NON DIGITAL & ADDITIONAL RESOURCES

NON DIGITAL & ADDITIONAL RESOURCES Note: These are not in order, they are laid out in as manner to save paper.

TUESDAY –STEM THURSDAY - DRAMA FRIDAY - LITERACY

This is a News Report written by a Yr 6 student inspired by the ‘Pigeon Impossible’ short story. Use this as inspiration for a different mission for Walter, to be destroyed by the pigeon. Tell your story as a comic strip.

Observe the stills above from the short film called “Teeth”. What happened to change the way the men are facing in the boat? Why is the story called “Teeth”? Write the dialogue between the men.

TUESDAY – WRITING

Blue whale facts Source: Blue whale facts for kids | National Geographic Kids (natgeokids.com) Scientific name: Balaenoptera musculus

Phylum: Chordata

Family: Balaenopteridae

Classification: Mammal

IUCN status: Endangered

Lifespan (in wild): 80-90 years

Weight: More than 130,000kg

Body size: 30m long

Diet: Carnivore

Habitat: Ocean

1) The largest animals to have ever lived on Earth, blue whales can grow to over 30m long and weigh more than 130,000kg – that’s longer than three buses and heavier than three lorries! 2) Pretty much everything about the blue whale is massive. It’s tongue weighs as much as an elephant, its heart is the size of a car and its blood vessels are so wide you could swim through them! 3) These blue-grey giants have a long, stream-lined body, a wide head, huge flippers, a powerful tail and a small dorsal fin. Some individuals have a yellowy-coloured underside, giving rise to the nickname ‘sulphur bottom’ whales. 4) Blue whales can be found in all of our planet’s oceans, except the Arctic, usually swimming alone or in groups of two to four. But in areas where there’s lots of food available, as many as 60 whales may come together. 5) Despite their humongous size, blue whales eat tiny shrimp-like crustaceans called krill. But they shift a fair few of these seafood snacks – up to 40 million each day, in fact! 6) These marine marvels are a species of ‘baleen’ whale. Instead of teeth, they have baleen, a fibrous material used to filter their food. When eating, the whale lets a huge volume of water and krill into its mouth. It then pushes the water through its 300-400 baleen plates, which trap the tasty grub to be swallowed. Gulp! 7) To communicate with each other, blue whales make a series of super-loud vocal sounds. Their calls are the loudest of any creature on the planet, in fact, and can be heard underwater for hundreds of kilometres. 8) These awesome aquatic animals follow a seasonal migration pattern. During the feeding season, they fill up on krill in cold polar waters. They then travel to warmer, tropical waters to mate and give birth. 9) At birth, blue whale calves measure around 8m long and weigh a massive 4,000kg! They grow quickly, too – for seven to eight months, these bulky babies suckle on their mother’s rich, fatty milk, and gain around 90kg each day! 10) Sadly, in the late 19th early 20th century, blue whales were heavily hunted. And despite a global hunting ban in 1966, their population has declined by 70-90 percent in the past 150 years. With only 10,000-25,000 left in the wild, these magnificence marine mammals are today classified as an endangered species.

https://www.natgeokids.com/nz/discover/animals/sea-life/10-blue-whale-facts/

https://www.natgeokids.com/nz/discover/animals/sea-life/10-blue-whale-facts/

WEDNESDAY - GEOGRAPHY

WEEK 1: TUESDAY MATHEMATICS ACTIVITIES

Note: Work to your level.

You are not expected to complete ALL of the set maths activities.

Try to spend at least 45 minutes to an hour on mathematics each day

All answers are included so take the time to mark your work as you go to ensure you are on track.

Choose the Maths Online ones if you are looking for detailed explanations and easier activities.

MathsOnline - Maths Tuition For All Australian K-12 Students

Choose Mathantics if you just need lots of practice. Remember you can go to the website and watch

the videos that match the worksheets if you need extra support with these.

Math Antics | Basic Math Videos and Worksheets

Choose NRich if you are already super confident and need to extend to word problems.

NRICH - Mathematics Resources for Teachers, Parents and Students to Enrich Learning (maths.org)

https://www.mathsonline.com.au/

https://www.mathantics.com/

https://nrich.maths.org/

© 2013 Math Plus Motion, LLC

®

Date:

Name:

Multi-Digit Multiplication, Part 2 • mathantics.com

Multiplying by a 3-Digit Number (with guides)Instructions: Multiply these numbers.

56

7 3

0 1

1 6

5 21,

34

2 0

6 3

3 2

4 5

3

2 7

8 7

2

5 4

3 9

×

× ×

× ×

+

+ +

+ +

Example

1 2

3 4

6000

0 0

0 0

0 0

0 0

0 0

0 0

112

1

11 031

991

92 6

52

162

082

Because we have 3 answers, there are 3 sets of carried digits.

Remember, our third answer line needs two zeros so that it’s 100 times bigger.

MM2 3


®

Date:

Name:


Multi-Digit Multiplication PracticeInstructions: Multiply these numbers.

4

5

3

8

9

31

2

1

7

4

4

9

8

2

7

6

8

5

3

6

5

3

1

4

×

×

×

×

×

×

1

4

2

5 6

3

0 1 76 5 32 7 5

5 4 16 2 4× × ×

987

MM2 4

44160 4

911,

21

1

0+


®

Date:

Name:

Long Division with 2-Digit Divisors • mathantics.com

2-Digit Divisor Practice (Set 2)Instructions: Divide. Follow the procedure you learned from the video. Remember, it’s helpful to use estimating and some trial-and-error to figure out each division step.

4 1

2 1

91

, ,

,,

4 5

5 9

18

0 2

43

6 3

3 8

41

14 21

25 32

2113

-

-

4

40

84

6

56

8

1 2

43

65

2DD 3


®

Date:

Name:


Really Long 2-Digit Divisor Practice (Set 1)Instructions: Divide. Follow the procedure you learned from the video. Remember, it’s helpful to use estimating and some trial-and-error to figure out each division step.

0

23

1 ,

,,

, 3

98

7 2

32

0 25

64

0 9

34

3

12

50 75

23

3 4

21

2DD 4

These problems are adapted from UKMT (ukmt.org.uk) and WMC (competition.ac) problems.

nrich.maths.org/9257

© University of Cambridge

NRICH Short Problems

Factors, Multiples and Primes

Age 11+ Level Worksheet 1

1. Find from Factors

A certain number has exactly eight factors including 1 and itself.

Two of its factors are 21 and 35. What is the number?

2. One Short

A positive whole number less than 100 has remainder 2 when it is

divided by 3, remainder 3 when it is divided by 4 and remainder 4

when it is divided by 5.

What is its remainder when it is divided by 7?

3. Grandma’s Cake

Grandma bakes a cake for her grandchildren who are going to visit

her. She has forgotten whether 3, 5 or all 6 of her grandchildren will

visit.

She wants all of the cake to be eaten by her grandchildren and would

like each grandchild to get the same amount of cake.

To prepare for all three possibilities, what is the smallest number of

pieces into which she should cut the cake?

4. Ones, Twos and Threes

Each digit of a positive integer is 1, 2 or 3. Each of these digits occurs

at least twice in the number.

What is the smallest such integer that is not divisible by 2 or 3?

5. Red Card Blue Card

Sally has 5 red cards, numbered 1, 2, 3, 4 and 5, and 4 blue cards,

numbered 3, 4, 5 and 6.

Can you find a way in which Sally can line the cards up so that the

colours alternate, and so that the number on each red card is a factor

of every number next to it?

1 2

2 611

3 1

0 8

4 3

1

1 11 1

1

1 1

4 23 31

2

6 4

2 5

8 52

5 91 01

4 0

8 1

3 0

0 63 3

1 7

3 8

0 4

0 6

0 8

4 3

4 0

4 5

6 4

2 5

5 21

0 02 6

9 9

2 9

5 9

5 5

5 21

3 52 6


®

Date:

Name:


Multiplying by a 3-Digit Number (with guides)Instructions: Multiply these numbers.

56

7 3

0 1

1 6

5 21,

34

2 0

6 3

3 2

4 5

3

2 7

8 7

2

5 4

3 9

×

× ×

× ×

+

+ +

+ +

Example

1 2

3 4

6000

0 0

0 0

0 0

0 0

0 0

0 0

112

1

11 031

991

92 6

52

162

082

Because we have 3 answers, there are 3 sets of carried digits.

Remember, our third answer line needs two zeros so that it’s 100 times bigger.

MM2 3

2

5

8

8

013

1

81

3

1

4

2

1

5

9

45

243

1

2

9

4

2

3

5223

7

9

1

11

92

5

8

8

05

522

433

2

93

1118

7

6

04,

6

+ + +0 0 0

3

,

,,

, ,

2

0 8 4

12 3

1 11

1 13 2 86 0 43 1 10 8 52 5 81 3 13 0 30 8 4

1 9 57 0 05 7 01 3 2 ,

0

0

0

0

0+

+

+

+

+


®

Date:

Name:


Multi-Digit Multiplication PracticeInstructions: Multiply these numbers.

4

5

3

8

9

31

2

1

7

4

4

9

8

2

7

6

8

5

3

6

5

3

1

4

×

×

×

×

×

×

1

4

2

5 6

3

0 1 76 5 32 7 5

5 4 16 2 4× × ×

987

MM2 4

44160 4

911,

21

1

0+

-

-

-

x

x

x

-

-

-

-

-

-

-

-

-

1

5

3

3

9

2

2

1

50

36

7

4

0

0

0

99

8

011

76

11

11

7

7

1

5

90

1

557

1

00

11

33

22

4

5

6

4

0

1

2 1

6 4

4

3

3

1

6

9

1

1

1

12

2

2

3

5

6

9

1

1

2

0

2

7

2 5

0

8


®

Date:

Name:


2-Digit Divisor Practice (Set 2)Instructions: Divide. Follow the procedure you learned from the video. Remember, it’s helpful to use estimating and some trial-and-error to figure out each division step.

4 1

2 1

91

, ,

,,

4 5

5 9

18

0 2

43

6 3

3 8

41

14 21

25 32

2113

-

-

4

40

84

6

56

8

1 2

43

65

2DD 3

-

--

-

--

- -

-

--

-

-

--

1

13

0

35

3

2

4 4 3

2

22

5 5

7

1 1

3

960

00

4242

6464

0

00

0

76

2

6

2

23

01 1

3 75

99

7

7 5

98

3 2

22

02

22

55

0

32

00

2,

46

6

,,

36

00 30 0


®

Date:

Name:


Really Long 2-Digit Divisor Practice (Set 1)Instructions: Divide. Follow the procedure you learned from the video. Remember, it’s helpful to use estimating and some trial-and-error to figure out each division step.

0

23

1 ,

,,

, 3

98

7 2

32

0 25

64

0 9

34

3

12

50 75

23

3 4

21

2DD 4





Factors, Multiples and Primes

Age 11+ Level !!

Worksheet 1 - Solutions

1. Find from Factors

105

nrich.maths.org/4989/solution

2. One Short

The remainder is 3 (59 ÷ 7 = 8 remainder 3)


3. Grandma’s Cake

If we assume that all the pieces are the same size, 30 slices.

Otherwise, 10 slices


4. Ones, Twos and Threes

The smallest integer is 1112233


5. Red Card Blue Card

5 5 1 3 3 6 2 4 4 or its mirror image 4 4 2 6 3 3 1 5 5


WEEK 1: WEDNESDAY MATHEMATICS ACTIVITIES
















®

Date:

Name:

Simplifying Fractions • mathantics.com

Simplifying Fractions - Set 2

1 15 20 = =

3 12 18 = =

13 42 63 = =

11 18 36 = =

5 20 25 = =

15 60 75 = =

7 14 21 = =

17 36 84 = =

9 20 32 = = 10 32

40 = =

2 16 30 = =

12 45 125= =

4 15 45 = =

14 63 105= =

6 2739 = =

16 42 140= =

8 4872 = =

18 33121= =

Instructions: Simplify these fractions using the procedure you learned in the video. Cancel any common factors and remultiply remaining factors to get your final answer.

3x5 2x2x5

34

Fractions

SIM 2


®

Date:

Name:

Dividing Fractions • mathantics.com

Finding the ReciprocalInstructions: Write the reciprocal of each fraction by switching the top and bottom numbers.

Instructions: Multiply each fraction by its reciprocal to get a ‘whole fraction’ which is just 1.

Fractions

3 8

83

reciprocal:1

3 1 5

reciprocal: 4 6 15

reciprocal:

2 8 12

reciprocal:

7 2 7

reciprocal: 8 7 11

reciprocal:

5 3 4

reciprocal: 6 20 35

reciprocal:

9 8 19

reciprocal: 10 12 32

reciprocal:

2 1 5105102

× = =1

3 4 1 7 × = = 4 5 1 3 × = =

2 4 1 5 × = =

7 6 1 8 × = = 8 7 1 9 × = =

5 3 1 7 × = = 6 1 1 11 × = =

9 2 1 9 × = = 10 3 1 12 × = =

DIV 1


®

Date:

Name:


Dividing Fractions (Guided Practice)Instructions: Solve these division problems by multiplying by the reciprocal. Use the guides to help you. You do not need to simplify your answers.

3 43 4

2 5÷

× =

1

3 1 71 7

1 4÷

× =

4 8 138

13

1 2÷

× =

2 5 45 4

2 3÷

× =

7 5 85 8

3 4÷

× =

8 1 121

12

1 12÷

× =

5 3 53 5

1 6÷

× =

6 4 84 8

5 1÷

× =

9 7 97 9

2 3÷

× =

10 1 81 8

3 16÷

× =

11 5 115

11

4 7÷

× =

12 9 109

10

5 6÷

× =

15582

Fractions

DIV 2


®

Date:

Name:


Dividing Fractions (More Practice)Instructions: Solve these division problems by multiplying by the reciprocal. You do not need to simplify your answers.

1 6

3 7÷1

3 5 12

1 4÷ 4 4

115 7÷

2 5 6

3 4÷

5 4 7

2 3÷ 6 9

25 1÷

9 1 16

1 6÷ 10 11

122 3÷

7 6 5

5 3÷ 8 2

77 9÷

11 3 10

7 8÷ 12 10

88 9÷

x = 718

73

16

Fractions

DIV 3


®

Date:

Name:


Dividing a Fraction by a Whole Number (and Vice-Versa)Instructions: Solve these division problems. You do not need to simplify your answers in this exercise set.

4 10 9 2÷ =

2 5 3 8÷ =

7 9 4 7÷ = 8 8 3

4÷ =

10 4 1 10÷ =

2 3 5 ÷ =1

3 3 1 4 ÷ =

5 5 6 7 ÷ = 6 4 1

4 ÷ =

9 2 5 12 ÷ =

÷

x =

3535

2112

310

Fractions

DIV 4





Fractions, Decimals and Percentages


1. Charlie’s Money

Charlie spent 1

4 of his money on a book, and then gave his brother

2

3

of what was left, and still had £9 remaining.

How much money did he start off with?

2. Pride of Place

The fractions 1

3 and

1

5 have been

placed on the number-line

shown. At which position should

the fraction 1

4 be placed?

3. Three Blind Mice

The three blind mice stole a piece of cheese.

In the night, the first mouse ate 1

3 of the cheese.

Later, the second mouse ate 1

3 of the remaining cheese.

Finally, the third mouse ate 1

3 of what was then left of the cheese.

What fraction of the cheese is left?

4. Halfway

What number is halfway between −2

3 and

4

5 ?

5. Magical Products

Put the nine numbers below onto a 3 by 3 grid so that each number

occupies one space, and the product of every row, column and

diagonal is equal to 1.

1 2 3 6 1

6

1

3

1

2

2

3

3

2

2x2x2x2x2 2x2x2x5

45

2x2x5 2x2x2x2x2

58

2x2x2x2 2x3x5

815

3x3x5 5x5x5

925

3x53x3x5

13

3x3x7 5x3x7

35

3x3x33x13

913

2x3x72x2x5x7

310

2x2x2x2x32x2x2x3x3

23

3x1111x11

311

2x2x3 2x3x3

23

2x3x7 3x3x7

23

2x3x3 2x3x2x3

12

2x2x5 5x5

45

2x3x2x5 3x5x5

45

2x7 3x7

23

2x2x3x3 2x2x3x7

37


®

Date:

Name:

Simplifying Fractions • mathantics.com

Simplifying Fractions - Set 2

1 15 20 = =

3 12 18 = =

13 42 63 = =

11 18 36 = =

5 20 25 = =

15 60 75 = =

7 14 21 = =

17 36 84 = =

9 20 32 = = 10 32

40 = =

2 16 30 = =

12 45 125= =

4 15 45 = =

14 63 105= =

6 2739 = =

16 42 140= =

8 4872 = =

18 33121= =

Instructions: Simplify these fractions using the procedure you learned in the video. Cancel any common factors and remultiply remaining factors to get your final answer.

3x5 2x2x5

34

Fractions

SIM 2

51

156

128

72

117

43

3520

198

3212

287284

153155

205204

488486

639637

217213

1111111

189182

3612363


®

Date:

Name:


Finding the ReciprocalInstructions: Write the reciprocal of each fraction by switching the top and bottom numbers.

Instructions: Multiply each fraction by its reciprocal to get a ‘whole fraction’ which is just 1.

Fractions

3 8

83

reciprocal:1

3 1 5

reciprocal: 4 6 15

reciprocal:

2 8 12

reciprocal:

7 2 7

reciprocal: 8 7 11

reciprocal:

5 3 4

reciprocal: 6 20 35

reciprocal:

9 8 19

reciprocal: 10 12 32

reciprocal:

2 1 5105102

× = =1

3 4 1 7 × = = 4 5 1 3 × = =

2 4 1 5 × = =

7 6 1 8 × = = 8 7 1 9 × = =

5 3 1 7 × = = 6 1 1 11 × = =

9 2 1 9 × = = 10 3 1 12 × = =

DIV 1

47

41

1613

21

158

32

2024

43

121

1212 = 1

185

61

440

15

2118

32

1624

163

3544

74

5450

65


®

Date:

Name:


Dividing Fractions (Guided Practice)Instructions: Solve these division problems by multiplying by the reciprocal. Use the guides to help you. You do not need to simplify your answers.

3 43 4

2 5÷

× =

1

3 1 71 7

1 4÷

× =

4 8 138

13

1 2÷

× =

2 5 45 4

2 3÷

× =

7 5 85 8

3 4÷

× =

8 1 121

12

1 12÷

× =

5 3 53 5

1 6÷

× =

6 4 84 8

5 1÷

× =

9 7 97 9

2 3÷

× =

10 1 81 8

3 16÷

× =

11 5 115

11

4 7÷

× =

12 9 109

10

5 6÷

× =

15582

Fractions

DIV 2

512

41

2012=x 4

1175

2855=x

56

43

2018=x

47

32

1214=x 9

215

910=x

116

61

616=x 11

1232

3324=x

65

35

1825=x 2

797

1849=x

310

87

2470=x 10

898

9064=x


®

Date:

Name:


Dividing Fractions (More Practice)Instructions: Solve these division problems by multiplying by the reciprocal. You do not need to simplify your answers.

1 6

3 7÷1

3 5 12

1 4÷ 4 4

115 7÷

2 5 6

3 4÷

5 4 7

2 3÷ 6 9

25 1÷

9 1 16

1 6÷ 10 11

122 3÷

7 6 5

5 3÷ 8 2

77 9÷

11 3 10

7 8÷ 12 10

88 9÷

x = 718

73

16

Fractions

DIV 3

÷

x =

1414

3113

112

÷

x =

6767

5115

635

÷

x =

1414

4114

116

÷

x =

512512

2 112

524

÷

x =

101101

9229

209

÷

x =

5151

3883

403

÷

x =

9191

4774

634

÷

x =

8181

3443

323

÷

x =

4141

110101

40 = 401


®

Date:

Name:


Dividing a Fraction by a Whole Number (and Vice-Versa)Instructions: Solve these division problems. You do not need to simplify your answers in this exercise set.

4 10 9 2÷ =

2 5 3 8÷ =

7 9 4 7÷ = 8 8 3

4÷ =

10 4 1 10÷ =

2 3 5 ÷ =1

3 3 1 4 ÷ =

5 5 6 7 ÷ = 6 4 1

4 ÷ =

9 2 5 12 ÷ =

÷

x =

3535

2112

310

Fractions

DIV 4






Age 11+ Level !!

Worksheet 1

1. Charlie’s Money

He started off with £36


2. Pride of Place


3. Three Blind Mice !!"

of the cheese is left


4. Halfway !!!

is halfway


5. Magical Products


3 16

2

23

1 32

12

6 13

WEEK 1: THURSDAY MATHEMATICS ACTIVITIES
















®

Date:

Name:

Decimal Arithmetic • mathantics.com

Decimal AdditionInstructions: Add these decimals using the procedure you learned in the video. Don’t forget to line up the decimal points when adding.

5

8

2

6

9

3

4

7

1

DA 1

245 + 8.9

0.412 + 0.65

5.8 + 12.4

17.2 + 25.6

33.75 + 9.8

3.2 + 0.5

83.6 + 2.125

0.123 + 45.6

10.9 + 0.12

48

112.8.

5.+

2

1


®

Date:

Name:


Decimal SubtractionInstructions: Subtract these decimals using the procedure you learned in the video. Don’t forget to line up the decimal points when subtracting and remember that order matters in subtraction.

5

8

2

6

9

3

4

7

1

DA 2

8.9 − 5.7

129.8 − 85.4

9.23 − 4.5

50.7 − 42.1

0.745 − 0.561

8.0 − 0.6

81.3 − 6.75

4.925 − 3.8

12 − 1.3

523

04.4.

9.−

73

81


®

Date:

Name:


Decimal MultiplicationInstructions: Multiply these decimals using the procedure you learned in the video. (Remember to pretend that you are working with whole numbers and then shift the decimal in your answer.)

5

8

2

6

9

3

4

7

1

DA 3

316 × 2.8

9.23 × 3.1

3.2 × 5.26 4.5 × 2.4

70.4 × 3.4

62 × 1.8 0.125 × 65

0.25 × 0.11

0.34 × 0.216

62

078

1115

25.

583

3.

6.

×

+202

11

1


®

Date:

Name:


Decimal DivisionInstructions: Divide these decimals using the procedure you learned in the video. Remember, you can shift the decimals in both the divisor and the dividend to make an equivalent division problem that does not have a decimal divisor.

3 4

2

5 6

1

DA 4

111

5

43

50

32

1

6 9-

-

-

1 53.. . 5

6

86

9

2 8

7

47

6

4 5

6

25

5 .

.

.

.

. 2

5

23

6

7 1.1

0.12

1.42.5

8

2.3


®

Date:

Name:


Decimal Arithmetic - Mixed PracticeInstructions: Solve each problem using the procedures you learned in the video.

5

8

2

6

9

3

4

7

1

DA 5

925 + 7.5

0.758 + 62.9

42.5 + 0.63

7.042 − 6.1

28 − 6.3 0.32 × 0.49

2.67 × 5.4 2 12.40.13

8 75.40.5







1. Too Close to Call

Arrange these fractions in order, from smallest to largest:

111110

111111

222221

222223

333331

333334

2. Tricky Fractions

Find 𝑥, where

1

2−

1

4+

1

8−

1

16+ ⋯ −

1

1024=

𝑥

1024

3. Peanut Harvest

My four pet monkeys and I harvested a large pile of peanuts.

Monkey A woke in the night and ate half of them; then Monkey B woke and ate one third of what remained;

then Monkey C woke and ate one quarter of the rest; finally Monkey D ate one fifth of the much diminished remaining pile.

What fraction of the original harvest was left in the morning?

4. Slightly Outnumbered

In Miss Quaffley's class, the girls make up more than 45% of the pupils, but less than 50%.

What is the smallest possible number of girls in her class?

5. How Shady?

The diagram below shows an equilateral triangle with some triangles shaded inside it.

Each shaded triangle is equilateral and touches the sides of the largest triangle and

of the shaded triangles next to it.

What fraction of the largest triangle is

shaded?

6 8 641 5 22

003

5 004 7 13

4 46 5 22 30. 9. 5.1. 3. 5.

0. 3. 0.+ + +

0 5 7

11

9 6 1.0 00

255 2 62 1

28

2 4 89 258. 5. 2.3. 2. 5.

4 7. 3.+ + +

5 8 7

1

1

1

5 102

2 91

1 20. 0.3. 1.

3. 0.+ +

7 0

1


®

Date:

Name:


Decimal AdditionInstructions: Add these decimals using the procedure you learned in the video. Don’t forget to line up the decimal points when adding.

5

8

2

6

9

3

4

7

1

DA 1

245 + 8.9

0.412 + 0.65

5.8 + 12.4

17.2 + 25.6

33.75 + 9.8

3.2 + 0.5

83.6 + 2.125

0.123 + 45.6

10.9 + 0.12

48

112.8.

5.+

2

1

4 5 81 4

651

22 508 0

8 7 9

84 255. 0. 3.4. 0. 1.

9. 0. 4.− − −

44 1 1

61

79

1 705

7 354

8

72 55.8.

2. 6.3. 8. 4.

0. 1.− − −

6 5

41

6 30 01

10. 1.7. 0.

8. 2.− −

4 7

7 11

1207 11

1


®

Date:

Name:


Decimal SubtractionInstructions: Subtract these decimals using the procedure you learned in the video. Don’t forget to line up the decimal points when subtracting and remember that order matters in subtraction.

5

8

2

6

9

3

4

7

1

DA 2

8.9 − 5.7

129.8 − 85.4

9.23 − 4.5

50.7 − 42.1

0.745 − 0.561

8.0 − 0.6

81.3 − 6.75

4.925 − 3.8

12 − 1.3

523

04.4.

9.−

73

81

4

4

8

1

3

61

8

1

1

46

5

5

47

2

5

1

56

3

2

2

21

2

3

2.

3.

1.

0.

0.

2.

3.9.

4.

0.

6

0.

0.

0.

×

×

×

+

+

+

+

+

++

+

×

×

××

×

0

6

6

5

4

58

3

0

0

0

0

0

00

0

0

6

6

5

4

58

3

8

1

9

2

68

262

2

52

9

0

2

2

5

8

02

9

8

3

1

7

4

24

1

1

812

2

4

9

1

6

2

46

573

6

6

722

0

9

1

2

3

18

6

1

32

1

0

7

88

8

0

00

2

1

1

1

1

11

1

1

1

1

4

21

23

111

1

.

.

.

.

.

..

.


®

Date:

Name:


Decimal MultiplicationInstructions: Multiply these decimals using the procedure you learned in the video. (Remember to pretend that you are working with whole numbers and then shift the decimal in your answer.)

5

8

2

6

9

3

4

7

1

DA 3

316 × 2.8

9.23 × 3.1

3.2 × 5.26 4.5 × 2.4

70.4 × 3.4

62 × 1.8 0.125 × 65

0.25 × 0.11

0.34 × 0.216

62

078

1115

25.

583

3.

6.

×

+202

11

1

5

3

7

0

5

6

5

8

7

47

6

3

4

40

6

5

6

5

0

0

0

0

3

8

01

11

11

5

3

8

22

0

5

5

3

7

2

4

22

6

2

8

850

4

-

-

--

-

-

-

--

-

-

-

-

3

7

04

7

5

3

370

2

4

21

8

.

.

..

.

.

.

..

.

.

...


®

Date:

Name:


Decimal DivisionInstructions: Divide these decimals using the procedure you learned in the video. Remember, you can shift the decimals in both the divisor and the dividend to make an equivalent division problem that does not have a decimal divisor.

3 4

2

5 6

1

DA 4

111

5

43

50

32

1

6 9-

-

-

1 53.. . 5

6

86

9

2 8

7

47

6

4 5

6

25

5 .

.

.

.

. 2

5

23

6

7 1.1

0.12

1.42.5

8

2.3

965800

7

6 582.3.

0.+

6

5.059

9 57.2.

2+

3

1233

2

603

54

4 30.3.

2.+

1

1

14200

0

426.0.

7.−

9

302

26.1.

8.−

7

7

6

1

11

1

476

5.2.

+

×808

60151

3311 44

1

1

.

4923

0.0.

+

×808

8286

21510.

52

16

20

32

5

3 9-

-

-

2 43 .. .

25

75

50

33

2

4 5-

-

-

7 59 .. .


®

Date:

Name:


Decimal Arithmetic - Mixed PracticeInstructions: Solve each problem using the procedures you learned in the video.

5

8

2

6

9

3

4

7

1

DA 5

925 + 7.5

0.758 + 62.9

42.5 + 0.63

7.042 − 6.1

28 − 6.3 0.32 × 0.49

2.67 × 5.4 2 12.40.13

8 75.40.5






Age 11+ Level !!!

Worksheet 1

1. Too Close to Call

From smallest to largest:

111110111111

333331333334

222221222223


2. Tricky Fractions

𝑥 = 341 nrich.maths.org/12878/solution

3. Peanut Harvest !! of the original harvest was left


4. Slightly Outnumbered

The smallest possible number of girls is 5 (in a class of 11 pupils) nrich.maths.org/6757/solution

5. How Shady?

!!"!!!

of the largest triangle is shaded


WEEK 1: FRIDAY MATHEMATICS ACTIVITIES
















®

Date:

Name:

Number Patterns • mathantics.com

NP 1Identifying SequencesInstructions: For each sequence below, check one box from each column that describes the correct property of the sequence.

3

2

4

7

5

8

9

6

10

1 { 7, 4, 2, 7, 4, 2, 7, 4, 2,... }

{ 10, 20, 30, 40, 50,... }

{ 17, 16, 15, 14, 13, 12 }

{ 1, 4, 9, 16, 25, 36,... }

{ 5, 10, 5, 10, 5, 10,... }

{ 80, 52, 30, 21, 15, 9 }

{ 7, 1, 0, 5, 7, 1, 0, 5 }

{ 2, 4, 6, 8 }

{ 5, 8, 11, 14, 17, 20,... }

{ 240, 120, 60, 30, 15,... }

Repeating

Repeating

Repeating

Repeating

Repeating

Repeating

Repeating

Repeating

Repeating

Repeating

Increasing

Increasing

Increasing

Increasing

Increasing

Increasing

Increasing

Increasing

Increasing

Increasing

Finite

Finite

Finite

Finite

Finite

Finite

Finite

Finite

Finite

Finite

Non-Repeating

Non-Repeating

Non-Repeating

Non-Repeating

Non-Repeating

Non-Repeating

Non-Repeating

Non-Repeating

Non-Repeating

Non-Repeating

Decreasing

Decreasing

Decreasing

Decreasing

Decreasing

Decreasing

Decreasing

Decreasing

Decreasing

Decreasing

Neither

Neither

Neither

Neither

Neither

Neither

Neither

Neither

Neither

Neither

Infinite

Infinite

Infinite

Infinite

Infinite

Infinite

Infinite

Infinite

Infinite

Infinite


®

Date:

Name:


NP 2Making Sequences Using Arithmetic RulesInstructions: Use the rules below to make number sequences. You only need to write the first five elements (or terms) but show that the sequence could continue on forever.

5 6

3 4

7 8

9

1 2

{ 10, 9, 8, 7, 6, ...} { 2, 9, 16, 23, 30, ...}

Rule: Subtract 1 (start with 10) Rule: Add 7 (start with 2)

Rule: Add 5 (start with 0) Rule: Add 6 (start with 4)

Rule: Subtract 3 (start with 50) Rule: Subtract 5 (start with 80)

Rule: Multiply by 2 (start with 2) Rule: Multiply by 3 (start with 1)


Rule: Divide by 2 (start with 16) Rule: Divide by 2 (start with 80)

10

1211


®

Date:

Name:


NP 3Common Difference & Common RatioInstructions: These sequences are all based on addition or subtraction rules which means they have a Common Difference. Find that Common Difference by subtracting any two pairs of adjacent elements.

Instructions: These sequences are all based on multiplication or division rules which means they have a Common Ratio. Find that Common Ratio by dividing any two pairs of adjacent elements. Feel free to use a calculator to do the division and it’s best to always divide the bigger number by the smaller one.

3

3

4

2

4

2

5 6

1

1

{ 9, 12, 15, 18, 21, 24... }

{ 1, 5, 25, 125, 625, ... }

{ 20, 16, 12, 8, 4, 0 }

{ 405, 135, 45, 15, 5 }

{ 1, 8, 15, 22, 29, 36, 43, ... }

{ 3, 8, 13, 18, 23, 28, ... }

{ 3, 12, 48, 192, 768, ... }

{ 6, 12, 24, 48, 96, ... }

{ 43, 41, 39, 37, 35, 33, 31 } { 6, 16, 26, 36, 46, 56, ... }

24 - 21 = 3

25 ÷ 5 = 5

12 - 9 = 3

5 ÷ 1 = 5

Common Difference: 3

Common Ratio: 5


®

Date:

Name:


NP 4Finding an Arithmetic RuleInstructions: These sequences are all based on simple arithmetic rules. Identify the rule by checking for a Common Difference or a Common Ratio. (Hint: check for a Common Difference first since subtraction is a little easier than division. If you don’t find one, then check for a Common Ratio instead. Feel free to use a calculator for the division.)

3

5

7

4

6

8

1 2{ 23, 20, 17, 14, 11, 8,... } { 6, 30, 150, 750, 3750,... }

{ 0, 7, 14, 21, 28, 35,... }

{ 2, 6, 18, 54, 162, 486,... }

{ 32, 37, 42, 47, 52, 57,... }

{ 160, 80, 40, 20, 10, 5 }

{ 40, 34, 28, 22, 16, 10 }

{ 7, 14, 28, 56, 112, 224 }

11 - 8 = 3 150 ÷ 30 = 523 - 20 = 3 30 ÷ 6 = 5

Common Difference: 3 Common Ratio: 5Sequence is decreasing Sequence is increasing Rule: Subtract 3 Rule: Multiply by 5


®

Date:

Name:


NP 5Sequences with Missing ElementsInstructions: For each sequence below, fill in the missing elements. You may need to use either a pattern or a simple arithmetic rule to know what the missing elements are.

3

2

4

7

5

8

9

6

10

1 { 4, 1, 1, 4, 1, 1, 4, 1, __, 4, 1, 1, ___, 1, 1,... }

{ 10, 20, 30, 40, ___, 60, 70, 80, 90, ____, 110, 120,... }

{ 85, 84, 83, ____, ____, 80, 79, 78, 77, 76, 75,... }

{ 1, 2, 4, ___, 16, 32, ___, 128, 256, 1024,... }

{ 0, 1, 9, ___, 0, 1, 9, 10, 0, 1, 9, 10, 0, 1, ___, 10,... }

{ 10, ___, 14, 16, 18, 20, 22, ___, 26, 28, 30, 32, ... }

{ B, B, C, A, A, B, B, C, A, A, B, B, C, A, A, B, B, ___, ___ ,... }

{ 83, 80, 77, ___, 71, 68, 65, 62, 59, 56, 53, ___, 47,... }

{ A, ___, 3, B, 2, 7, A, 5, 3, ___, 2, 7, A, 5, 3, B, 2, 7,... }

{ ___, 70, 65, 60, 55, 50, 45, 40, 35, 30, 25, 20, ___ }

41





Place Value, Integers, Ordering and Rounding


1. Missing 9s

Sara makes a list of the whole numbers in ascending order which do

not have 9s as any of their digits.

1 is the first number on Sara's list.

What is the 300th number on Sara's list?

2. Even Squares

In the diagram on the right, how many squares (of

any size) are there whose entries add up to an even

total?

3. Double with 1 to 9

Using each of the number cards 1 to 9 once and once only, find two

whole numbers, one of which is double the other.

Can you find more than one solution?

4. Tick Tock

Tick's watch runs 2 minutes per hour too slow.

Tock's watch runs 1 minute per hour too fast.

They set them to the same time at midday on Sunday.

The next time they met, one of the watches was one hour ahead of

the other.What was the earliest time this could have been?

5. Paying the Bill

Gill is 18 this year. She and I went to a restaurant for lunch to

celebrate her birthday.

The bill for lunch for the two of us came to £25.50.

Gill paid the bill by credit card and I left a £2.50 tip in cash.

We agreed to split the total cost equally.

How much did I owe Gill?

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25


®

Date:

Name:


NP 1Identifying SequencesInstructions: For each sequence below, check one box from each column that describes the correct property of the sequence.

3

2

4

7

5

8

9

6

10

1 { 7, 4, 2, 7, 4, 2, 7, 4, 2,... }

{ 10, 20, 30, 40, 50,... }

{ 17, 16, 15, 14, 13, 12 }

{ 1, 4, 9, 16, 25, 36,... }

{ 5, 10, 5, 10, 5, 10,... }

{ 80, 52, 30, 21, 15, 9 }

{ 7, 1, 0, 5, 7, 1, 0, 5 }

{ 2, 4, 6, 8 }

{ 5, 8, 11, 14, 17, 20,... }

{ 240, 120, 60, 30, 15,... }

Repeating

Repeating

Repeating

Repeating

Repeating

Repeating

Repeating

Repeating

Repeating

Repeating

Increasing

Increasing

Increasing

Increasing

Increasing

Increasing

Increasing

Increasing

Increasing

Increasing

Finite

Finite

Finite

Finite

Finite

Finite

Finite

Finite

Finite

Finite

Non-Repeating

Non-Repeating

Non-Repeating

Non-Repeating

Non-Repeating

Non-Repeating

Non-Repeating

Non-Repeating

Non-Repeating

Non-Repeating

Decreasing

Decreasing

Decreasing

Decreasing

Decreasing

Decreasing

Decreasing

Decreasing

Decreasing

Decreasing

Neither

Neither

Neither

Neither

Neither

Neither

Neither

Neither

Neither

Neither

Infinite

Infinite

Infinite

Infinite

Infinite

Infinite

Infinite

Infinite

Infinite

Infinite

{ 0, 5, 10, 15, 20, ...} { 4, 10, 16, 22, 28, ...}

{ 50, 47, 44, 41, 38, ...} { 80, 75, 70, 65, 60, ...}

{ 2, 4, 8, 16, 32, ...} { 1, 3, 9, 27, 81, ...}

{ 10, 14, 18, 22, 26, ...} { 11, 13, 15, 17, 19, ...}

{ 16, 8, 4, 2, 1, ...} { 80, 40, 20, 10, 5, ...}


®

Date:

Name:


NP 2Making Sequences Using Arithmetic RulesInstructions: Use the rules below to make number sequences. You only need to write the first five elements (or terms) but show that the sequence could continue on forever.

5 6

3 4

7 8

9

1 2

{ 10, 9, 8, 7, 6, ...} { 2, 9, 16, 23, 30, ...}

Rule: Subtract 1 (start with 10) Rule: Add 7 (start with 2)


Rule: Subtract 3 (start with 50) Rule: Subtract 5 (start with 80)

Rule: Multiply by 2 (start with 2) Rule: Multiply by 3 (start with 1)


Rule: Divide by 2 (start with 16) Rule: Divide by 2 (start with 80)

10

1211

4 - 0 = 4

15 ÷ 5 = 3

15 - 8 = 7

28 - 23 = 5

48 ÷ 12 = 4

48 ÷ 24 = 2

35 - 33 = 2 56 - 46 = 10

20 - 16 = 4

135 ÷ 45 = 3

8 - 1 = 7

8 - 3 = 5

12 ÷ 3 = 4

12 ÷ 6 = 2

43 - 41 = 2 16 - 6 = 10


Common Ratio: 3



Common Ratio: 4

Common Ratio: 2

Common Difference: 2 Common Difference: 10


®

Date:

Name:


NP 3Common Difference & Common RatioInstructions: These sequences are all based on addition or subtraction rules which means they have a Common Difference. Find that Common Difference by subtracting any two pairs of adjacent elements.

Instructions: These sequences are all based on multiplication or division rules which means they have a Common Ratio. Find that Common Ratio by dividing any two pairs of adjacent elements. Feel free to use a calculator to do the division and it’s best to always divide the bigger number by the smaller one.

3

3

4

2

4

2

5 6

1

1

{ 9, 12, 15, 18, 21, 24... }

{ 1, 5, 25, 125, 625, ... }

{ 20, 16, 12, 8, 4, 0 }

{ 405, 135, 45, 15, 5 }

{ 1, 8, 15, 22, 29, 36, 43, ... }

{ 3, 8, 13, 18, 23, 28, ... }

{ 3, 12, 48, 192, 768, ... }

{ 6, 12, 24, 48, 96, ... }

{ 43, 41, 39, 37, 35, 33, 31 } { 6, 16, 26, 36, 46, 56, ... }

24 - 21 = 3

25 ÷ 5 = 5

12 - 9 = 3

5 ÷ 1 = 5


Common Ratio: 5

28 - 21 = 7

16 - 10 = 6

28 ÷ 14 = 2

10 ÷ 5 = 2

18 ÷ 6 = 3

57 - 52 = 5

7 - 0 = 7

40 - 34 = 6

14 ÷ 7 = 2

80 ÷ 40 = 2

6 ÷ 2 = 3

37 - 32 = 5



Common Ratio: 2

Common Ratio: 2

Common Ratio: 3


Sequence is increasing

Sequence is decreasing


Sequence is decreasing



Rule: Add 7

Rule: Subtract 6

Rule: Multiply by 2

Rule: Divide by 2

Rule: Multiply by 3

Rule: Add 5


®

Date:

Name:


NP 4Finding an Arithmetic RuleInstructions: These sequences are all based on simple arithmetic rules. Identify the rule by checking for a Common Difference or a Common Ratio. (Hint: check for a Common Difference first since subtraction is a little easier than division. If you don’t find one, then check for a Common Ratio instead. Feel free to use a calculator for the division.)

3

5

7

4

6

8

1 2{ 23, 20, 17, 14, 11, 8,... } { 6, 30, 150, 750, 3750,... }

{ 0, 7, 14, 21, 28, 35,... }

{ 2, 6, 18, 54, 162, 486,... }

{ 32, 37, 42, 47, 52, 57,... }

{ 160, 80, 40, 20, 10, 5 }

{ 40, 34, 28, 22, 16, 10 }

{ 7, 14, 28, 56, 112, 224 }

11 - 8 = 3 150 ÷ 30 = 523 - 20 = 3 30 ÷ 6 = 5

Common Difference: 3 Common Ratio: 5Sequence is decreasing Sequence is increasing Rule: Subtract 3 Rule: Multiply by 5

50

10

12 24

5074

5

75 15

B

9

C A

82

8 64

81

100


®

Date:

Name:


NP 5Sequences with Missing ElementsInstructions: For each sequence below, fill in the missing elements. You may need to use either a pattern or a simple arithmetic rule to know what the missing elements are.

3

2

4

7

5

8

9

6

10

1 { 4, 1, 1, 4, 1, 1, 4, 1, __, 4, 1, 1, ___, 1, 1,... }

{ 10, 20, 30, 40, ___, 60, 70, 80, 90, ____, 110, 120,... }

{ 85, 84, 83, ____, ____, 80, 79, 78, 77, 76, 75,... }

{ 1, 2, 4, ___, 16, 32, ___, 128, 256, 1024,... }

{ 0, 1, 9, ___, 0, 1, 9, 10, 0, 1, 9, 10, 0, 1, ___, 10,... }

{ 10, ___, 14, 16, 18, 20, 22, ___, 26, 28, 30, 32, ... }

{ B, B, C, A, A, B, B, C, A, A, B, B, C, A, A, B, B, ___, ___ ,... }

{ 83, 80, 77, ___, 71, 68, 65, 62, 59, 56, 53, ___, 47,... }

{ A, ___, 3, B, 2, 7, A, 5, 3, ___, 2, 7, A, 5, 3, B, 2, 7,... }

{ ___, 70, 65, 60, 55, 50, 45, 40, 35, 30, 25, 20, ___ }

41





Place Value, Integers, Ordering and Rounding

Age 11+ Level !! Worksheet 1 - Solutions

1. Missing 9s

The 300th number will be 363


2. Even Squares

36 squares


3. Double with 1 to 9

There are twelve possible pairs of numbers:

6729 and 13458

6792 and 13584

6927 and 13854

7269 and 14538

7293 and 14586

7329 and 14658

7692 and 15384

7923 and 15846

7932 and 15864

9267 and 18534

9273 and 18546

9327 and 18654


4. Tick Tock

8am on Monday


5. Paying the Bill

I owe Gill £11.50


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NON DIGITAL & ADDITIONAL RESOURCES

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