Value and Place Value · 56 tens = 560 56 hundreds = 5600 2. Complete: a) In 7525 there are 7...

Grade 4 │ Play! Mathematics │ Answer Book 180

Term 4 │ Section 1 │ Whole Numbers Copyright Reserved ©

TERM 4 Section 1: Whole Numbers Question 1 │ Value and Place Value

1. Write down the value of each underlined digit. Value is how much a digit in a number is worth.

a) 6 259 200 b) 7 382 80 c) 8 137 100 d) 4 953 50

e) 2 936 6 f) 4 289 4 000 g) 3 545 40 h) 7 221 1

2. Write down the place value of each underlined digit. Think: “Position” (Th, H, T or U)

a) 6 158 U b) 4 709 Th c) 5 728 H d) 9 845 T

e) 2 342 H f) 3 928 T g) 8 912 Th h) 6 344 U

Question 2 │ Expanded Form

1. Write the following numbers in expanded form.

a) 4 837 = 4000 + 800 + 30 + 7 e) 2 354 = (2 × 1000) + (3 × 100) + (5 × 10) + 4

b) 6 535 = 6000 + 500 + 30 + 5 f) 3 237 = (3 × 1000) + (2 × 100) + (3 × 10) + 7

c) 3 096 = 3000 + 90 + 6 g) 5 028 = (5 × 1000) + (0 × 100) + (2 × 10) + 8

d) 2 950 = 2000 + 900 + 50 h) 6 615 = (6 × 1000) + (6 × 100) + (1 × 10) + 5

Question 3 │ Short Form

1. Write in short form.

a) 3000 + 4 = 3 004 b) 2000 + 300 + 4 = 2 304 c) 60 + 4000 = 4 060

d) 9000 + 2 + 50 = 9 052 e) 500 + 8000 = 8 500 f) 300 + 8000 + 7 = 8 307


a) 2000 + 90 + 5 + 40 = 2 135 b) 6 + 5000 + 4 + 700 = 5 710

c) 40 + 200 + 50 + 1 + 4000 = 4 291 d) 9000 + 40 + 500 + 3 + 300 = 9 843

e) 700 + 6000 + 50 + 300 = 7050 f) 4000 + 50 + 500 + 70 = 4 620


a) (3 × 1000) + (5 × 100) + (7 × 10) + (6 × 1) = 3 576

b) (4 × 1000) + (5 × 10) + (3 × 1) + (7 × 100) = 4 753

c)* (2 × 1000) + (7 × 10) + (7 × 100) + (6 × 10) = 2 830

d)** (7 × 1) + (8 × 100) + (4 × 1000) + (5 × 100) = 5 307



Question 4 │ Comparing Numbers

1. Insert the symbol > or < between each pair of numbers.

a) 9 256 < 9 265 b) 6366 < 6636 c) 8989 > 8898

2. Insert the symbol > , < or = between each pair of numbers.

a) 3000 + 70 > 700 + 30 b) 9 359 + 1 = 9 361 – 1

c)* 4 978 × 1 > 4 978 – 1 d)* 7895 + 30 = 7925

3. Which is larger? 500 + 80 + 6000 + 7 or (6 × 1000) + (5 × 10) + (8 × 100) + 7 6587 6857 Question 5 │ Odd and Even Nnumbers

1. Which numbers are even? 3 112 , 3 576 , 2 741 , 5 990 , 4 517 , 9 548

2. Complete the following sentences.

a) The largest 4-digit odd number is 9999.

b) The smallest 4-digit even number is 1000.

c) The even numbers between 3147 and 3155 are 3148 , 3150 , 3152 , 3154.

d) *The 3 odd numbers just before 1003 are 1001 , 999 , 997. 3.* Use the following digits to make the:

3 0 6 5

a) smallest even number: 3056 (must end on the 6)

b) biggest odd number: 6 503 (must end on the 3) Question 6 │ Number Facts

1. Complete: a) 17 units = 17

37 units = 37

87 units = 87

b) 3 tens = 30

5 tens = 50

8 tens = 80

c) 15 tens = 150

25 tens = 250

75 tens = 750

d) 3 hundreds = 300

4 hundreds = 400

9 hundreds = 900

e) 14 hundreds = 1400

64 hundreds = 6400

94 hundreds = 9400

f) 56 units = 56

56 tens = 560

56 hundreds = 5600

2. Complete: a) In 7525 there are 7 thousands, 75 hundreds, 752 tens or 7525 units.

b) In 4126 there are 4 thousands, 41 hundreds, 412 tens or 4126 units.

c) In 5097 there are 5 thousands, 50 hundreds, 509 tens or 5097 units.

d) In 8694 there are 8 thousands, 86 hundreds, 869 tens or 8694 units.

Think: The “crocodile mouth” eats the bigger number.

See pp. 241 - 242



Question 7 │ Adding and subtracting tens and hundreds

1. Complete the table: 2. Complete the table: Add 50 5T Add 500 5H Subtract 80 8T Subtract 800 8H

a) 125 (12T + 5T) 175 (1H + 5H) 625 a) 1895 (189T – 8T) 1815 (18H – 8H) 1095

b) 374 (37T + 5T) 424 (3H + 5H) 874 b) 1783 (178T – 8T) 1703 (17H – 8H) 983 c) 682 (68T + 5T) 732 (8H + 5H) 1375 c) 2376 (237T – 8T) 2296 (23H – 8H) 1576 d) 958 (95T + 5T) 1008 (9H + 5H) 1496 d) 4117 (411T – 8T) 4037 (41H – 8H) 3317

Question 8│ Number Sequences (counting in 100s)

1. Fill in the missing numbers in each.

a) 6644 ; 6744 ; 6844 ; 6944 ; 7044 ; 7144 ; 7244 ; 7344. Rule: +1H or +100 b) 9358 ; 9258 ; 9158 ; 9058 ; 8958 ; 8858 ; 8758 ; 8658 ; 8558. Rule: –1H or –100

Question 9 │ Number Sequences (counting in 10s)


a) 561 ; 551 ; 541 ; 531 ; 521 ; 511 ; 501 ; 491 ; 481 ; 471. Rule: –1T or –10 b) 3764 ; 3774 ; 3784 ; 3794 ; 3804 ; 3814 ; 3824 ; 3834. Rule: +1T or +10 c) 4541 ; 4531 ; 4521 ; 4511 ; 4501 ; 4491 ; 4481 ; 4471 ; 4461. Rule: –1T or –10

Question 10 │ Number Sequences (counting in multiples of 10)


a) 651 ; 631 ; 611 ; 591 ; 571 ; 551 ; 531 ; 511 ; 491 ; 471. Rule: –2T or –20 b) 4208 ; 4238 ; 4268 ; 4298 ; 4328 ; 4358 ; 4388 ; 4418 ; 4448. Rule: +3T or +30 c) 3764 ; 3734 ; 3704 ; 3674 ; 3644 ; 3614 ; 3584 ; 3554. Rule: –3T or –30 d) 8770 ; 8750 ; 8730 ; 8710 ; 8690 ; 8670 ; 8650. Rule: –2T or –20

Question 11 │ Number Sequences (counting in 25s)


a) 1000 ; 975 ; 950 ; 925 ; 900 ; 875 ; 850. Rule: –25

b) 6325 ; 6350 ; 6375 ; 6400 ; 6425 ; 6450 . Rule: +25

c)* 740 ; 765 ; 790 ; 815 ; 840 ; 865 ; 890 . Rule: +25



Question 12 │ Rounding off to the nearest 10, 100 or 1000

1. Round each of the following numbers off to the nearest 10.

Example: 4 927 ≈ 4 930 because there is a 7 in the units column.

a) 1512 ≈ 1510 b) 2849 ≈ 2850 c) 2872 ≈ 2870 d) 4583 ≈ 4580

e) 2763 ≈ 2760 f) 6945 ≈ 6950 g) 3387 ≈ 3390 h) 7027 ≈ 7030

i)* 8907 ≈ 8910 j)* 5903 ≈ 5900 k)* 5196 ≈ 5200 l)* 6396 ≈ 6400


Example: 4 825 ≈ 4 800 because there is a 2 in the tens column.

a) 193 ≈ 200 b) 537 ≈ 500 c) 672 ≈ 700 d) 967 ≈ 1000

3193 ≈ 3200 4537 ≈ 4500 6672 ≈ 6700 3967 ≈ 4000

e) 1265 ≈ 1300 f) 3207 ≈ 3200 g) 8492 ≈ 8500 h)* 3971 ≈ 4000

7605 ≈ 7600 7067 ≈ 7100 9319 ≈ 9300 5952 ≈ 6000


Example: 2 576 ≈ 3 000 because there is a 5 in the hundreds column.

a) 2183 ≈ 2000 b) 3567 ≈ 4000 c) 5802 ≈ 6000 d) 3109 ≈ 3000

e) 8083 ≈ 8000 f) 9242 ≈ 9000 g) 6032 ≈ 6000 h) 4983 ≈ 5000

4. Complete:

Number

Rounded off to the nearest

10 100 1000

a) 1 832 1 830 1 800 2 000

b) 6 396 6 400 6 400 6 000

c) 7 983 7 980 8 000 8 000

5. Complete:

a) 7 842 ≈ 7 800 correct to the nearest 100. b) 4 289 ≈ 4 000 correct to the nearest 1000. 6. There are 1 529 people in a soccer stadium. How many people, rounded off to the nearest ten, attended the game? 1 530 people 7.* Which numbers below will give 410 when rounded off to the nearest 10?

402 405 415 412 392 414 406


Term 4 │ Section 2 │ Addition and Subtraction Copyright Reserved ©

TERM 4 Section 2: Addition and Subtraction

Question 1 │ Mental Maths

1. Complete:

a) 5 + 7 = 12 b) 6 + 7 = 13 c) 7 + 8 = 15 d)* 15 + 16 = 31 15 + 7 = 22 16 + 7 = 23 27 + 8 = 35 25 + 16 = 41 45 + 7 = 52 66 + 7 = 73 77 + 8 = 95 35 + 26 = 61 8 + 4 = 12 9 + 7 = 16 8 + 9 = 17 13 + 19 = 32 28 + 4 = 32 39 + 7 = 46 28 + 9 = 37 23 + 19 = 42 58 + 4 = 62 89 + 7 = 96 58 + 9 = 67 43 + 29 = 72 2. Complete the table: 3. Complete the table: Add 30 3T Add 300 3H Subtract 70 Subtract 700

a) 4175 (417T + 3T) 4205 (41H + 3H) 4475 a) 1895 (189T – 7T) 1825 (18H – 7H) 1195

b) 2394 (239T + 3T) 2424 (23H + 3H) 2694 b) 1763 (176T – 7T) 1693 (17H – 7H) 1063 c) 6958 (695T + 3T) 6988 (69H + 3H) 7258 c) 4116 (411T – 7T) 4046 (41H – 7H) 3416

Question 2 │ “More than” and “Less than”

1. What number is: 2. What number is: a) 12 more than 78? 78 + 12 = 90 a) 5 less than 92? 92 – 5 = 87

b) 70 more than 85? 85 + 70 = 155 b) 80 less than 325? 325 – 80 = 245

c) 50 more than 983? 983 + 50 = 1033 c) 40 less than 1218? 1218 – 40 = 1178

d) 400 more than 987? 987 + 400 = 1387 d) 500 less than 4286? 4286 – 500 = 3786 3. Complete: 4. Complete:

a) 50 is 35 more than 15. 50 – 15 = 35 a) 85 is 15 less than 100. 100 – 85 = 15

b) 81 is 47 more than 34. 81 – 34 = 47 b) 47 is 53 less than 100. 100 – 47 = 53

c) 152 is 80 more than 72. 152 – 72 = 80 c) 300 is 963 less than 1263. 1263 – 300 = 963

d) 1368 is 568 more than 800. 1368 – 800 = 568 d) 1200 is 115 less than 1315. 1315 – 1200 = 115

Question 3 │ Inverse Operations

1. Use inverse operations to calculate the missing numbers in each. [Use vertical-column method]

a) 8 + 6 = 14 [14 – 6 = 8]

b) 10 – 7 = 3 [7 + 3 = 10]

c) 9 + 7 = 16 [16 – 9 = 7]

d) 10 – 6 = 4 [10 – 4 = 6]

31 + 45 = 76 [76 – 45 = 31]

35 – 9 = 26 [26 + 9 = 35]

25 + 15 = 40 [40 – 25 = 15]

106 – 99 = 7 [106 – 7 = 99]

295 + 80 = 370 [375 – 80 = 295]

125 – 85 = 40 [40 + 85 = 125]

80 + 156 = 236 [236 – 80 = 156]

146 – 66 = 80 [146 – 80 = 66]



Question 4 │ Word Problems (Sum and Difference)

1. The sum of two numbers is 125. The one number is 80. 80 + ______ = 125 What is the other number? 45 125 – 80 = 45 2. The difference between two numbers is 250. The larger number is 800. What is the other number? 550 800 – _____ = 250 800 – 250 = 550 3.* The difference between two numbers is 1250. ______ – 850 = 1250 What is the larger number if the smaller number is equal to 850? 1250 + 850 = 2100 = 2100 Question 5 │ “Breaking-down” method

1. Complete using the breaking-down method.

a) 5976 + 2725 Th H T U b) 9739 – 4193 Th H T U c) 4327 + 3583 = 7910

6 + 5 = 11 9 – 3 = 6 d) 6563 – 2827 = 3736

70 + 20 = 1 90 130 – 90 = 40 e) 5989 + 3486 = 9475

900 + 700 = 1600 600 700 – 100 = 500 f) 5182 – 2437 = 2745

5000 + 2000 = 7000 9000 – 4000 = 5000 g) 5749 + 3852 = 9601

5976 + 2725 = 8701 9739 – 4193 = 5546 h) 7283 – 6598 = 685

Question 6 │ “Vertical-column” method

1. Complete:

Example 1

1 1

Example 2

1 1 1 a) 4357 + 1638 = 5995

5657 2576 b) 5496 + 2354 = 7850

+ 4195 + 4829 c) 5487 + 2586 = 8073

9852 7405 d) 5598 + 3817 = 9415

2. Complete:

Example 1

5 15

Example 2

8 14 6 16 a) 4951 – 3532 = 1419

5 6 5 7 9 4 7 6 b) 7956 – 3865 = 4091

– 1 2 8 5 – 5 6 2 8 c) 8184 – 4436 = 3748

4 3 7 2 3 8 4 8 d) 8796 – 5728 = 3068

3. Theo must save money for a new bicycle. He has already saved R1255. If he has to save R3990 in total, how much does he still have to save? R3990 – R1255 = R2735 He still has to save R2735. 4. Sipho has R1950 more in his bank account than Suzy. If Suzy has R4850, how much money does Sipho have? R4850 + R1950 = R6800



Question 7 │ Subtraction involving zeros

1. Complete:

Example 1

6 10

Example 2

5 9 10

Example 3

8 9 9 10 9 7 7 0 7 6 0 0 9 0 0 0

– 1 6 3 3 – 3 2 6 8 – 6 5 2 7

8 1 3 7 4 3 3 2 2 4 7 3

a) 4750 – 1637 b) 5960 – 2743 c) 7800 – 2538 d) 8700– 2364

= 3113 = 3217 = 5262 = 6336

e) 9270 – 3651 f) 6200 – 4527 g) 9000 – 2476 h) 7000– 5685 = 5619 = 1673 = 6524 = 1315

2. Andrew has R6000 in his bank account. If he has R2845 more than Paul, how much money does Paul have in his bank account? R6000 – R2845 = R3155 3. Paulina must save money for a new washing machine. She has already saved R1893. How much does she still have to save if the washing machine costs R4000? R4000 – R1893 = R2107 She still has to save R2107. Question 8 │ Adding three numbers

1. Complete. 1 1

a) 2154 b) 458 + 562 + 109 = 1 129

448 c) 2 538 + 727 + 128 = 3 393

+ 4226 d) 4 193 + 2 237 + 582 = 7 012

6828 e) 4 257 + 1 503 + 3 228 = 8 988

Question 9 │ Problem Solving

1. Vusi wants to buy a t-shirt for R125, a pair of jeans for R550 and sunglasses for R359. He has R1100 in his wallet. Does he have enough money to buy all 3 items? R125 + 550 + 359 = R1034 Yes, he does have enough money.

2. On Tuesday a supermarket received 1489 newspapers. During the morning 657 newspapers were sold and 772 were sold during the afternoon. How many were not sold by the end of the day? Total sales = 657 + 772 = 1429 Newspapers not sold = 1489 – 1429 = 60

3. Joyce wants to buy a fridge for R3499 and a microwave oven for R1550. She has saved R4700. How much must she still save so that she can buy both appliances? Cost for both appliances = R3499 + R1550 = R5049 Amount still to save = R5049 – R4700 = R349

4.* Thabo bought 2 fridges for R2100 each. He sold the one for R2395 and the other for R2190. How much profit did he make altogether? Profit on fridge 1 = R2395 – R2100 = R295 Profit on fridge 2 = R2190 – R2100 = R 90 Total Profit = R295 + R90 = R385


Term 4 │ Section 3 │ Mass Copyright Reserved ©

TERM 4 Section 3: Mass Question 1 │ The Basics 1. Study: The mass of an object tells us how heavy it is or how much it weighs. The standard unit for measuring mass is the kilogram (kg).

Examples:

Bag of sugar Bag of flour 9 year old boy

1kg 2kg 35kg

The mass of smaller articles or objects, are measured in grams (g). Remember kilo- means thousand. There are 1000 grams in 1 kilogram.

Examples: iPhone Block of butter

R5 coin 120g 500g 10g

2. True or False? a) The mass of an object tells us how heavy it is. True

b) We use “litres” to measure mass. False

c) A two-cent coin has a mass of 100g. False – only about 4g

d) The mass of an object tells us how much space it occupies. False

3. Do the following objects have a mass of “more than” or “less than” a kilogram?

a)

b)

c) d) e)

less than more than less than less than more than

4. Write down whether each will be measured in kilograms or in grams.

a) a man kilograms. b) a pencil grams. c) a tin of jam grams.

d) a TV kilograms. e) a R1 coin grams. f) a packed suitcase kilograms.

5. Select the mass which is nearest to correct.

The mass of:

a) a 9-year old boy is 35g 350kg 35kg

b) a tin of jam is 25g 250g 25kg

c) a five-cent coin is 5g 5kg 500g

d) a new-born baby is 15kg 3kg 3g

e) a standard loaf of bread is 8kg 8g 800g

1kg = 1000g



Question 2 │ Writing mass in grams

1. Complete: a) 1kg = 1 000 g b) 3kg = 3 000 g c) 2kg = 2 000 g d) 4kg = 4 000 g

e) 9kg = 9 000 g f) 6kg = 6 000 g g) 8kg = 8 000 g h) 7kg = 7 000 g

2. Complete:

a) 3 kg 575 g = 3000 g + 575 g = 3 575 g d) 9 kg 380 g = 9 380 g

b) 2 kg 400 g = 2000 g + 400 g = 2 400 g e) 1 kg 812 g = 1 812 g

c) 4 kg 317 g = 4000 g + 317 g = 4 317 g f) 6 kg 450 g = 6 450 g

3. Complete: not only 530 g

a) 5 kg 30 g = 5000 g + 30 g = 5 030 g d) 9 kg 38 g = 9 038 g

b) 9 kg 55 g = 9000 g + 55 g = 9055 g e) 3 kg 12 g = 3 012 g

c) 4 kg 73 g = 4000 g + 73 g = 4073 g f) 2 kg 52 g = 2 052 g

4. Complete: not only 89 g

a) 8 kg 9 g = 8000 g + 9 g = 8 009 g d) 9 kg 8 g = 9 008 g

b) 3 kg 4 g = 3000 g + 4 g = 3 002 g e) 4 kg 2 g = 4 002 g

c) 5 kg 2 g = 5000 g + 2 g = 5 002 g f) 2 kg 7 g = 2 007 g

5. Complete:

a) 2 kg 500 g = 2 500 g d) 4 kg 653 g = 4653 g g) 2 kg 8 g = 2 008 g

b) 2 kg 50 g = 2 050 g e) 8 kg 27 g = 8 027 g h) 4 kg 25 g = 4 025 g

c) 2 kg 5 g = 2 005 g f) 1 kg 2 g = 1 002 g i) 3 kg 700 g = 3 700 g

Question 3 │ Writing mass in kilograms and grams

1. Complete: 2. Complete: 3. Complete:

a) 3 542 g = 3 kg 542 g a) 5 020 g = 5 kg 20 g a) 2 007 g = 2 kg 7 g

b) 4 600 g = 4 kg 600 g b) 2 062 g = 2 kg 62 g b) 8 006 g = 8 kg 6 g

c) 9 312 g = 9 kg 312 g c) 8 013 g = 8 kg 13 g c) 1 004 g = 1 kg 4 g

d) 7 780 g = 7 kg 780 g d) 3 070 g = 3 kg 70 g d) 6 003 g = 6 kg 3 g

e) 2 215 g = 2 kg 215 g e) 1 075 g = 1 kg 75 g e) 4 002 g = 4 kg 2 g

Questions d, e and f must be done mentally.



1kg 3kg 250g

3kg

100g 1200g 1000g

3250g

Question 4 │ Conversions between kilograms and grams

1. True or False? a) 7 kg 250 g = 7250 g True

b) 3 kg 80 g = 380 g False [3 kg 80 g = 3080 g]

c) 9 kg 7 g = 9700 g False [9 kg 7 g = 9007g] 2. Complete:

a) 4 kg 65 g = 4 065 g e) 9257 g = 9 kg 257 g i) 1075 g = 1 kg 75 g

b) 7 kg 2 g = 7 002 g f) 2060 g = 2 kg 60 g j) 1 kg 50 g = 1 050 g

c) 7354 g = 7 kg 354 g g) 1 kg 1 g = 1 001 g k) 8500 g = 8 kg 500 g

d) 3015 g = 3 kg 15 g h) 3 kg 57 g = 3 057 g l) 9 kg 8 g = 9 008 g

Question 5 │ Compare and Order

1. Order these objects from the lightest to the heaviest object. C , A , D , E , B A B C D E

2. Insert > , < or = to make correct statements.

a) 7kg > 700 g b) 2060 g > 2006 g c) 5500 g > 5kg 50 g

d) 2kg 760 g > 2716 g e) 7kg 6g < 7600 g f) 6kg 315 g < 6351 g

3. Consider the objects:

a) Which is bigger, the packet of chips or the chocolate slab? The chips

b) Which weighs more? The chocolate

c) True or False? Bigger objects always weigh more than smaller objects. False

4. Which of the following is heavier?

a) 2kg of butter or 3kg of margarine. b) 1kg of sand or 1kg of feathers. Neither (both weigh 1kg)

c) 1kg of sand or 2kg of sawdust. d) 600g of sugar or 500g of flour.

e) 500g of sugar or 500g of margarine. Neither (both weigh 500g)

f) 2kg of butter or 2kg of margarine. Neither (both weigh 2kg)

200g 125g



5. Which of the following is heavier?

a) 1 cup of sand or 1 cup of sawdust. [Sand is heavier than sawdust]

b) 1 cup of leaves or 1 cup of stones. [Stones are heavier than leaves]

c) 1 cup of water or 1 cup of leaves. [Water is heavier than leaves]

d) 1 cup of sawdust or 1 cup of sugar. [Sugar is heavier than sawdust]

6. Which of the following is heavier? [Mixed questions]

a) 1kg of sand or 1kg of sawdust. Neither (both weigh 1kg)

b) 1 cup of stones or 1 cup of sawdust. [Stones are heavier than sawdust]

c) 601 g of sugar or 600 g of flour.

d) 500g of leaves or 500g of stones. Neither (both weigh 500g)

Question 6 │ Basic Operations

1. Complete: 2. Complete: 3. Complete: a) 3 542 g + 789 g

= 4kg 331g a) 7kg × 3

= 21 kg a) 24 g ÷ 3

= 8 g

b) 8 748 g – 1 529 g = 7kg 219g

b) 12 g × 4 = 48 g

b) 42 g ÷ 3

= 14 g

*c) 1 kg 257 g + 925 g = 2kg 182g

c) 7kg 200g × 2 = 14kg 400 g

c) 248g ÷ 4 = 62g

*d) 5 kg 257 g – 2kg 92 g = 3kg 165g

d) 6kg 120g × 3 = 18kg 360 g

*d) 9 kg 426g ÷ 3 = 3kg 142g

4. Complete:

a) 4kg 500g × 3 = 12kg 1500g = 13kg 500g

b) 5kg 300g × 4 = 20kg 1200 g

= 21kg 200 g

*c) 8kg 560g × 2 = 16kg 1120 g

= 17kg 120 g 5. Complete: Change kilograms to grams before calculating.

a) 1kg – 200 g = 1000g – 200g = 800g

b) 1kg – 500 g = 1000 g – 500 g

= 500 g

c) 1kg – 450 g = 1000 g – 450 g

= 550 g

d) 2kg – 300 g = 2000g – 300g = 1700g

e) 2kg – 500 g = 2000 g – 500 g

= 1500 g

*f) 5kg – 750 g = 5000 g – 750 g

= 4250 g

6. Problem solving: a) 1 basket of apples has a mass of 2 kg 600g. 2kg 600g × 3 = 6kg 1800g What is the mass of 3 of the same baskets of apples? = 7kg 800g

b) The mass of 4 cartons is 986g. How much does one carton weigh? 986g ÷ 4 = 246g

c) Mrs Harris cuts 125g of butter from a 1kg block of butter. How much butter is left? 1000g – 125g = 875g



1kg 125g 500g 100g 1100g 1000g

5kg

2 kg 8 kg

Question 7 │ Compare and Order 1. Consider the objects below. A B C D E a) Order these objects from the lightest to the heaviest. C , B , D , A , E

b) How much more does the sugar weigh than the flour? 100g more

c) How many tubs of butter will have the same mass as one bag of flour? 2 (500g × 2 = 1000g)

d) How many apples will have the same mass as one tub of butter? 5 (100g × 5 = 500g) 2. How many packets of “Tastic” rice has the same mass as 1 bag of “Pedigree” dog food? 8 ÷ 2 = 4 packets

Question 8 │ Mass and “Rate”

1. The mass of 1 packet of cat food is 2kg, means the mass of

a) 4 of the same packets of cat food = 4 × 2kg = 8 kg

b) 8 of the same packets of cat food = 8 × 2kg = 16 kg

c) 16 of the same packets of cat food = 16 × 2kg = 32 kg

2. The mass of 1 packet of sugar is 5kg, means the mass of

a) 3 of the same packets of sugar = 3 × 5kg = 15 kg

b) 6 of the same packets of sugar = 6 × 5kg = 30 kg

c) 12 of the same packets of sugar = 12 × 5kg = 60 kg

3. Study: The mass of 2 bars of soap is 240g.

a) What is the mass of 1 bar of soap? 240g ÷ 2 = 120g We use this answer for b).

b) What is the mass of 3 bars of soap? 3 × 120g = 360g 4. The mass of 6 bars of soap is 540g.

a) What is the mass of 1 bar of soap? 540g ÷ 6 = 90g Use this answer to calculate b) – d).

b) What is the mass of 2 bars of soap? 2 × 90g = 180g

c) What is the mass of 7 bars of soap? 7 × 90g = 630g

d) What is the mass of 12 bars of soap? 12 × 90g = 1080g or 540g × 2 = 1080g

e)* What is the mass of 13 bars of soap? 13 × 90g = 1170g or 1080g + 90g = 1170g

×2

×2

×2

×2

×2

×2

×2

×2 2kg



Question 9 │ Calculating the price per kg (rate) 1. Study: To work out a price involving mass we want to know what ONE kilogram will cost.

Example: If it costs R45 for 9kg of potatoes, it means that it costs R5 for 1kg of potatoes.

This rate is calculated as follows: R45 ÷ 9kg = R5/kg

2. Calculate the price per kilogram of each of the following: (What will 1 kilogram cost?) a) R55 for 5kg of flour.

(R55 ÷ 5kg) R 11 / kg b) 3kg of tomatoes cost R60.

(R60 ÷ 3kg) R 20 / kg

*c) R35,50 for 5kg of sugar. (R35,50 ÷ 5kg)

Divide R and cents by 5

R 7,10 /kg *d) 2kg of wors costs R80,90. (R80,90 ÷ 2kg)

Divide R and cents by 2

R 40,45 / kg

3. Complete: a) Alex bought 4kg of wors for R160. What is the price per kilogram for this wors? R160 ÷ 4kg = R40/kg

b) Paul bought 5kg of wors for R215. What is the price per kilogram for this wors? R215 ÷ 5kg = R43/kg

c) Who made the “better buy”, Alex or Paul? Alex – R3 cheaper per kilogram.

Question 10 │ Using a price per kilogram to solve problems

1. Study: If it costs R20 for 1 kg of potatoes, we write this as R20/kg.

a) How much do 3kg’s of potatoes cost? b) How much do 7kg’s of potatoes cost? Answer: R20 × 3 = R60 Answer: R20 × 7 = R140

2. Complete the table and then answer the questions that follow.

Protein

Price per kilogram

Cost for

2 kg 4 kg 8 kg 10 kg

a)

Chicken

R 85 / kg R170 R340 R680 R850

b)

Beef

R 100 / kg R200 R400 R800 R1000

c)

Lamb

R 120 / kg R240 R480 R960 R1200

d) Margie buys 2kg of chicken and 1kg of beef. How much does she spend in total? Amount spent = R170 + R100 = R270

e) Which is more expensive? 3kg of chicken or 2kg of lamb. The chicken is R15 more expensive

R85 × 3 = R255 R120 × 2 = R240

We say this: R20 per ONE kg.

We say: R5 per ONE kg.



5kg

2,5kg

Question 11 │ Working with Fractions

1. Study: 1kg = 1000g 12

kg = 500g 14

kg = 250g 34

kg = 750g

2. Complete: 3. Complete: 4. Complete: 5. Complete: a) 1

2kg = 500 g a) 1

4kg = 250 g a) 3

4kg = 750 g a) 1

12

kg = 1 500 g

b) 112

kg = 1 500 g b) 12

4kg = 2 250 g b) 3

14

kg = 1 750 g b) 32

4kg = 2 750 g

c) 14

2kg = 4 500 g c) 1

54

kg = 5 250 g c) 34

4kg = 4 750 g c) 1

54

kg = 5 250 g

d) 18

2kg = 8 500 g d) 1

74

kg = 7 250 g d) 39

4kg = 9 750 g d) 3

4kg = 750 g

6. Insert >, < or = to make correct statements.

a) 12 kg < 600g b) 1

4 kg < 750g c) 612 kg = 6500g

d) 200g < 14 kg e) 2kg 500g > 2

14 kg f) 1

21 kg = 1500g

7. Study: a) 0,5 kg is another way of writing half a kilogram. 0,5 kg = 500 g

b) 1,5 kg is another way of writing 1 and a half kg. 1,5 kg = 1 kg 500 g

c) 2,5 kg is another way of writing 2 and a half kg. 2,5 kg = 1 kg 500 g

8. True or False? a) Half a kilogram is written as 0,5kg. True

b) 1,5 kg is another way of writing 1½ kg. True

c) 2kg 500g > 2,5 kg. False – they are equal 9. Study: a) 0,5kg × 2 = 1kg because 500g × 2 = 1000g

b) 2,5kg × 2 = 5kg because 2500g × 2 = 5000g

10. Complete: a) 0,5 kg × 2 = 1 kg b) 1,5 kg × 2 = 3 kg c) 2,5 kg × 2 = 5 kg d)* 2,5 kg × 4 = 10 kg

11. Complete: a) Which weighs more, the sugar or the flour? The sugar

b) How many bags of flour will have the same mass as the bag of sugar? 2

12. The mass of 1 packet of rice is 1,5 kg.

a) How much will 2 of the same packets of rice weigh? 1,5kg × 2 = 3kg

*b) How much will 4 of the same packets of rice weigh? 1,5kg × 4 = 6kg (2 packets weigh 3 kg 4 packets will weigh 6kg)

sugar

flour



4kg

1,5kg


1. Mrs. A bought 212 kg of flour, 750 g of margarine and 1 kg 200 g of sugar.

What was the total mass of the goods, in kg and g? Change all units to grams

Total mass of the goods = 2500g + 750g + 1200g = 4450g = 4 kg 450 g

2. Lindsay cut 14 kg of butter for herself and 120g for Annaleen from a 1kg block of butter.

a) How much butter did she cut altogether? 250g + 120g = 370g 14 kg = 250g butter

b) How much butter was left in the block? 1000g – 370g = 630g 3. Mrs Jones goes grocery shopping. She buys the following items:

2700 g 2050 g 4500 g

a) What is the heaviest item? The meat.

b) What is the lightest item? The bread.

c) What is the mass of the tomatoes and the potatoes in grams? 1500g + 1200g = 2700 g

d) What is the mass of the bread and the onions in grams? 800g + 1250g = 2050g

e)* What is the mass of her entire shopping bag in kilograms? [leave answer in fraction form]

2700g + 2050g + 4500g [Adding 2 items together at a time, as above]

= 9250 g = 914 kg

f) Would Mrs Jones easily carry her groceries home alone? No, the bag is too heavy.

4. Spar sells the following: Flour:

Sugar:

How much will 5 bags of sugar and 2 bags of flour weigh together? Mass of Sugar × 5 + Mass of Flour × 2 = (4kg × 5) + (1,5kg × 2) = 20 kg + 3 kg = 23 kg

Question 13 │ Scales

1. Which measuring tool would you use to weigh yourself? C

A B C D Max 1kg

Potatoes 1 12 kg Bread 800 g Cheese 1

2 kg

Tomatoes 1kg 200 g Onions 1 14 kg Meat 4 kg

Remember: 1,5kg = 1500g and 1500 × 2 = 3000g



2. Write down the reading from each 1kg scale below. a) 500g b) 400g c) 800g d)* 250g

3. Draw an arrow to indicate the given amounts on each scale. a) 700g b) 100g c) 0,5 kg d)* 650g

e) ¼ kg (250g) f) 900 g g) 150 g h) ¾ kg (750g)

4. Write down the reading from each 5kg scale below. a) 2 kg b) 1 kg 500g c) 500g d)* 4kg 500g

5. Draw an arrow to indicate the given amounts on each scale. a) 1 kg b) 2,5 kg c) 3000g d) 0,5kg


Term 4 │ Section 4 │ 3-D Objects Copyright Reserved ©

TERM 4 Section 4: 3-D Objects Question 1 │ Identify 3-D Objects

1. a) Which figures below are 2-D? A , C , D , F b) Which figures below are 3-D? B , E , G , H

A B C D

E F G H

2. Name the 3-D objects below.

cube rectangular

prism sphere cone cylinder

square-based pyramid

3. In what way is a cylinder and a cone:

a) the same? They both have circular bases.

b) different? A cone ends on a point (vertex) but a cylinder has 2 circular ends.

4. Write down the letter of each object below which has same shape as a:

A B C D

E F G H

A

B C D E F

rectangular prism: E

cube: G

cylinder: A and F

cone: C pyramid: D

sphere: B and H



Question 2 │ Prisms

1. Study: Objects that look like boxes are called prisms. They only have flat surfaces. Their flat surfaces are called faces. 2. Complete:

a) Which set of shapes (A, B or C) can be used to make a cube? C

b) How many faces does a cube have? 6

c) What shape are the faces of a cube? Squares

d) Name one object which can be found in your house or at a shop which has the same shape as a cube. Dice, box , ice cube, sugar cube etc. Answers will vary.

e) Is a cube a prism? Yes

3. Study: Rectangular prisms have 6 faces in total. They can have 4 rectangular faces and 2 square faces or 6 rectangular faces.

4. Complete:

a) Which set of shapes (A or B) can be used to make this rectangular prism C? B

b) How many faces does a rectangular prism have? 6

c) What shape are the faces of rectangular prism C? 2 squares and 4 rectangles

d) Name one object which can be found in your house or at a shop which has the same shape as a rectangular prism. Cereal box, dictionary , brick, etc [answers will vary] 5. Complete: a) Name two similarities between a cube and a rectangular prism. 1. Prisms (box shape) 2. 6 Faces [3. Only flat faces.]

b) Name one difference between a cube and a rectangular prism. 1. Cube: only square faces Rectangular Prism: squares and/or rectangles

6. Complete: a) Which objects below have the same shape as a rectangular prism? B and E

b) Which object below has the same shape as a cube? C

A B C D E

C

A: B: C:

A: B:



Question 3 │ Cylinders

1. Study: A cylinder is made up of 2 circles with a rectangle that is wrapped around the outside of each. 2. Complete:

a) Which set of shapes (A, B or C) can be used to make a cylinder? B (not C!)

b) How many faces does a cylinder have? 3

c) What shape are the faces of a cylinder? 2 identical circles and 1 rectangle

d) Name one object which can be found in your house or at a shop which has the same shape as a cylinder. Toilet paper roll, deodorant , soda can, etc [answers will vary]

e) Is a cylinder a prism? No – prisms only have flat surfaces.

Question 4 │ Cones and Pyramids

1. Complete: a) Name the 3-D object. Cone b) What is the base of the 3-D object? Circle

c) Select the correct box below to describe the object. C

2. Complete: a) Is this 3-D object a prism or a pyramid? pyramid b) What is the base of the 3-D object? Square

c) Name the 3-D object. Square-based pyramid

d) Select the correct box below to describe the object. B

e) Which set of shapes (A or B) can be used to make a square-based pyramid? A

f) How many faces does a square-based pyramid have? 5 (1 square base, 4 triangles)

A: Curved surfaces only B: Flat surfaces only C: Curved and flat surfaces

A: Curved surfaces only B: Flat surfaces only C: Curved and flat surfaces

vertex

vertex

A: B:

A: B: C:



Question 5 │ Number and Shape of Faces

1. Complete:

3-D Object Name Number of Faces Shape of Faces

a)

cube 6 Squares

b)

cylinder 3 2 circles

1 rectangle

c)

rectangular prism

6 2 squares

4 rectangles

d)

square-based pyramid

5 1 square

4 triangles

Question 6 │ Nets

1. Study: A net is a 2-dimensional shape that can be folded to form a 3-dimensional object.

2. Which 3-D object can be made with each of the following nets? a) b) c) d) cube cylinder square-based pyramid rectangular prism 3. Draw a net for each of the following 3-D objects. Answers may vary. a) Cube b) Cylinder


Term 4 │ Section 5 │ Common Fractions Copyright Reserved ©

TERM 4 Section 5: Common Fractions Question 1 │ Fraction Names and Symbols: Part 1

1. What fraction of each of the following figures has been shaded?

A B C D E

14

12 1

3 15 1

8

2. a) Which is the bigger piece, 14 of an apple or

13 of an apple?

13 of an apple

b) Sam and Alfred each buy a pizza.

Sam eats12 of his pizza and Alfred eats

13 of his pizza. Who eats the most? Sam

3. True or False? One quarter of the rectangle has been shaded. Give a reason for your answer.

False – the four parts are not equal in size.

4. Write down which fraction of the whole diagram is shaded.

A B C D E

One quarter /14 One third/ 1

3 One fifth/ 15 One third/ 1

3 One fifth/ 15

5. Order the fractions from the smallest to the biggest: 18 ,

17 ,

16 ,

15 ,

14 ,

13 ,

12 .

6. Fill in > , < or = between each pair of fractions to make correct statements.

a) 12 >

13 b) 1

4 < 12 c) 1

3 > 15 d) 1

7 > 18

e) 15 <

14 f) 1

6 < 13 g) 1

3 < 12 h) 1

5 < 14

7. One cake is sliced into eight equal pieces.

Jon eats 1 slice. What fraction of the cake did Jon eat? 18

8. One orange is shared equally among 4 children. What fraction of the orange does each child get? 1

4

16

15

18

17

13

12

14



Question 2 │ Fraction Names and Symbols: Part 2

1. Study: Two thirds means 2 of 3 equal parts and is written23 .

Four fifths means 4 of 5 equal parts and is written45 .

2. Write down the correct number symbol for each question.

a) 3 of 4 equal parts. 34 b) 2 fifths 2

5 c) 1

6

d) 5 eighths 58 e)

25 f) 3 of 7 equal parts. 3

7

g) 4

8 h) 4 of 6 equal parts. 46 i) 2 halves =2

21

3. Each figure below has been divided into an equal number of parts.

a) b) Complete the table:

c) d)

4.* Write down the fraction of each whole diagram which is shaded.

A B C D E

Two quarters /24 Two thirds/ 2

3 Three fifths/ 35 Two thirds/ 2

3 Three fifths/ 35

5. There are 8 lollipops in a bag. Four lollipops are red, 3 are blue and the rest are green.

a) What fraction of the lollipops are red? 48

b) What fraction of the lollipops are blue? 38

c) How many lollipops are green? 8 – 7* = 1 green 4 red + 3 blue = 7 lollipops*

d) What fraction of the lollipops are green? 18

6. A tart is sliced into six equal pieces. Four pieces have been eaten.

What fraction of the cake has not been eat? 26

[2 out of the six pieces have not been eaten.]

Fraction of figure shaded

Fraction of figure not shaded

a) 23 1

3

b) 38 5

8

c) 47 3

7

d) 16 5

6

See pp. 248 - 249



Question 3 │ Ordering and Comparing: Part 1

1. Study the fraction names and symbols below:

1 quarter 2 quarters 3 quarters 4 quarters

14

24

34 =4

41

2. True or False? One half of the square has been shaded. True: 2 parts out of 4 equal parts are shaded.

3. Complete: a) 1 whole = 4 quarters or 1 = 44

b) 1 half = 2 quarters or 12 =

24

c) Which is larger? 12 or

34 .

34 is larger because =1 2

2 4

4. Order the numbers from the smallest to the biggest: 12 , 0 ,

34 , 1 ,

14 0 ,

14 ,

12 ,

34 , 1


a) 14 < 1 b) 1

4 < 34 c) 2

4 > 14 d) 1

2 = 24

e) 34 >

12 f) 4

4 = 1 g) 24 =

12 h) 1

2 < 34

6. Mark 12 and

34 on the number line: | | | | |

0 12 3

4 1

7. Complete the fraction wall.

1 whole

12

12

14

14

14

14

18 1

8 18 1

8 18 1

8 18 1

8

8. Use the fraction wall to fill in the missing numbers.

a) 1 whole = 2 halves b) 1 half = 2 quarters c) 1 quarter = 2 eighths

1 whole = 4 quarters 1 half = 4 eighths 2 quarters = 4 eighths

1 whole = 8 eighths 3 quarters = 6 eighths

9. Complete to write 1 in fraction form:

a) 1 =33

b) 1 = 4

4 c) 1 = 8

8 d) 1 = 5

5 e) 1 = 7

7

NB: =1 22 4



Question 4 │ Ordering and Comparing: Part 2

1.* Fill in the missing numbers. [Use the fraction wall on the previous page if necessary]

a) 12 =

24 b) 1

2 = 48 c) 1

4 = 28 d) 3

4 = 68 e) 4

4 = 88

2. Complete:

a) Mark18 ,

38 ,

12 and

78 on the number line: NB: 1 4

2 8=

| | | | | | | | |

0 18 3

8 12 7

8 1

b)* Order the numbers below from the smallest to the biggest:

5 31 18 2 8 8

0 1 , , , , , 1 3 51 1

8 8 2 80 1 , , , , , 1

3. Remember that: a) 1 quarter = 2 eighths. This can also be written as 14 =

28 .

b) 3 quarters = 6 eighths. This can also be written as 34 =

68 .

4. Complete:

a) Mark 14 ,

12 ,

34 and

58 on the number line: 1 2

4 8= and 3 6

4 8=

| | | | | | | | |

0 14 1

2 58 3

4 1

b) Order the numbers below from the smallest to the biggest: NB: 3 64 8=

3 51 1

4 4 2 80 1 , , , , , 1

5 31 14 2 8 4

0 1 , , , , ,

5. Complete: a) Which is larger? 14 or

38 .

38 because =1 2

4 8

b) Which is smaller? 12 or

58 .

12 because

1 42 8=

6. Complete: a) Which fractions are equal to 1? 3 5 14 7

8 28 2 53

5 , , , , , 1

b) Which fractions are equal to 12 ?

5 3 4 78 7 6

4 28 4 7

, , , , , 1


a) 13 <

23 b) 3

5 > 15 c) 3

8 < 78 d) 1

6 < 56

e) 34 >

14 f) 6

7 < 77 g) 4

4 = 1 h) 1 > 78

i)* 34 >

12 j)* 1

4 = 28 k)* 1

2 < 58 l)* 3

8 > 14



Question 5 │ Numerator and Denominator

1. Study: numerator

Fraction = denominator

For example: In the fraction 56 , 5 is the numerator and 6 is the denominator.

Denominator Numerator

In any fraction, the number written below the fraction line is called the denominator. The denominator tells us into how many equal parts the whole has been divided into.

The number written above the fraction line is called the numerator. The numerator tells us how many of the equal parts into which the whole has been divided, are taken.

2. Fill in the missing number or word:

a) In the fraction 17 , 1 is the numerator and 7 is the denominator.

b) In the fraction 38 , 3 is the numerator and 8 is the denominator.

3. True or False?

a) In any fraction, the number written below the line is called the denominator.

True

b) The numerator tells us how into many equal parts the whole has been divided into. [The denominator does.]

False

c) The numerator tells us how many of the equal parts into which the whole has been divided, are taken.

True

Question 6 │ Addition of Fractions

1. Shade the answer for each diagram sum and then complete each sentence. a)

b)

2 fifths + 2 fifths = 4 fifths 2 quarters + 2 quarters = 4 quarters = 1

c)

d)

2 eighths + 3 eighths = 5 eighths 2 sixths + 4 sixths = 6 sixths = 1


a) 1 =22

b) 1 = 4

4 c) 1 = 8

8 d) 1 = 5

5 e) 1 = 7

7

3. Complete:

a) 1 third + 1 third = 2 thirds b) 1 seventh + 1 seventh = 2 sevenths

c) 3 eighths + 2 eighths = 5 eighths d) 1 quarter + 2 quarters = 3 quarters

e) 5 sixths + 1 sixths = 6 sixths = 1 whole f) 2 fifths + 3 fifths = 5 fifths = 1 whole

+ = + =

+ = + =



4. Shade the answer for each diagram sum and then complete each sentence.

a)

b)

24 +

14 =

34

26 +

36 =

56

c)

d)

38 +

58 =

88 = 1

25 +

35 =

55 = 1

5. Study: 1 13 3+ =

23 and not

26 and

2 14 4+ =

34 and not

38

NB: When we add fractions, we never add the denominators.

6. Complete:

a) 1 13 3+ =

23 b) 1 2

5 5+ =

35 c) + =1 2

6 6 36 d) + =31

4 4 =44

1

e) 3 27 7+ =

57 f) 3 4

8 8+ =

78 g) 2 2

5 5+ =

45 h) + =3 4

7 7 =77

1

Question 7 │ Subtraction of Fractions

1. Study: 2 thirds – 1 third = 1 third and 3 quarters – 1 quarter = 2 quarters 2. Shade the answer for each diagram sum and then complete each sentence.

a)

b)

3 quarters – 1 quarter = 2 quarters 5 sixths – 2 sixths = 3 sixths

c)

d)

3 fifths – 2 fifths = 1 fifth 8 eighths – 3 eighths = 5 eighths

3. Complete: a) 2 thirds – 1 third = 1 third b) 3 quarters – 1 quarter = 2 quarters

c) 4 fifths – 2 fifths = 2 fifths d) 7 sevenths – 2 sevenths = 5 sevenths

e) 6 sixths – 1 sixths = 5 sixths f) 7 eighths – 4 eighths = 3 eighths 4. Shade the answer for each diagram sum and then complete each sentence.

a)

b)

46 –

26 =

26

44 –

14 =

34

c)

d)

55 –

25 =

35

78 –

48 =

38

+ = + =

–

= – =

– = – =

+ = + =

– = –

=

– = – =



5. Complete:

a) 2 13 3− =

13 b) 3 1

5 5− =

25 c) 3 2

7 7− =

17 d) 3 1

4 4− =

24

e) 4 25 5− =

25 f) 6 2

7 7− =

47 g) 7 4

8 8− =

38 h) − =5 4

6 6 16


a) 1 = 44

b) 1 = 22

c) 1 = 33

d) 1 = 55

e) 1 = 88

7. Complete:

a) 13

1− = 3 13 3− =

23 b) 2

31− =

3 23 3− =

13 c) 3

51− =

5 35 5− =

25

d) 58

1− = 8 58 8− =

38 e) 1

61− =

6 16 6− =

56 f) 6

71− =

7 67 7− =

17

8. Complete each number chain.

a)

1 1 1 17 7 7 75 4 3 2

7 7 7 767

− − − −→ → → →

b)

1 1 14 4 43 2 1

4 4 41

− − −→ → →

c) 1 1 1 15 5 5 54 3 2 1

5 5 5 51

− − − −→ → → → d)

1 1 1 18 8 8 86 5 4 3

8 8 8 878

− − − −→ → → →

Question 8 │ Word Sums

1. One cake is sliced into 5 equal pieces. Jon eats 1 slice and James eats 2 slices. What fraction of the cake:

a) did Jon eat? 15 b) did James eat?

25

c) did they eat together? 15

325 5

+ = d) was not eaten? 25

35

1− =

2. A pizza is sliced into eight equal slices. Theo eats 3 slices, Anna eats 1 slice and Jane eats 2 slices. What fraction of the pizza:

a) did Theo eat? 38 b) did Anna and Jane eat? + =1 2

8 838

c) was eaten altogether? + + =3 1 28 8 8

68 d) was not eaten? − =

868

21

3. Mom pours 14 litre of milk from a one-litre carton of milk. NB:

How much milk is left in the carton?

4. There is 35 kg of flour in a bag which can hold 1kg of flour. NB:

How much flour is needed to fill the bag?

− = 34 14 4 4

= 44

1

= 55

1kg kg

− =5 3 25 5 5

kg kg kg



Question 9 │ Adding three fractions

1. Complete:

a) + + =1 1 13 3 3 =3

31 b) + + =1 1 1

4 4 4 34 c) + + =31 2

7 7 7 67

d) + + =3 4 18 8 8 =8

81 e) + + =1 2 1

6 6 6 46 f) + + =2 2 1

5 5 5 =55

1

2. Ouma needs 14

litre of milk to make one batch of biscuits. How much milk does she

need to make 3 batches of the same biscuits? Milk needed =

3. Sally needs 15

litre of milk to make one batch of muffins. How much milk does she

need to make 4 batches of the same muffins? Milk needed =

4. Lebo needs 13 of a cup sugar to make one jug of lemonade. How much sugar does she

need to make 3 jugs of the same lemonade? Sugar needed = Question 10 │ A Fraction of a Whole Number

1. Study: To halve a number means to divide it by 2. Thus 12 of 12 = 12 ÷ 2 = 6.

2. Complete by doing mental calculations: a) 1

2 of 4 = 2 b) 12 of 8 = 4 c)

12 of 10 = 5 d)

12 of 14 = 7

e) 12 of 20 = 10 f) 1

2 of 24 = 12 g)* 12 of 30 = 15 h)* 1

2 of 36 = 18

3. Study: To calculate 1 third of the number means to divide it by 3. Thus

13 of 12 = 12 ÷ 3 = 4.

4. Complete by doing mental calculations: a) 1

3 of 6 = 2 b) 13 of 12 = 4 c)

13 of 18 = 6 d)

13 of 15 = 5

e) 13 of 21 = 7 f) 1

3 of 27 = 9 g) 13 of 30 = 10 h)* 1

3 of 36 = 12

5. Study: 13 of 12 = 12 ÷ 3 = 4 and

13 of 120 = 120 ÷ 3 = 40

6. Complete by doing mental calculations: a)

14 of 12 = 3 b)

15 of 15 = 3 c)

16 of 42 = 7 d)

18 of 16 = 2

14 of 32 = 8

15 of 35 = 7

17 of 42 = 6

18 of 48 = 6

e) 14 of 120 = 30 f) 1

5 of 150 = 30 g) 16 of 420 = 70 h) 1

8 of 160 = 20

14 of 320 = 80

15 of 350 = 70

17 of 420 = 60

18 of 480 = 60

+ + = 31 1 14 4 4 4

+ + + =1 1 1 1 45 5 5 5 5

+ + = =31 1 13 3 3 3

1



Question 11 │ Shading Fractional Parts

1. Shade the indicated fractional parts of each figure.

a) 1 third b) 12 c) 1 half

13

of 6 = 2 12

of 6 = 3 12

of 8 = 4

Any 2 of the 6 parts Any 3 of the 6 parts Any 4 of the 8 parts

d) 1 quarter e) 13 f) 1

5

14

of 8 = 2 13

of 9 = 3 15

of 10 = 2

Any 2 of the 8 parts Any 3 of the 9 parts Any 2 of the 10 parts

Question 12 │ Word Sums involving Money

1. Complete:

a) Jack earns a quarter of what Sipho earns. Sipho earns R440 per day.

Calculate how much Jack earns per day. Jack earns = 14 of R440 = R110 per day

b) Adam earns a third of what Paul earns. Paul earns R360 per day.

Calculate how much Adam earns per day. Adam earns = 13 of R360 = R120 per day

c) Sally earns R130 per hour. Tshepo earns a half of what Sally earns.

How much does Tshepo earn per hour? Tshepo earns = 12 of R130 = R65 per hour

d)* Tiaan earns a fifth of what Theo earns. Theo earns R650 per day.

Calculate how much Tiaan earns per day. Tiaan earns = 15 of R650 = R130 per day

2. Complete:

a) Junior spends R360 on new jeans and half as much on a new shirt. How much does he spend in total?

Cost of new shirt = 12 of R360 = R180 Junior spends = R360 + R180 = R540

b) Precious spends R550 on groceries and half as much on cleaning supplies. How much does she spend in total?

Cleaning supplies = 12 of R550 = R275 Precious spends = R550 + R275 = R825

c)* Jabu spends R420 on new shoes and one third as much on new socks. How much does he spend in total?

New socks = 13 of R420 = R140 Jabu spends = R420 + R140 = R560



Question 13 │ Sharing with Remainders

1. Complete: Revision exercise

a) 12 ÷ 3 = 4 b) 20 ÷ 5 = 4 c) 24 ÷ 6 = 4

13 ÷ 3 = 4 rem 1 21 ÷ 5 = 4 rem 1 25 ÷ 6 = 4 rem 1

d) 21 ÷ 7 = 3 e) 24 ÷ 8 = 3 f) 42 ÷ 6 = 7

22 ÷ 7 = 3 rem 1 25 ÷ 8 = 3 rem 1 43 ÷ 6 = 7 rem 1

2. Four boys must share seventeen slices of bread equally. Determine how much each boy should get. 17 slices ÷ 4 = 4 slices r 1 slice The remaining slice of bread must also be shared between the four boys:

Each boy must get = 414 slices

3. Five girls must share 11 apples equally. 11 apples ÷ 5 = 2 apples r 1 apple

Determine how much each girl should get.

4. Share 25kg of maize equally amongst 8 workers. 25kg ÷ 8 = 3kg r 1kg

5. 28 chocolate slabs must be shared equally amongst 3 children. 28 chocs ÷ 3 = 9 chocs r 1 choc How much chocolate must each child get?

Question 14 │ Mixed Word Sums

1. 14 of the 120 people at a concert are children, 1

3 are men and the rest are women.

a) The number of children = 14 of 120 = 30

b) The number of men = 13 of 120 = 40

c) The number of women = 120 – 70 = 50 2. Lindsay’s mass is 72 kg. Her younger sister, Janie, weighs one third

as much as Lindsay. What is Janie’s mass? Janie’s mass = 13 of 72kg = 24kg

3. Five workers must share 21 slices of bread equally. 21 slices ÷ 5 = 4 slices r 1 slice

Determine how much each worker should get.

4. Lesedi needs 15

litre of milk to make one batch of cookies. How much milk does she

need to make 3 batches of the same cookies? Milk needed =

Mom pours 35

litre of milk from a one-litre carton of milk. NB: 5.

How much milk is left in the carton?

Each worker must get = 318 kg

Each girl must get = 215 apples

Each child must get = 913 chocolates

70 people

Each worker must get = 415 slices

31 1 15 5 5 5

+ + =

5 3 25 5 5

− =

55

1 =

See pg. 244


Term 4 │ Section 6 │ Division Copyright Reserved ©

TERM 4 Section 6: Division Question 1 │ Speed Exercises

1. Complete: Hint: Check your answers using multiplication.

a) 15 ÷ 3 = 5 b) 30 ÷ 6 = 5 c) 45 ÷ 9 = 5 d) 54 ÷ 6 = 9

12 ÷ 4 = 3

32 ÷ 8 = 4

45 ÷ 5 = 9

54 ÷ 9 = 6

16 ÷ 4 = 4

35 ÷ 5 = 7

48 ÷ 8 = 6

56 ÷ 7 = 8

21 ÷ 7 = 3

36 ÷ 4 = 9

48 ÷ 6 = 8

56 ÷ 8 = 7

24 ÷ 3 = 8

40 ÷ 5 = 8

49 ÷ 7 = 7

72 ÷ 9 = 8

25 ÷ 5 = 5

42 ÷ 7 = 6

50 ÷ 5 = 10

72 ÷ 8 = 9 2. Complete:

a) 10 ÷ 5 = 2 b) 24 ÷ 4 = 6 c) 36 ÷ 4 = 9 d) 48 ÷ 6 = 8

15 ÷ 3 = 5

24 ÷ 6 = 4

36 ÷ 9 = 4

56 ÷ 8 = 7

18 ÷ 6 = 3

24 ÷ 8 = 3

36 ÷ 6 = 6

63 ÷ 7 = 9 Question 2│ Division (2-digit by 1-digit) 1. Complete:

a) 30 ÷ 3 = 10 b) 40 ÷ 4 = 10 c) 60 ÷ 6 = 10 d) 70 ÷ 7 = 10

e) 48 ÷ 4 = 12 f) 28 ÷ 2 = 14 g) 88 ÷ 8 = 11 h) 39 ÷ 3 = 13

2. Complete:

a) 42 ÷ 3 b) 64 ÷ 4 c) 51 ÷ 3 = 17 d) 52 ÷ 4 = 13

and

means

30 ÷ 3 = 10 12 ÷ 3 = 4 42 ÷ 3 = 14

and

means

40 ÷ 4 = 10 24 ÷ 4 = 6 64 ÷ 4 = 16

e)

g)

85 ÷ 5 = 17 72 ÷ 4 = 18

f)

h)

98 ÷ 7 = 14 90 ÷ 6 = 15

3. Complete: 60 ÷ 3 = 20 Think “6T ÷ 3 = 2T”

a) 40 ÷ 2 = 20 b) 60 ÷ 2 = 30 c) 90 ÷ 3 = 30 d) 80 ÷ 2 = 40 40 ÷ 4 = 10 60 ÷ 3 = 20 90 ÷ 9 = 10 80 ÷ 4 = 20

4. Complete:

a) 72 ÷ 3 b) 56 ÷ 2 = 28 c) 84 ÷ 4 = 21 d) 75 ÷ 3 = 25

and

means

60 ÷ 3 = 20 12 ÷ 3 = 4 72 ÷ 3 = 24

e)

h)

92 ÷ 4 = 23 78 ÷ 3 = 26

f)

i)

81 ÷ 3 = 27 87 ÷ 3 = 29

g)

j)

96 ÷ 4 = 24 96 ÷ 3 = 32




1. 42 sweets are shared equally amongst 3 children. How many sweets will each child get? 42 ÷ 3 = 14 sweets.

2. Zuki has 72 watermelons. She wants to pack them into crates with 4 in watermelons each. How many crates does she need? 72 ÷ 4 = 18 crates. 3. Apples must be packed into bags holding 8 apples each. How many bags are needed to pack 96 apples? 96 ÷ 8 = 12 bags. 4. Joshua must run 75 km per week, from Monday to Friday. Calculate how far he must run each day if he plans to run the same distance every day. 75km ÷ 5days = 15km/day

Question 4 │ Division with Remainders

1. If one number doesn’t divide into another an exact number of times, we get a remainder.

Examples: a) 13 ÷ 3 = 4 remainder 1, because (4 × 3) + 1 = 13. or (3 × 4) + 1 = 13

b) 22 ÷ 4 = 5 remainder 2, because (5 × 4) + 2 = 22. or (4 × 5) + 2 = 22.

2. Fill in the missing numbers: *3. Complete by mental calculation:

a) 15 ÷ 5 = 3 because 3 × 5 = 15 a) 13 ÷ 3 = 4 r 1

16 ÷ 5 = 3 r 1 because (3 × 5) + 1 = 16 b) 17 ÷ 5 = 3 r 2

18 ÷ 5 = 3 r 3 because (3 × 5) + 3 = 18 c) 19 ÷ 6 = 3 r 1

b) 20 ÷ 4 = 5 because 5 × 4 = 20 d) 23 ÷ 7 = 3 r 2

21 ÷ 4 = 5 r 1 because (5 × 4) + 1 = 21 e) 25 ÷ 8 = 3 r 1

23 ÷ 4 = 5 r 3 because (5 × 4) + 3 = 23 f) 27 ÷ 4 = 6 r 3

c) 42 ÷ 6 = 7 because 7 × 6 = 42 g) 30 ÷ 9 = 3 r 3

44 ÷ 6 = 7 r 2 because (7 × 6) + 2 = 44 h) 34 ÷ 5 = 6 r 4

46 ÷ 6 = 7 r 4 because (7 × 6) + 4 = 46 i) 44 ÷ 8 = 5 r 4

d) 48 ÷ 8 = 6 because 6 × 8 = 48 j) 51 ÷ 7 = 7 r 2

50 ÷ 8 = 6 r 2 because (6 × 8) + 2 = 50 k) 67 ÷ 8 = 8 r 3

55 ÷ 8 = 6 r 7 because (6 × 8) + 7 = 55 l) 77 ÷ 8 = 9 r 5

4. Complete:

a) 59 ÷ 4 b) 37 ÷ 2 = 18 r 1 c) 50 ÷ 3 = 16 r 2 d) 58 ÷ 4 = 14 r 2

and

means

40 ÷ 4 = 10 19 ÷ 4 = 4 r 3 59 ÷ 4 = 14 r 3

e)

h)

63 ÷ 5 = 12 r 3 85 ÷ 3 = 28 r 1

f)

i)

90 ÷ 8 = 11 r 2 95 ÷ 2 = 47 r 1

g)

j)

99 ÷ 7 = 14 r 1 95 ÷ 4 = 23 r 3

12

20



Question 5 │ Problem Solving (Division with Remainders)

1. There are 68 people attending a party. 8 people can be seated at one table. How many tables are needed to seat all the guests? 68 ÷ 8 = 8 r 4 9 tables are needed.

This means that 8 tables will be “full” and there will be 4 guests at the 9th table. 2. There are 95 people attending a party. 6 people can be seated at one table. How many tables are needed to seat all the guests? 95 ÷ 6 = 15 r 5 16 tables are needed.

This means that 15 tables will be “full” and the 16th table will have 5 guests

3. A car can transport 6 people. How many cars are needed to transport 50 people? 50 ÷ 6 = 8 r 2 9 cars are needed.

This means that 8 cars will be “full” and the 9th car will have 2 passengers.

4. A study cubicle can accommodate 3 students. How many cubicles are needed to accommodate 55 students? 55 ÷ 3 = 18 r 1 19 cubicles are needed. This means that 18 cubicles will be “full” and the 19th cubicle will have 1 student.

Question 6 │ Division (3-digit by 1-digit): Part 1

1. Complete: 200 ÷ 2 = 100 Think “2H ÷ 2 = 1H”

a) 300 ÷ 3 = 100 b) 600 ÷ 6 = 100 c) 700 ÷ 7 = 100 d) 900 ÷ 9 = 100

2. Complete: Example 1 208 ÷ 2 Example 2 315 ÷ 3

200 ÷ 2 = 100 and 8 ÷ 2 = 4 means 208 ÷ 2 = 104

300 ÷ 3 = 100 and 15 ÷ 3 = 5 means 315 ÷ 3 = 105

a) 210 ÷ 2 = 105 b) 306 ÷ 3 = 102 c) 412 ÷ 4 = 103 d) 535 ÷ 5 = 107

e) 618 ÷ 6 = 103 f) 728 ÷ 7 = 104 g) 840 ÷ 8 = 105 h) 936 ÷ 9 = 104


1. Complete: 120 ÷ 4 = 30 Think “12T ÷ 4 = 3T”

a) 120 ÷ 3 = 40 b) 180 ÷ 6 = 30 c) 270 ÷ 9 = 30 d) 420 ÷ 6 = 70

160 ÷ 4 = 40 350 ÷ 7 = 50 320 ÷ 8 = 40 560 ÷ 8 = 70

200 ÷ 5 = 40 480 ÷ 8 = 60 490 ÷ 7 = 70 630 ÷ 7 = 90

2. Complete: Example 1 126 ÷ 2 Example 2 248 ÷ 4 120 ÷ 2 = 60

and 6 ÷ 2 = 3 means 126 ÷ 2 = 63

240 ÷ 4 = 60 and 8 ÷ 4 = 2 means 248 ÷ 4 = 62

a) 128 ÷ 2 = 64 b) 186 ÷ 3 = 62 c) 219 ÷ 3 = 73 d) 244 ÷ 4 = 61

e) 328 ÷ 4 = 82 f) 355 ÷ 5 = 71 g) 486 ÷ 6 = 81 h) 568 ÷ 8 = 71




1. Complete: Example 1 132 ÷ 3 Example 2 272 ÷ 4 120 ÷ 3 = 40

and 12 ÷ 3 = 4 means 132 ÷ 3 = 44

240 ÷ 4 = 60 and 32 ÷ 4 = 8 means 272 ÷ 4 = 68

a) 135 ÷ 3 = 45 b) 136 ÷ 4 = 34 c) 225 ÷ 3 = 75 d) 365 ÷ 5 = 73

e) 268 ÷ 4 = 67 f) 231 ÷ 3 = 77 g) 375 ÷ 5 = 75 h) 264 ÷ 6 = 44

i) 224 ÷ 7 = 32 j) 344 ÷ 8 = 43 k) 378 ÷ 6 = 63 l) 432 ÷ 8 = 54

m) 204 ÷ 6 = 34 n) 384 ÷ 4 = 96 o) 486 ÷ 9 = 54 p) 301 ÷ 7 = 43

Question 9 │ Division (3-digit by 1-digit) Part 4

1. Complete.: Example 1 420 ÷ 3 Example 2 560 ÷ 4 300 ÷ 3 = 100

and 120 ÷ 3 = 40 means 420 ÷ 3 = 140

400 ÷ 4 = 100 and 160 ÷ 4 = 40 means 560 ÷ 4 = 140

a) 320 ÷ 2 = 160 b) 450 ÷ 3 = 150 c) 720 ÷ 6 = 120

d) 650 ÷ 5 = 130 e) 840 ÷ 7 = 120 f) 520 ÷ 4 = 130 2. Complete.

Example 1 459 ÷ 3 Example 2 528 ÷ 4

300 ÷ 3 = 100 and 150 ÷ 3 = 50 and 9 ÷ 3 = 3 means 459 ÷ 3 = 153

400 ÷ 4 = 100 and 120 ÷ 4 = 30 and 8 ÷ 4 = 2 means 528 ÷ 4 = 132

a) 324 ÷ 2 = 162 b) 429 ÷ 3 = 143 c) 726 ÷ 6 = 121

d) 755 ÷ 5 = 151 e) 968 ÷ 8 = 121 f) 568 ÷ 4 = 142

Question 10 │ Division with Remainders

1. Complete:

a) 139 ÷ 2 = 69 r 1 b) 188 ÷ 3 = 62 r 2 c) 220 ÷ 3 = 73 r 1

d) 246 ÷ 4 = 61 r 2 e) 290 ÷ 7 = 41 r 3 f) 573 ÷ 8 = 71 r 5

2. Complete: More challenging questions.

a) 325 ÷ 2 = 162 r 1 b) 139 ÷ 4 = 34 r 3 c) 452 ÷ 3 = 150 r 2

d) 226 ÷ 7 = 32 r 2 e) 208 ÷ 6 = 34 r 4 f) 305 ÷ 7 = 43 r 4



Question 11 │ Speed (Rate)

1. Study: Speed tells us the time it will take to travel a certain distance.

If 240 km is covered in 2 hours, it means that the speed travelled is 120 km per ONE hour.

* We assume a constant speed.

2. True or False? It means that it will take ONE hour to cover 120km. Travelling at a speed of 120km/hour means that it takes 120 hours to cover 1km. False

3. Calculate the speed of each of the following, in km/h.

a) 200 km travelled in 2h 200km ÷ 2h = 100 km/h

b) 400 km travelled in 4h 400km ÷ 4h

= 100 km/h

c) 300 km travelled in 2h 300km ÷ 2h

= 150 km/h

d) 240 km travelled in 3h 240km ÷ 3h

= 80 km/h

e) 455 km travelled in 5h 455km ÷ 5h

= 91 km/h

*f) 854 km travelled in 7h 854km ÷ 7h

= 122 km/h

4. Which is faster? a) 240km travelled in 4 hours or 120 km travelled in 3 hours.

= 240 km ÷ 4 hours = 120 km ÷ 3 hours = 60 km/h = 40 km/h

Answer: 240km travelled in 4 hours is faster b) 320km travelled in 4 hours or 420km travelled in 7 hours. = 320km ÷ 4h = 80 km/h = 420km ÷ 7h = 60 km/h Faster

c) 315 km travelled in 3 hours or 244 km travelled in 2 hours. = 315km ÷ 3h = 105 km/h = 244km ÷ 2h = 122 km/h Faster


1. Three soccer balls cost R450,00 altogether. Calculate the cost per soccer ball. R450 ÷ 3 balls = R150/ ball

2. 240 chairs must be placed in 8 rows of equal length. How many chairs must be placed per row? 240 chairs ÷ 8 rows = 30 chairs per row

3. The mass of 9 boxes is 360 kg. Calculate the mass per box. 360kg ÷ 9 boxes = 40kg/box 4. Three t-shirts cost R267,00. Thabo says that one t-shirt costs R98. Is he correct? No. R267 ÷ 3 = R89/ t-shirt

5. Apples must be packed into bags holding 8 apples each. How many bags are needed to pack 344 apples? 344 ÷ 8 = 43 bags 6. Joshua must cycle 325 km per week, from Monday to Friday. How far must he cycle each day if he plans to cycle the same distance every day? 325km ÷ 5days = 65km/day

This is calculated as follows: 240km ÷ 2hours = 120 km/h


Term 4 │ For more assessments, visit www.playmaths.co.za Copyright Reserved ©

TERM 4 Assessment 1

1. Circle the letter of the correct answer.

1.1 The smallest 4-digit odd number is: A 1023 B 1111 C 1001 D 1243

1.2 400 ÷ ………. = 80 80 × 5 = 400

A 50 B 20 C 10 D 5

1.3 500 g = ………… kg A 5 kg B 0,5 kg C 50kg D 50000 kg

1.4 There are 115 people attending a party. 6 people can be seated at one table. How many tables are needed to seat all the guests? 115 ÷ 6 = 19 r 1 20 tables are needed.

A 20 B 19 C 18 D 17

1.5 3 15 5+ = ? A

410 B 1 fifth C 1 whole

D 45

2. Complete: a) 3 000 – 1 974

= 1 026 b) 476 ÷ 7

= 68 c) 1 1 1

3 3 3+ + =

33

1/ d) 4

71− =

37

3. Complete: 3D Object Name Number of Faces Shape of Faces

a)

cylinder 3

2 circles 1 rectangle

b) rectangular

prism 6

2 squares 4 rectangles

4. True or False? a) A cube has 8 identical square faces. False – only 6. b) 1kg of sand is heavier than 1kg of feathers. False (both weigh 1kg)

c) The numerator tells us how into many equal parts a whole has been divided into. False - the denominator does.

5. Complete: Mark14 ,

12 ,

34 and

58 on the number line: 1 2

4 8= and 3 6

4 8=

| | | | | | | | |

0 14 1

2 58 3

4 1

6. Sam cut 14 kg of butter for herself and 135g for Suzy from a 1kg block of butter.

a) How much butter did she cut altogether? 250g + 135g = 385g 14 kg = 250g butter

b) How much butter was left in the block? 1000g – 385g = 615g 7. Promise bought 4kg of steak for R416. Beauty bought 5kg of steak for R530. Who made the “better buy”, Promise or Beauty? Promise made the “better buy”.

Promise: R416 ÷ 4kg = R104/kg Beauty: R530 ÷ 5kg = R106/kg

8. Shade 1 quarter of the figure: 14

of 8 = 2 Any 2 of the 8 parts


Term 4 │ Section 7 │ Perimeter, Area and Volume Copyright Reserved ©

TERM 4 Section 7: Perimeter, Area and Volume Question 1 │ Perimeter

1. Study: Perimeter is the total distance around the outside of a shape. To work out the perimeter of a shape, you must add the lengths of all of the sides. The perimeter of this shape = 5cm + 2cm + 4cm + 3cm = 14cm 2. Complete the sentence: Perimeter is the total distance around the outside of a shape. 3. Which sentence below is true? Sentence b is true.

a) Perimeter is the amount of space covered by a shape. False

b) Perimeter is the total distance around the outside of shape. True

c) To work out the perimeter of a shape, you only need to add the lengths of some of the sides. False ALL of the sides must be added.

Question 2 │ Perimeter of a Triangle

1. Study: To work out the perimeter of a triangle, add the lengths of all of the sides. Examples: The perimeter of triangle B The perimeter of triangle A = 3cm + 4cm + 5cm = 3cm + 3cm + 3cm = 12cm = 9cm

2. Calculate the perimeter of each of the following triangles. Remember to include the unit (cm) in each answer.

a) P =2 + 2 + 3 = 7cm b) P =3 + 4 + 5 = 12cm c) P =3 + 3 + 1 =7cm d) P =2 + 5 + 6 =13cm

3cm 3cm

3cm

A B 3cm

4cm

5cm

2cm 2cm

3cm 1cm

3cm 3cm

4cm

3cm 5cm

6cm

2cm

5cm

3cm

4cm

2cm

5cm



Question 3 │ Perimeter of a Rectangle

1. Study: Perimeter is the total distance around the outside of a shape. To work out the perimeter of a rectangle, add the lengths of all of the sides. The perimeter of this rectangle = 4cm + 4cm + 2cm + 2cm = 8cm + 4cm = 12cm 2. Calculate the perimeter of each of the following rectangles. Remember to include the unit (cm) in each answer.

a) P =3 + 3 + 2 + 2 = 10cm b) P =4 + 4 + 3 + 3 = 14cm c) P =1 + 1 + 3 + 3 = 8cm d) P =4 + 4 + 2 + 2 = 12cm

Question 4 │ Perimeter of a Square

1. Study: To find the perimeter of a square, you must add the lengths of all of the sides. The perimeter of this square = 3cm + 3cm + 3cm + 3cm = 12cm

2. Calculate the perimeter of each of the following squares. Remember to include the unit (cm) in each answer.

a) P =2 + 2 + 2 + 2 = 8cm b) P =3 + 3 + 3 + 3 = 12cm c) P =1 + 1 + 1 + 1 =4cm d) P =4 + 4 + 4 + 4 =16cm

2cm 2cm

4cm

4cm

Remember: A rectangle has two equal lengths and two equal widths.

2cm 2cm

3cm

3cm

4cm

2cm 2cm

4cm

4cm

4cm

3cm 3cm

1cm

1cm

3cm 3cm

3cm 3cm

3cm

3cm

Remember: A square has four equal sides.

2cm 2cm

2cm

2cm

3cm

3cm

3cm 3cm

1cm

1cm

1cm 1cm

4cm

4cm 4cm

4cm



Question 5 │ Perimeter of Irregular Polygons

1. Study: To find the perimeter of this shape, add the lengths of all of the sides.

The perimeter of this shape = 5cm + 3cm + 4cm + 4cm = 16cm

2. Calculate the perimeter of each of the following shapes.

a) P =6 + 3 + 5 + 2 = 16cm b) P =6 + 3 + 5 + 3 = 17cm c) P =5 + 2 + 2 + 5 + 2 = 16cm

3. The figures below show the shapes of different gardens. Calculate the perimeter of each.

a) P =2 + 3 + 2 + 2 + 4 + 5 = 18m b) P =4 + 4 + 3 + 1 + 1 + 3= 16m c) P =3 + 5 + 4 + 1 + 1 + 4 = 18m

4. Calculate the perimeter of each diagram on the grid. Each square forming the grid has a length of 1cm.

a)

b) c)

d)

e) f)

2cm

5cm

3cm

6cm

3cm

5cm

3cm

6cm

4cm

4cm

3cm

5cm

5cm

2cm

5cm

2cm

2cm

P =12cm P = 16cm P = 14cm

P =14cm

P = 14cm P = 14cm

3m

2m

4m

5m

2m 4m

3m

1m

1m

1m

4m

3m

1m

2m

5m

4m

3m

4m

4cm

4cm

2cm 2cm



Question 6 │ Area

1. Study: Area is the amount of space covered by a shape. You can also think of area as the size of a flat surface.

We measure area by counting the total number of square units ( ) covering a shape. Examples:

a) b) c)

Area of the square Area of the rectangle Area of the irregular shape = 4 square units = 6 square units = 4 square units 2. Find the area of each shape below by counting the square units and then answer the questions that follow. a) A = 9 square units b) A = 6 square units c) A = 6 square units d) A = 5 square units

2.1 Which shape has the biggest area? Shape a

2.2 Which shape has the smallest area? Shape d

2.3 Which two shapes have the same area? Shapes b and c

3. Find the area of each shape below by counting the square units and then answer the questions that follow.

Hint: = ½ square unit therefore + = 1 square unit a) A = 5 square units b) A = 7 square units c) A = 6 square units d) A = 5½ square units

3.1 Which shape has the biggest area? Shape b

3.2 Which shape has the smallest area? Shape a

3.3 How much bigger is shape c) than shape d) ? ½ square unit

4. Draw a rectangle with an area of 8 square units where 1 square unit = . or



Question 7 │ Perimeter and Area

1. Complete each sentence:

a) Area is the amount of space covered by a shape.

b) Perimeter is the total distance around the outside of a shape.

2. Which sentence below is true? Sentence b is true.

a) Area is the total distance around a shape. False

b) Perimeter is the amount of space covered by a shape. False

c) To work out the perimeter of a shape, you must add the lengths of all of the sides. True 3. Calculate the perimeter and area of each diagram on the grid. Each square forming the grid has a length of 1cm and is therefore called a “square centimetre”.

a) P = 14 cm b) P = 14 cm c) P = 12 cm

A = 12 square cm (or cm2)



d) P = 14 cm e) P = 14 cm f) P = 16 cm




4.* Draw a rectangle with a perimeter of 10cm and an area of 6 square centimetres.

The rectangle must be 2cm by 3cm.



Question 8 │ Volume 1. Study: Volume is the space which a 3-D object occupies.

Volume is measured using cubes.

Examples:

Volume of the object Volume of the object Volume of the object = 4 cubes = 6 cubes = 4 cubes

2. Write down the volume of each object by counting the cubes.

a) V = 5 cubes b) V = 7 cubes c) V = 5 cubes d) V = 7 cubes

3. Study the examples:

Volume Volume Volume Volume = 4 cubes = 8 cubes = 12 cubes = 16 cubes [4 × 1 row] [4 × 2 rows] [4 × 3 rows] [4 × 4 rows]

4. Write down the volume of each object by counting the cubes.

a) V = 8 cubes b) V = 12 cubes c) V = 12 cubes d) V = 18 cubes


Term 4 │ Section 8 │ Position / Location Copyright Reserved ©

TERM 4 Section 8: Position / Location Question 1 │ Co-ordinates of Objects on a Grid

1. Study: Co-ordinates tell us exactly where a point or object is on a grid or map. We use letters and numbers to identify each specific square (cell).

NB: Always write the horizontal reference first and then the vertical reference.

2. Complete: 3 a) The is in cell A3

Ver

tica

l 2 b) The is in cell C2

1 c) The is in cell A1

A B C D E F d) The is in cell D3

Horizontal e) The is in cell F2

3. Use the grid to answer the questions below.

5 4 × 3 2 1 A B C D E F G H I J

3.1 In which cell is the: 3.2 Name the object which is in cell:

a) telephone? C5 a) A1 Unhappy face b) sun? E4 b) D3 Hand

c) envelope? F2 c) G3 Snowflake

d) clock? J5 d) E1 Candle

e) flower? H1 e) J3 Arrow 3.3 Complete: a) Draw a happy face in C2. b) Draw an “X” in H4.

3.4 True or False?

a) We write the vertical reference first and then the horizontal reference when giving the co-ordinates of a point or place. False - horizontal reference first. b) In the grid above, the co-ordinates of the flag are 5F. False – we must write F5.

c) In the grid above, the co-ordinates of the are B4. True.


Term 4 │ Section 8 │ Position / Location Copyright Reserved ©

Question 2 │ Co-ordinates of Places on a Map

1. This is a map of the provinces in South Africa. Use the map to answer the questions below.

1.1 In which cell is: a) Polokwane? H5 b) Cape Town? C1

c) Bisho? G2 d) Sun City? G5

1.2 Which place(s) are in each of these cells?

a) I3 Durban b) F1 Port Elizabeth Addo National Park

c) H3 Drakensberg

1.3 Which place is on the border of these 2 cells?

a) D3 and D4 Upington b) F3 and G3 Bloemfontein

1.4 If you go for a swim in C1, which ocean will you be swimming in? The Atlantic Ocean

1.5 Kimberley can be found on the border of cell F3 and cell F4 .

6

5

4

3

2

1

A B C D E F G H I J


Term 4 │ Section 9 │ Transformations Copyright Reserved ©

TERM 4 Section 9: Transformations Question 1 │ Composite Shapes 1. Write down which “basic” shapes make up each of the composite shapes below.

a) b) c)

1 rectangle 2 rectangles 1 rectangle

4 triangles 2 triangles 2 triangles

d) e) f)

1 square 2 rectangles 1 rectangle

4 triangles 4 triangles 2 triangles

2. Use the “basic” shapes from each composite shape to draw your own composite shape.

Answers will vary: only one possible answer is given in each.

3.* Choose the correct shape from the block to make each sentence true.

a) 2 Shapes:

b) 3

c) 1

a) b) a) b)

2

1

3



4.** Draw lines to show how to “fill up” each hexagon with the given shapes below it.

a) b) c) d)

Answers may vary: for b) , c) and d) shapes may be placed in different positions within each hexagon. Question 2 │ Tangrams 1. Study: A Tangram is an ancient Chinese geometric puzzle where a square is cut into seven pieces that can be arranged to create different figures. 2. Write down the correct name for each Tangram below. A B C D E

Rabbit Fish Chair Cat Person 3.* The first part of a dog has been drawn in the block below. Draw the shapes from the Tangram that have not yet been used to complete the picture. Answers may vary. Hint: the dog is facing towards the right

Fish Cat Person Chair Rabbit



Question 3 │ Tesselations: Part 1 1. Study: To tessellate means to cover a flat surface, using one or more 2-D shapes repeatedly, leaving no gaps or spaces. Example: In the examples above, only one shape has been used in each to make the tessellation.

2. Select the correct word in each sentence.

a) To tessellate means to cover a flat / curved surface. Flat

b) When tessellating, 2D shapes / 3D objects are used. 2D shapes

3. True or False? When tessellating gaps can be left between the shapes. False 4. Name the repeated shape or figure in each tessellation below.

a)

b)

c)

Puzzle piece Birds Hexagon

5. Draw your own coloured tessellation using a . (At least 8 crosses must be used) Answers may vary. 6. Draw your own coloured tessellation using a . (At least 8 arrows must be used) Answers may vary.



Question 4 │ Tesselations: Part 2 1. Study: A tessellation can consist of more than one repeating 2D shape.

This tessellation consists of hexagons and squares. 2. Name the repeated shapes in each tessellation below.

a)

b)

Squares and Triangles Hexagons and Squares.

c)

d)

Hexagons, Squares and Triangles Triangles and Squares.

3. True or False? a) When tessellating, gaps can be left between the shapes. False

b) A tessellation can only be made by using one kind of 2-D shape. False

4. Draw your own tessellation using squares and triangles.

HINT: No gaps may be left between the shapes. There should be a pattern to the tessellation. Answers will vary.



Question 5 │ Tesselations in Real Life 1. Study the figure below and then answer the questions.

a) This is an example of which real life tessellation?

A beehive/ honeycomb

b) Name the shape used in the tessellation?

Hexagon

2. Study the figure below and then answer the questions.

a) This is an example of what real life tessellation?

Floor tiles

b) Name the shapes used in the tessellation?

1. Hexagon (in the middle)

2. Square

3. Triangle

3. Where would you find tessellations in everyday life? (Answers will vary)

1. Beehive

2. Decorative floor tiles or Paving

3. Decorative wall tiles

4. Draw two of your own tessellations using any two shapes.

Answers will vary. Learners need to repeat the shapes over and over again to cover the

space that they are working with. (No spaces may be left)

There should be a pattern to the tessellation.

More: Leopard fur, plant cells, dragon-fly wings, snake skins, pineapples, fish scales, sun-flowers, soccer balls, orange sections and sneaker soles.


Term 4 │ Section 10 │ Geometric Patterns Copyright Reserved ©

TERM 4 Section 10: Geometric Patterns Question 1 │ Describing “Repeating” Patterns

1. Study: A geometric pattern is a sequence of 2-D shapes or 3-D objects.

Examples: a)

Two squares followed by a circle. The pattern has been repeated 3 times. b)

A cone followed by two cubes. The pattern has been repeated twice.

2. Describe each pattern in words.

a)

The pattern is an arrow followed by a square followed by a circle. The pattern has been repeated 4 times.

b)

The pattern is 2 triangles, followed by a hexagon. The pattern has been repeated 3 times.

c)

The pattern is an arrow ( ), followed by a sun and then another arrow ( ). The pattern has been repeated 4 times.

d)

The pattern is an arrow ( ), followed by a square, a triangle and then another arrow ( ). The pattern has been repeated 3 times.

Question 2 │ Drawing and Describing “Repeating” Patterns: Part 1

1. Describe each pattern in words and then draw it one more time.

a)

The pattern is a triangle followed by two circles.

b)

The pattern is two triangles followed by one square.



c) The pattern is a rectangle, followed by a circle and then by a rectangle.

d)

The pattern is a triangle ( ), followed by a cylinder and then by a triangle ( ).

e) The pattern is an arrow ( ), followed by 2 triangles and then by an arrow ( ).

f) The pattern is of this shape: which is facing “up”, “down” and then “right”.

g)*

The pattern is of this shape: which is facing “left”, “up” and then “right”.

Question 3 │ Drawing and Describing “Repeating” Patterns: Part 2

1. Describe each pattern in words and then draw the next 2 diagrams in each.

a)

The pattern is a triangle followed by a circle and then a square.

b)

The pattern is a cube followed by a triangle and then a rectangle.

c)

The pattern is a rectangle, followed by two circles.

d)

The pattern is a triangle ( ), followed by a pentagon and then another triangle ( ).

e)*

The pattern is of this shape: which is facing “up”, “right”, “down” and then “left”.



Question 4 │ “Growing” Patterns with a Constant Difference of 1

1. Study: A “constant difference” means that the same number of shapes/objects are added to each new diagram in a pattern. For these questions, the constant difference is 1.

“No.” is short for “number”.

2. Draw the 4th diagram in the pattern and then complete the table and the rule.



5. Draw the 5th diagram in the pattern.

a) How does this pattern differ from the pattern in question 4? Each diagram has 1 circle more. b) Complete the table and the rule:

6. Study the pattern below and then complete the rule and the table.

Diagram number 1 2 3 4 9 12

No. of squares 1 2 3 4 9 12


No. of triangles 1 2 3 5 7 15


No. of circles 1 2 3 4 5 12


No. of circles 2 3 4 5 6 13

Figure number 1 2 3 4 9 11

No. of bricks 2 3 4 5 10 12

Rule: No. of squares = Diagram number

Rule: No. of triangles = Diagram number

Rule: No. of circles = Diagram number

Rule: No. of circles = Diagram number + 1

Rule: No. of bricks = Figure number + 1




1. Draw the 4th diagram in the circle pattern.

a) How many circles are added from diagram to diagram? 2 circles

b) Complete the table and the rule:

Rule: No. of circles = 2 × Diagram number

We are working with multiples of 2. Therefore the rule is ×2

2. Draw the 4th diagram in the circle pattern.


b) How does this pattern differ from the pattern in question 1? Each diagram has 1 circle less.

c) Complete the table and the rule:

Rule: No. of circles = 2 × Diagram number – 1

3. Draw the missing 3rd diagram in the circle pattern.


b) How does this pattern differ from the pattern in question 1? Each diagram has 1 circle more.


Rule: No. of circles = 2 × Diagram number + 1

When there is a constant difference of 2, the first part of the rule is to multiply each “input” by 2 and then add or subtract a number, to get to the correct “output”.


No. of circles 2 4 6 8 12 20


No. of circles 1 3 5 7 11 19


No. of circles 3 5 7 9 15 23

multiples of 2

multiples of 2 minus 1

multiples of 2 plus 1




1. Draw the 3rd diagram in the pattern.

a) How many squares are added from diagram to diagram? 3 squares


Rule: No. of squares = 3 × Diagram number

2. Draw the 3rd diagram in the pattern.

a) How many squares are added from diagram to diagram? 3 squares

c) How does this pattern differ from the pattern in question 1? Each diagram has 2 squares more.


Rule: No. of squares = 3 × Diagram number + 2

3.* Draw the 3rd diagram in the pattern.

a) How many crosses are added from diagram to diagram? 3 crosses


Rule: No. of crosses = 3 × Diagram number – 2

When there is a constant difference of 3, the first part of the rule is to multiply each “input” by 3 and then add or subtract a number, to get to the correct “output”.


No. of squares 3 6 9 12 18 30


No. of squares 5 8 11 14 20 32

× × × × × × × × × × × × × × × × × × × × × ×


No. of crosses 1 4 7 10 16 28

multiples of 3

multiples of 3 plus 2

+3 ×’s

multiples of 3 minus 2



Question 7 │ Patterns involving Matches

1. Matches are used to make the pattern below.

a) Draw the next diagram.

b) How many matches are added from diagram to diagram? 3 matches (not 4)


Rule: No. of matches = 3 × Number of squares + 1

2. Matches are used to make the pattern below. a) Draw the next diagram.

b) How many matches are added from diagram to diagram? 2 matches (not 3)


Rule: No. of matches = 2 × Number of triangles + 1

3.* Matches are used to make the pattern below.

a) Draw the missing 3rd diagram. b) Complete the table and the rule:

Rule: No. of matches = 4 × Diagram number

Number of squares 1 2 3 4 6 10

Number of matches 4 7 10 13 19 31

Number of triangles 1 2 3 4 6 10




multiples of 4



Question 8 │ Patterns involving 3-D Objects

1. Study the patterns below and then complete each rule and table.

a) b) c) Question 9 │ Square Numbers

1. Study: Square Numbers 1×1 2×2 3×3 4×4 5×5 6×6

2. Draw the next diagram in the diagram pattern and then complete the table and the rule.

*There is NOT a constant difference between the number of dots.

Figure number 1 2 3 4 9 12

Number of bricks 2 3 4 5 10 13

Figure number 1 2 3 4 9 10 12

Number of bricks 2 4 6 8 18 20 24

Figure number 1 2 3 4 7 10 12

Number of bricks 1 3 5 7 13 19 23

Diagram number 1 2 3 4 5 6 7 8 9 10

Number of dots 1 4 9 16 25 36 49 64 81 100

Rule: No. of dots = Diagram number × Diagram number

Rule: No. of bricks = Figure number + 1

Rule: No. of bricks = 2 × Figure number

Rule: No. of bricks = 2 × Figure number – 1



TERM 4 Section 11: Addition and Subtraction

Question 1 │ Mental Maths

1. Complete the table: 2. Complete the table: Add 50 5T Add 500 5H Subtract 80 8T Subtract 800 8H

a) 125 (12T + 5T) 175 (1H + 5H) 625 a) 1895 (189T – 8T) 1815 (18H – 8H) 1095

b) 374 (37T + 5T) 424 (3H + 5H) 874 b) 1783 (178T – 8T) 1703 (17H – 8H) 983 c) 682 (68T + 5T) 732 (6H + 5H) 1175 c) 2376 (237T – 8T) 2296 (23H – 8H) 1576 d) 958 (95T + 5T) 1008 (9H + 5H) 1458 d) 4117 (411T – 8T) 4037 (41H – 8H) 3317

Question 2 │ “More than” and “Less than”

1. What number is: 2. What number is: a) 10 more than 78? 78 + 10 = 88 a) 5 less than 72? 72 – 5 = 67

b) 60 more than 85? 85 + 60 = 145 b) 90 less than 365? 365 – 90 = 275

c) 60 more than 978? 978 + 60 = 1038 c) 80 less than 1023? 1023 – 80 = 943

d) 500 more than 923? 923 + 500 = 1423 d) 400 less than 4285? 4285 – 400 = 3885 3. Complete: 4. Complete:

a) 20 is 5 more than 15. 20 – 15 = 5 a) 80 is 20 less than 100. 100 – 80 = 20

b) 86 is 52 more than 34. 86 – 34 = 52 b) 45 is 55 less than 100. 100 – 45 = 55

c) 132 is 62 more than 70. 132 – 70 = 62 c) 857 is 100 less than 957. 957 – 857 = 100

d) 1296 is 309 more than 987. 1296 – 987 = 309 d) 400 is 875 less than 1275. 1275 – 400 = 875

Question 3 │ “Breaking-down” method

1. Complete using the breaking-down method.

a) 5856 + 3945 Th H T U b) 8739 – 5685 Th H T U c) 4327 + 3283 = 7610

6 + 5 = 11 9 – 5 = 4 d) 7563 – 2127 = 5436

50 + 40 = 1 90 130 – 80 = 50 e) 5987 + 3486 = 9473

800 + 900 = 1700 600 700 – 600 = 0 f) 5182 – 3237 = 1945

5000 + 3000 = 8000 8000 – 5000 = 3000 g) 5749 + 2857 = 8606

5856 + 3945 = 9801 8739 – 5685 = 3054 h) 7800 – 2598 = 5202

For question 3, “more than” does NOT mean that we add.



Question 4 │ “Vertical-column” method

1. Complete:

Example 1

1 1

Example 2

1 1 1 a) 4257 + 1638 = 5895

5657 2476 b) 4496 + 2324 = 6820

+ 3293 + 5827 c) 5387 + 2536 = 7923

8950 8303 d) 5698 + 3827 = 9525

2. Complete:

Example 1

5 15

Example 2

8 14 6 16 a) 4951 – 1632 = 3319

5 6 5 7 9 4 7 6 b) 7956 – 3665 = 4291

– 3 2 7 3 – 5 8 2 7 c) 5384 – 2436 = 2948

2 3 8 4 3 6 4 9 d) 8596 – 3728 = 4868

Question 5 │ Subtraction involving Zeros

1. Complete:

Example

8 9 9 10 a) 4750 – 1632 b) 7900 – 2533 9 0 0 0 = 3118 = 5367

– 4 8 2 7 c) 4000 – 2476 d) 7000– 3665

4 1 7 3 = 1524 = 3335


1. A bus travelled 1287 km, 2319 km and 2781 km during 3 consecutive weeks. Week 1 Week 2 Week 3

a) Calculate the total distance travelled by the bus during week 2 and week 3. 2319km + 2781km = 5100 km

b) How much further did the bus travel during week 2 than week 1? 2319 km – 1287 km = 1032 km

2. A farmer sold 1565 of his 3500 sheep. How many sheep does he have left? 3500 – 1565 = 1935 sheep 3.* During 2012, 2013 and 2014 one thousand three hundred and eight, one thousand four hundred and sixty-three and one thousand four hundred and ninety-two pupils attended a Pretoria school. Calculate the total number of pupils that attended the school during the three years. 1308 + 1463 + 1492 = 4263

Question 7 │ Inverse Operations

1.* Use inverse operations to calculate the missing numbers in each. Use vertical-column method

a) 1258 + 3584 = 4842

[4842 – 3584 = 1258] b) 7419 – 2707 = 4712

[7419 – 4712 = 2707] c) 1879 + 4375 = 6254

[6254 – 1879 = 4375] d) 8978 – 2357 = 6621

[6621 + 2357 = 8978] e) 1745 + 2665 = 4410

[4410 – 1745 = 2665] **f) 8745 – 863 = 7882

[8745 – 7882= 863]


Term 4 │ Section 12 │ Probability Copyright Reserved ©

TERM 4 Section 12: Probability Question 1 │ Certain and Impossible Events

1. Study: In real life there are some things or events which we are certain about. For example, we know that the sun will rise in the morning. On the other hand, other things are totally impossible. For example, it impossible for cows to fly.

2. Which of the following events are certain to happen and which are impossible?

a) The sun will set today. Certain

b) You will have 2 birthdays in 2018. Impossible

c) A rock dropped into water will sink. Certain

d) You will breath underwater. Impossible

e) You will get older each year. Certain

f) The day after Monday will be Tuesday. Certain

g) You will roll a 7 on a dice. Impossible (only 1 , 2 , 3 , 4 , 5 or 6 can be rolled)

h) Your dog will fly over the fence. Impossible

Question 2 │ Likely and Unlikely Events

1. Study:

Some events are not certainties however we know that it is likely that they will occur.

For example, it is likely that you will pick a star from the jar.

Other events are not impossibilities, however we know that it is unlikely that they will occur.

For example, it is unlikely that you will pick a heart from the jar. 2. Complete each sentence by filling in “certain” , “likely”, “unlikely” or “impossible”. a) b) c) d) e)

It is likely to choose a square.

It is unlikely to choose a triangle.

It is certain to choose a star.

It is impossible to choose a heart.

It is likely to choose a circle.


Term 4 │ Section 12 │ Probability Copyright Reserved ©

3. There are 4 blue discs, 10 green discs and 1 red disc in a bag. If I take one disc out at a time and then put it back afterwards,

a) which colour disc will I be most likely to take out? Green

b) which colour disc will I be least likely to take out? Red

c) what is the chance of taking out a yellow disc? Zero chance/ Impossible.

Question 3 │ Rolling Dice

1. When rolling a normal six-sided die the possible outcomes are to throw a:

1 , 2 , 3 , 4 , 5 or 6. 2. Which outcomes are possible when you roll a normal six-sided die?

a) You roll a 6. Possible

b) You roll a 8. Impossible

c) You roll an even number. Possible

d) You roll a 0. Impossible

e) You roll an odd number. Possible

f) You roll a 4. Possible

Question 4 │ Tossing a Coin

1. Study:

a) Examine a R2 coin. Heads Tails

The side with the springbok on it, is called Heads (H) and the other side with the South African Coat of Arms on it, is called Tails (T).

b) When we toss a coin, we know for certain that we will get either Heads or Tails. We say that the outcome is either Heads or Tails.

c) The number of times an outcome happens is called its frequency.

2. Toss a coin 100 times. Do you think you will get more heads or tails? Record the outcomes in the table by making tally marks.

Outcome Tally marks Frequency

Heads

Tails

3. Study: After 100 tosses you may get a few more Heads or a few more Tails, but we say that both outcomes are equally likely. This means that the chance of getting Heads or Tails when tossing a coin is the same. We can also say that there is a 50-50 chance of getting Heads or Tails.


Term 4 │ For more assessments, visit www.playmaths.co.za Copyright Reserved ©

TERM 4 Assessment 2 1. Circle the letter of the correct answer.

1.1 The perimeter of the rectangle is… A 5cm B 10m C 10cm D 6cm

1.2 5000 is ………. more than 2750. 5000 – 2750 = 2250 A 7750 B 1750 C 2350 D 2250

1.3 The amount of space a shape covers is called its ……………. A Perimeter B Area C Volume D Mass

1.4 It is …………… that it will rain for 3 weeks in a row. A unlikely B impossible C certain D likely

2. Draw the 3rd diagram in the pattern and then complete the table.

3. Calculate the perimeter and area of the diagram on the grid. Each square forming the grid has a length of 1cm.

4. True or

False? a) When tessellating, gaps can be left between the shapes. False

b) A tessellation can only be made by using one kind of 2-D shape. False

c) We write the horizontal reference first and then the vertical reference when giving the co-ordinates of a point. True.

5. Complete:

3 a) The is in cell A3

2 b) The is in cell F2

1 c) The is in cell B1

A B C D E F d) The is in cell D3

× × × × × × × × × × × × × × × × × × × × × ×


No. of crosses 1 4 7 10 19 28

2cm 2cm

3cm

3cm

+3 ×’s

No. of crosses = 3 × Diagram number – 2

P = 14 cm A = 10 square centimetres (cm2)

Value and Place Value · 56 tens = 560 56 hundreds = 5600 2. Complete: a) In 7525 there are 7...

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Transcript of Value and Place Value · 56 tens = 560 56 hundreds = 5600 2. Complete: a) In 7525 there are 7...