Cambridge Maths 7 Semester Review 2

8/19/2019 Cambridge Maths 7 Semester Review 2

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Semester review 2 581

Chapter 7: Time

Multiple-choice questions

1 An ancient building is dated back to 2500bc

. How old does that make it in 2014? (Note: Theyear before 1 ad is 1 bc; there is no year 0.)

A 4514 years B 486 years C 10 000 years D 2500 years E 2014 years

2 Anastasia walks to school in 25 minutes and 54 seconds, then home in 37 minutes and

17 seconds. What is Anastasia’s total walking time?

A 62 min 11 s B 1 h 2 min 11 s C 53 min 11 s

D 17 min 37 s E 1 h 3 min 11 s

3 How many hours behind New South Wales is South Australia?

A1

2

h B 1 h C 11

2

h D 2 h E 21

2

h

4 6.1 hours is the same as:

A 6 h 1 min B 6 h 10 min C 6 h 12 min

D 6 h 6 min E 6 h 10 min 10 s

5 When it is 3 a.m. in New York, what time is it in Sydney, using Australian standard time?

A 3 a.m. B 12 noon C 5 p.m. D 3 p.m. E 6 p.m.

Short-answer questions

1 Write the following, using the units shown in brackets.

a 21

2

days (h) b 180 min (h) c 3.5 min (min and s)

d 61

2 h (h and min) e 9:45 p.m. (24-h time) f 1326 (a.m./p.m.)

g 5.75 h (h and min) h 6.32 h (h, min, s)

2 Calculate these time intervals.

a 2:25 a.m. to 3:10 a.m. b 6:18 p.m. to 8:09 p.m.

c 6 h 40 min 10 s to 7 h 51 min 11 s d 2 h 18 min 50 s to 4 h 10 min 40 s

3 a When it is 9 a.m. UTC, what time is it in the following places?i New South Wales ii Western Australia

iii Iraq iv Central Greenland

v Alaska vi New Zealand

b When it is 4:20 p.m. in New South Wales during daylight saving time, what time is it in the

following places?

i Western Australia ii South Australia

iii Queensland iv Tasmania

S e m e s t e r r e v i e w 2

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Semester review 282

4 Use the given train timetable for Richmond to Chatswood to answer the following questions.

Station a.m. p.m.

Richmond 6:37 2:56

Seven Hills 7:21 3:40

Parramatta 7:32 3:52

Central 8:07 4:25

Chatswood 8:35 4:53

a How long does it take to travel from:

i Richmond to Parramatta in the morning?

ii Seven Hills to Chatswood in the morning?

iii Parramatta to Chatswood in the afternoon?

iv Richmond to Chatswood in the afternoon?

b Does it take longer to travel from Richmond to Chatswood in the morning or afternoon?

c Domenic travels from Richmond to Parramatta in the morning, then from Parramatta to

Chatswood in the afternoon. What is Domenic’s total travel time?

5 How many hours and minutes are there between 2:30 p.m. Monday and 11:45 a.m. Tuesday?

6 A busy airport operates 18 hours a day. An aircraft lands every 9 minutes. How many aircraft

arrive at the airport each day?

7 The local time in Sydney and Melbourne is 2 hours behind Auckland and 10 hours ahead of

London. When it is 5 p.m. in Auckland, what time is it in London?

Extended-response question

1 Anchen is researching his next big trip. He plans to travel from Sydney to Cairns, to Alice

Springs, to Perth and then return home.

a It is currently 4:30 p.m. at home (Australian standard time). What is the current time in these

places?

i Cairns

ii Alice Springs

iii Perth

b Anchen leaves Sydney at 0635 hours and arrives in Cairns at 0914 hours. What is the duration

of the flight?

c After staying a week in Cairns, Anchen leaves on a 2 hour and 30 minute flight to Alice

Springs. If he leaves at 1:30 p.m., what will be the time in Alice Springs when he arrives?

Chapter 8: Algebraic techniques 1Multiple-choice questions

1 12 − x means:

A 12 less than x B x less than 12 C x has the value of 12

D x is less than 12 E x is more than 12

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2 Double the sum of x and y is:

A 2( x + y) B 2 x + y C x + 2 y D ( x + y)2 E x + y + 2

3 Half the product of a and b is:

A 2ab B

a b+

2 C

ab

2 D

1

2a +

1

2b E

a

2 + b

4 4a + 3b + c + 5b − c is the same as:

A 32ab B 4a + 8b + 2c C 8a + 4b D 64abc E 4a + 8b

5 If a = 3 and b = 7, then 3a2 + 2b is equal to:

A 66 B 95 C 23 D 41 E 20


1 Consider the expression 5 x + 7 y + 3 x + 9.

a How many terms are in this expression?

b Can the expression be simplified?

c What is the value of the constant term?

d What is the coefficient of y?

2 Write an algebraic expression for each of the following.

a the sum of x and 3 b the product of a and 12

c the sum of double x and triple y d w divided by 6

e double x taken from y

3 Find how many:

a cents are in $m b hours are in x daysc millimetres are in p kilometres d days are in y hours

4 If m = 6, find the value of each of the following.

a m + 7 b 2m − 1 c 6m + 3

d 2(m − 3) e m + 6

2 f

m

2 + 4m − 3

5 Evaluate the expression 3(2 x + y) when x = 5 and y = 2.

6 Simplify each of the following.

a 6a +

4a b 7 x −

3 x c 9a +

2a +

ad m + m − m e 6 + 2a + 3a f x + y + 3 x + y

7 a Write an expression for the perimeter of rectangle ABCD.

b Write an expression for the area of rectangle ABCD.

D

3

x + 4

A B

C

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Semester review 284

8 Find the missing term.

a 3a × ____ = 18abc b 10ab ÷ ____ = 2a

c 2 p + 2 p + 2 p = 6____

9 Expand:

a 2(a + 3) b 12(a − b) c 8(3m + 4)

10 Write the simplest expression for the perimeter of this figure.

2 xy

Extended-response question 1 A bottle of soft drink costs $3 and a pie costs $2.

a Find the cost of:

i 2 bottles of soft drink and 3 pies

ii x bottles of soft drink and 3 pies

iii x bottles of soft drink and y pies

b If Anh has $50, find his change if he buys x bottles of soft drink and y pies.

Chapter 9: Equations 1Multiple-choice questions

1 The solution to the equation x – 3 = 7 is:

A 4 B 10 C 9 D 11 E 3

2 The solution to the equation 2( x + 3) = 12 is:

A 4.5 B 2 C 7 D 6 E 3

3 m = 4 is a solution to:

A 3m + 12 = 0 B m

4 = 16 C 10 – 2m = 2

D m + 4 = 0 E 3m – 6 = 2

4 The solution to 2 p – 3 = 7 is:

A p = 4 B p = 5 C p = 2 D p = 10 E p = 3

5 Ying thinks of a number. If he adds 4 to his number and then multiplies the sum by 5, the result is

35. What equation represents this information?

A y + 9 = 35 B 5 y – 4 = 35 C 5y + 4 = 35

D 5( y + 4) = 35 E y + 20 = 35

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1 Solve:

a x + 9 = 12 b x

9 = 12 c x – 9 = 12 d 9 x = 12

2 Solve:a 3 x + 3 = 9 b

x

2 + 6 = 12 c 3(m – 1) = 18

3 If y = mx + b, find:

a y when m = 3, x = 4 and b = 8 b b when y = 20, m = 4 and x = 4

c m when y = 36, x = 3 and b = 12

4 If P = S – C , find:

a P when S = 190 and C = 87 b S when P = 47.9 and C = 13.1

c C when P = 384 and S = 709

5 Use your knowledge of geometry and shapes to find the value of x in each of the following.a

( x + 2) cm

P = 28 cm

b

17 cm

(2 x + 5) cm c

36°2 x°

6 The perimeter of this triangle is 85 cm. Write an equation and then solve it

to find the value of x .


1 The cost of hiring a hall for an event is $200 plus $40 per hour.

a What is the cost of hiring the hall for 3 hours?

b What is the cost of hiring the hall for 5 hours?

c What is the cost of hiring the hall for n hours?

d If the cost of hiring the hall totals $460, for how many hours was it hired?

Chapter 10: Measurement and computation of length, perimeter and areaMultiple-choice questions

1 17 mm is the same as:

A 0.17 m B 0.17 cm C 0.017 m D 170 cm E 1.7 m

2 0.006 L is the same as:

A 6 mL B 36 mL C 10 mL D 60 mL E 600 mL

2 x cm

25 cm

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Semester review 286

3 Which of the following shapes has the largest perimeter?

A B C

D E

4 The perimeters of the two shapes shown below are equal. The area of the square is:

A 30 m2 B 7.5 m2

C 56.25 m2 D 120 m2

E 60 m2

5 Which is the correct formula for the circumference of a circle?

A C = 2πr B C = πr 2 C C = πr D C = 2πd E C = πd 2


1 Complete these conversions.

a 5 m = ____ cm b 6 km = _____ m c 1800 mm = _____ m

d 1.7 cm = _____ m e 180 cm = _____ m f 51

2 km = _____ m

2 Find the perimeter of each of the following.

a

68 cm

b1.3 m

4.2 m

c75 cm

1.5 m

d

55 cm

e 6 0 c m 4 0

c m

1.2 m

f 7 m

12 m

20 m

3 Find the area of each of the following.

a

1.3 m

b

3 m

8 m c

15 m

8 m

13 m5 m

12 m

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d 4.5 m

7 m

12 m

e

12 m

12 m

7 m

f7 m

10 m

1 2

m8 m

4 Find the exact perimeter of the following sectors.

a

12 cm

b

6 cm

c

45°

4 cm

5 Find the exact perimeter of this composite figure, in which two semicircleshave been removed from a square.


1 Robert has been given 36 m of fencing with which to build the largest rectangular enclosure that he

can, using whole number side lengths.

a Draw three possible enclosures and calculate the area of each one.b What are the dimensions of the rectangle that gives the largest possible area?

c If Robert chooses the dimensions in part b and puts a post on each corner, and then posts every

metre along the boundary, how many posts will he need?

d If it takes 15 minutes to dig each hole for each post, how many hours will Robert spend

digging?

Chapter 11: Introducing indicesMultiple-choice questions

1 The first prime number after 90 is:

A 91 B 92 C 97 D 95 E 93

2 The highest common factor (HCF) of 12 and 18 is:

A 6 B 12 C 4 D 2 E 9

3 2 × 2 × 2 × 3 is the same as:

A 6 × 3 B 23 × 3 C 83 D 63 E 43

8 cm

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Semester review 288

4 Evaluating 32 − 25 + 3 gives:

A 8 B 5 C 4 D 17 E 7

5 The number 48 in prime factor form is:

A 24 × 5 B 2 × 3 × 5 C 23 × 32 D 24 × 3 E 23 × 3


1 List the factors of:

a 15 b 30 c 100

2 List the first five multiples of:

a 3 b 7 c 11

3 List all factors common to 30 and 36.

4 What is the highest factor common to 36 and 40?

5 Find the value of:

a 112 b 62 × 22 c 33 − 23

6 What is the square root of 14 400?

7 Is the expression 3 42 2+ = 3 + 4 true or false?

8 Find the smallest number that must be added to 36 791 so that it becomes divisible by:

a 2 b 3 c 4

9 Simplify the following, and express your answer using indices.

a (85)2 b 85 × 82 c 85 ÷ 82

d 85 × 8 e 85 ÷ 8 f 85 × 85

10 Write down the value of each of the following.

a 80 b 8 × 80 c (8 × 8)0

d 8 + 80 e (8 + 8)0 f 80 + 80


1 Copy and complete the following pattern.

a (−1)2

= −1 × −1 = 1(−1)3 = −1 × −1 × −1 = −1

(−1)4 =

(−1)5 =

b What is the value of −1 to the power of 279? How do you know?

c Will the value of −3 to the power of 79 be positive or negative? Explain.

© D id G d t l 2013 C b id U i it P

Cambridge Maths 7 Semester Review 2

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