2 A B O

A and B lie on a circle, centre O.

(a) Write down the mathematical name of the line AB [1]

(b) On the diagram, draw a radius. [1]

1 Write down all the factors of 26 [2]

3 (a) Write 0.25 as a fraction [1]

(b) Write 2 1 as a percentage % [1]

(c) Write 7% as a decimal [1]

4 (a)

Write down the mathematical name of this solid [1]

(b) 60° 60° 60°

Write down the mathematical name of this type of triangle [1]

5 white red red blue white

The diagram shows a fair 5-sided spinner.

The spinner is spun once.

(a) Write down the colour the spinner is least likely to land on [1]

(b) Find the probability that the spinner lands on white [1]

(c) Find the probability that the spinner does not land on red [1]

6 (a) Write down the reciprocal of 8 [1]

(b) Work out 193 [1]

8 Work out the number of seconds in six and a half hours seconds [1]

7 Mar Apr May Number of cars sold Months 0 10 20 30 40 50 60 70 80 90 100 125 150 175 200

A newspaper prints this bar chart to show the number of cars sold by a garage in March, April and May.

Give two reasons why the bar chart is incorrect. 1 2 [2]

9 23 cm 12 cm NOT TO SCALE 15 cm 5 cm 7 cm 8 cm

Find the area of the shape cm2 [2]

10 (a) Jason records his score in each of 10 games of cricket. 16 7 21 8 20 9 11 7 14 3

(i) Find the mode [1]

(ii) Work out the range [1]

(b) Ed plays 5 games.

His mean score is 28.

After one more game his mean score is now 26.

Work out his score in the sixth game [2]

11 Calculate 19% of $46.25 .

Give your answer correct to the nearest cent.

$ [2] 12 (a) Simplify.

b c b c 5 8 2 3

[2]

(b) q r t 3 5

Find the value of t when q 37

and r 4

.

t = [2]

13 Divide $136 in the ratio 3 : 5.

$,$ [2]

14 Carl packs pens into boxes.

Each box holds 68 pens.

Carl has 980 pens and 14 boxes.

Does Carl have enough boxes to pack all the pens?

Show how you decide because [2]

15 NOT TO SCALE 68° 43° 135° x°

Find the value of x.

x = [1]

16 NOT TO SCALE x cm 4 cm 5 cm

The diagram shows an isosceles triangle.

(a) Calculate the value of x.

x = [2]

(b) The triangle is one face of a square-based pyramid.

Each triangular face of the pyramid is the same.

On the 1 cm2 grid, draw a net of this pyramid.

[3]

17 Write 46.179 correct to 4 significant figures [1]

18 Calculate.

(a) . . . 26 5 8 4 9 3 2 +

[1]

(b) 4 3

[1]

19 Expand and simplify.

( ) ( ) x x 3 5 2 4 1 +

[2]

20 Due to an issue with question 20, the question has been removed from the question paper.

21 The diagram shows shapes A and B. – 5 – 4 – 3 – 2 – 1 1 0 2 3 4 5 y A B x 5 4 3 2 1 – 1 – 2 – 3 – 4 – 5

(a) Describe fully the single transformation that maps shape A onto shape B [3]

(b) On the grid, draw the image of shape A after a reflection in the line y 0

. [2]

22 (a) Complete the table of values for y x 4 2

• . x –4 –3 –2 –1 0 1 2 3 4 y 12 0 –3 –3 0 12

[2]

(b) On the grid, draw the graph of y x 4 2

• for x 4 4 G G

. – 4 – 3 – 2 – 1 1 0 2 3 4 6 7 8 9 10 11 12 y x 5 4 3 2 1 – 1 – 2 – 3 – 4 – 5

[4]

23 (a) Jo buys a candle for $3.20 .

She sells the candle for $4.64 .

Find the percentage profit on the candle % [2]

(b) The candle is in the shape of a cone.

The volume of the candle is 900 cm3.

The height of the candle is 8 cm.

Calculate the radius of the candle cm [3]

24 Make p the subject of the formula m p 9 32

.

p = [2]

25 Find the lowest common multiple (LCM) of 20 and 36 [2]

26 Line L is drawn on the grid. – 4 – 5 – 3 – 2 – 1 1 0 2 3 4 12 14 16 18 20 22 y x 10 8 6 4 2 – 2 – 4 – 6 L

Find the equation of line L in the form y mx c

• .

y = [3]

27 Due to an issue with question 27, the question has been removed from the question paper.

28 The travel graph shows Chi’s journey from home to the station. 0 08 00 08 05 08 10 08 15 08 20 Time Distance (km) 08 25 08 30 08 35 08 40 1 2 3 4 5 6 Home Station

Calculate Chi’s average speed for the whole journey.

Give your answer in kilometres per hour km/h [3] Question 29 is printed on the next page.

29 (a) NOT TO SCALE 1.4 cm x cm 9.1 cm 20.8 cm A B

The diagram shows two similar triangles, A and B.

Calculate the value of x.

x = [2]

(b) 5.4 cm y cm 38°

The diagram shows a right-angled triangle.

Calculate the value of y.

y = [2]