Year 7 Mathematics Examination

SEMESTER 1 2018

QUESTION AND ANSWER BOOKLET

STUDENT NAME:

TEACHER:

DATE:

TIME ALLOWED FOR THIS PAPER Reading time before commencing work: 10 minutes Working time for this paper: 90 minutes

MATERIAL TO BE PROVIDED BY THE SUPERVISOR

This Question/Answer Booklet

MATERIAL TO BE PROVIDED BY THE CANDIDATE

Pen/pencil for answering questions.

Erasing stationery.

Up to two scientific calculators.

Written notes on one unfolded A4 sized paper; can be double-sided.

TOTAL QUESTIONS: TOTAL MARKS: 76 Section 1:

NON-CALCULATOR (40 Minutes)

22 questions, 26 marks

Section 2:

CALCULATOR (50 Minutes)

25 questions, 50 marks

AT THE END OF THE EXAMINATION Attach any extra sheets used to this Question/Answer booklet.

IMPORTANT NOTE TO CANDIDATES No other items may be taken into the examination room. It is your responsibility to ensure that you do not have any unauthorised notes or other items of a non-personal nature in the examination room. If you have any unauthorised material with you, hand it to the supervisor BEFORE reading any further.

2

Section 1: NON-CALCULATOR Multiple Choice (Total 15 Marks)

1. (1)

What is the difference between 87 and 15? 62 75 77 72

2. (1)

The place value of 7 in 213 736 is: 7 tens

7 hundreds

3 hundreds

7 thousands

3. (1)

651 rounded to the nearest 100 is

500 600 700 650

4. (1)

A square has a perimeter of 20 mm. What is the area of the square?

400 mm2 40 mm2 80 mm 25 mm2

3

5. (1)

Find the LCM of the following group of numbers. (1, 2, 3, 4)

1 6 16 12

6. (1)

6 6 6 6 6 can be simplified to:

30 65 6

30 54

7. (1)

A bag of marbles contains 6 blue marbles, 2 green marbles and 2 red marbles. A marble is

chosen at random. The probability that the marble selected is blue is: 0.2 0.3 0.4 0.6

8. (1)

Which figure below has 3

7 shaded ?

9. (1)

Both letters of the word “TO” are written separately on two cards. What is the chance of

picking a card with the letter “O” if one card is picked at random?

2 0.2 1 0.5

4

10. (1)

The highest common factor (HCF) of 16 and 24 is: 4 16 6 8

11. (1)

Which one of the following fractions are not equivalent to 3

2

6

4 12

8 6

2 150

100

12. (1)

Which solid below is a cone?

13 (1)

Which equation is correct?

310

+ 15 = 4

15

310

+ 15 = 4

50

3

10+

1

5=

5

10

310

+ 15

= 410

5

14. (1)

How much do you need to add to -16 to get to 8?

-8 8 24 -24

15 (1)

4 1000 + 8 100 is the expanded form of: 4800 480 480000 4008

6

Short Answer Section Non-Calculator (Total 11 Marks)

16. (2)

Find the perimeter of each of these shapes. a) b)

17. (2)

What is the area of a the following shapes:

4cm 7m

5cm 7m a) b)

18. (1)

Phil hits 137 runs and Mario hits 19 runs. How many more runs did Phil hit compared to Mario?

7

19. (2)

Fill in the empty boxes to make the following fraction equations correct.

a) 5+

1=

3

5 b)

9−

10=

8

10

20. (1)

Leon is 6 years older than Sam, Jamie is 5 years older than Leon, and the total of their ages is 43. How old is Sam?

21. (1)

What is the largest four-digit number you can write if each digit must be different and no digit may be prime?

22. (2)

John is climbing up a steep hill to play FORTNITE with his friend. When he is 5 m above his starting point, he slips back 2 m, then climbs 7 m more. How far above his starting point is he?

STOP

8

Section 2: CALCULATOR (Total 50 Marks)

1. (1)

A family fills their pool with a hose. In 1 hour the hose pumps 5 litres of water. How much water is in the pool after 6 days?

760L 720L 7200L 72mL

2. (1)

The area of a square is 25cm2. If the length of each side is doubled, what is the area now?

50cm2 625cm2

100cm2 324cm2

3. (1)

A rectangle has a total perimeter of 30 cm. If the width is 5cm the length must be:

4 cm 6 cm 20 cm 10 cm

4. (1)

The numbers –6 and 4 are marked on the number line below. What is the third number (labelled A) which is marked on the number line?

-4 2 -2 -1

9

5. (1)

Ten cards are numbered from 1 to 10, shuffled and placed face down on a table. If a card is selected at random, what is the probability that the card selected is greater than 7?

0.20 0.30 0.50 0.90

6. (1)

The answer to [2+3´ (7- 4)]¸11 is?

15 1.36 3.65 1

7. (1)

The area of this triangle is:

12 m2 84 m2 54 m2

90 m2

8. (1)

When 317 is divided by 9 the answer correct to two decimal places is:

35.00 35.2 35.222 3.22

10

9. (1)

Which group of numbers contains every factor of 60?

2,3,4,5,10,12,15,60

2,3,4,5,10,12,15,20,30

1,2,3,4,5,10,12,15,20,30

1,2,3,4,5,6,10,12,15,20,30,60

10. (1)

Use order of operations to find the answers

(5+5)×3–(8–7)

22 35 20 29

11. (1)

Three teachers share a pizza. Craig eats 1

5 of the pizza, Krystal eats

1

4 of the pizza and

Michael eats the rest. What fraction of the pizza does Michael eat?

1

20

11

20

3

5

2

4

12. (1)

60

14 can be written as?

35

11

15

10 4

2

7 7

15

30

11

Short Answer Section Calculator (38 marks)

13. (3)

What is the area of this shape? (show working)

14. (2)

Write the next three terms in each of the following sequences.

a) 3, 5, 7, 9, ______, ______, ______

b) 65, 57, 49, 41, ______, ______, ______

15. (3)

Andrew has 25 games, four of which are sports games and the rest are strategy games. He chooses a game at random and selects a sport game. What is the probability of this happening? Write you answer as a fraction, decimal and percentage. Fraction Answer Decimal Answer Percentage Answer

2.5 m

4 m

12 m

12

16. (4)

Jamieson shared a pizza with some friends. He ate the shaded slices.

a) What fraction of the pizza did Jamieson eat? __________________________ b) What percentage of the pizza did Jamieson eat? _______________________ c) What fraction of the pizza did his friends eat? __________________________ d) What percentage of the pizza did his friends eat? _______________________

17. (3)

In the space below write three pairs of fractions with different denominators with the symbols (<, = or >) in between that make true mathematical statements.

For example: 4

5>

1

2

a) b) c)

18. (3)

Evaluate the following:

a) 3 4

5 5 b)

6 1

7 3 c)

1 3

2 8

13

19. (2)

Use order of operations to answer these problems.

a) 5 + 4 7 ________________________________________________ ________________________________________________ ________________________________________________

b) 3 + 2 (8 – 2) 4 ________________________________________________

20. (2)

Write each of the following in expanded form, then evaluate. a) 53 b) 114

21. (2)

Write each of the following in index form. a) 3 × 3 × 3 b) 22 × 22 × 22 × 22 x 22 x 22

22. (1)

Re-write the numbers 20, -6, 80, 2, -8, -19 in ascending order.

14

23. (4)

Find the area the composite shape. Show full working

24. (4)

Show all working a)Find the volume of this box

b) How many of these boxes would fit inside a 1𝑚3 container?

15

25. (1,2,1,1)

A rectangular swimming pool is 8m long and 3m wide. A path 1m wide is to be laid around the pool.

a) Draw a diagram to show the pool and surrounding path.

b) Calculate the area of the path.

c) The square paving slabs that will be used for the path are 1m in length, how many square

paving slabs will you need to use?

d) Each paving slab cost $4.75. What will it cost to buy the required number of paving slabs?

16

END OF EXAM