Year 7 Mathematics Examination SEMESTER 1 2019

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

22 questions, 26 marks

Section 2:

CALCULATOR

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.

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3

Section 1: NON-CALCULATOR (Total 15 Marks)

1. (1)

What is the difference between 237 and 119? 118 356 181 177

2. (1)

Find the LCM of the following group of numbers. (1, 2, 3, 4, 6)

1 24 16 12

3. (1)

Which one of the following fractions are not equivalent to 3

2

6

4 12

8 6

2 150

100

4. (1)

A square has a perimeter of 24 mm. What is the area of the square?

P = 24 mm

240 mm2 25 mm

2 80 mm 36 mm

2

4

5. (1)

7 1000 + 8 100 is the expanded form of: 7800 780 780000 4008

6. (1)

Which equation is correct?

310

+ 15

= 415

310

+ 15

= 450

3

10+

1

5=

5

10

310

+ 15

= 410

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 red is: 0.2 0.3 0.4 0.6

8. (1)

Which figure below has 3

10 shaded ?

5

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 “T” if one card is picked at random?

2 0.2 1 0.5

10. (1)

The highest common factor (HCF) of 16 and 24 is: 4 12 6 8

11. (1)

7351 rounded to the nearest 1000 is …

5000 8000 7000 6500

12. (1)

Which solid below is a cylinder?

6

13. (1)

6 6 6 6 6 6 6 6 6 can be simplified to:

30 69 6

30 54

14. (1)

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

-8 8 24 -24

15. (1)

The place value of 7 in 713 426 is: 3 tens

7 hundreds

7 hundred thousands 3 thousands

7

Short Answer Section Non-Calculator

16. (2)

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

17. (2)

What is the area of a the following shapes: a) b)

18. (1)

Phil hits 127 runs and Mario hits 49 runs. How many more runs did Phil hit compared to Mario?

19. (2)

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

a 5+

1=

3

5 b

9−

10=

8

10

8

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)

John is climbing up a steep hill to play FORTNITE with his friend. When he is 9 m above his starting point, he slips back 3 m, then climbs 7 m more. How far above his starting point is

he?

22. (2)

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

STOP

9

Section 1: CALCULATOR (Total 50 Marks)

1. (1)

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

35.00 35.2 35.222 3.22

2. (1)

The answer to [2+3´ (7- 4)]¸11 is?

15 1.36 3.65 1

3. (1)

A rectangle has a total perimeter of 40 cm. If the width is 5cm the length must be:

4 cm 6 cm 15 cm 10 cm

4. (1)

The area of this triangle is:

416 cm2 84 cm2 524 cm

2 930 mm

2

10

5. (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

6. (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

7. (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

8. (1)

Use order of operations to find the answers:

(5+ 7)´3- (8- 7) =

22 35 20 29

11

9. (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 a week?

760L 840L 4800L 72mL

10. (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 less than 4?

0.20 0.30 0.60 0.90

11. (1)

Three teachers share a pizza. Craig eats 1

5 of the pizza, Alice 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)

30

14 can be written as?

35

11

15

10 2

1

7 7

15

30

12

Short Answer Section Calculator (38 marks)

13. (2)

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

14. (2)

Write each of the following in expanded form, then evaluate. (a) 57 (b) 834

15. (3)

Use order of operations to answer these problems.

a 6 + 4 9 ________________________________________________

b 7 + 2 (9 – 2) 4 ________________________________________________

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? _______________________

13

17. (3)

In the space below write three pairs of fractions with different denominators with the symbols ( ) inbetween that make true mathematical statements.

For example: 4

5>

1

2

a b c

18. (3)

Evaluate the following:

a 2

7+

5

7 b

4

5-

1

3 c

1 3

2 8

19. (2)

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

20. (2)

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

a 13, 15, 17, 19, ______, ______, ______

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

14

21. (3)

What is the area of the shaded region in the figure shown? (show working out)

22. (1)

Show all working a) Find the volume of this box

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

15

23. (4)

The dinning room floor shown is to be tied with slate tiles. The cost of tiling the room is $30/m2 (per square metre).

a. Calculate the area to be tiled.

b. How much will it cost to tile the room?

24. (4)

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

16

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?

END OF EXAM