3 x

(a) Measure angle x.

x Angle = [1]

(b) Write down the mathematical name for this type of angle [1]

1 Jacob is 10 years 8 months old.

Amy is 15 months younger than Jacob.

Find how old Amy is years months [1] , ,

4 A concert starts at 19 50 and finishes 2 hours 42 minutes later.

Work out the time the concert finishes [1]

5 Use one of these symbols , or 1 2 = to make each statement true.

7 2 0.2861

900 99 11%

13 40

[2] , ,

6 The stem-and-leaf diagram shows the number of cars sold each day by a company. 1 0 3 4 5 6 7 2 1 2 2 4 7 7 7 3 0 0 1 2 2 5 6 8 4 0 1 4 6 5 1 2 4

Key: 3 | 2 represents 32

(a) Find the range [1]

(b) Find the mode [1] 1

7 Find the reciprocal of 1 1 4 [1]

8 138° 28° 49° y° NOT TO SCALE

The diagram shows a quadrilateral.

Find the value of y.

y = [2] , ,

9 Edith invests $3000 in a savings account.

The account pays simple interest at a rate of 2.6% per year.

Calculate the total interest earned during the 3 years.

$ [2]

10 (a) These are the first four terms of a sequence.

10 16 22 28

Write down the next term in the sequence [1]

(b) The term to term rule for another sequence is multiply by 3 and subtract 1.

The fourth term in the sequence is 68.

Find the third term in the sequence [2] 11 The circumference of a wheel is 198.55 cm.

Calculate the diameter of the wheel.

Give your answer in millimetres mm [3] , ,

12 The grid shows half of a shape which has a line of symmetry, L.

Complete the shape. L

[2] 13 (a) Find the value of c d 6 7 + when c 3 = and d 4 =- [2]

(b) Solve.

x x 6 8 11 4 +

x = [2] , ,

14 Write 34 as a percentage of 80 % [1] 15 A bus stops 25 times on a journey.

The table shows the number of people who get on the bus at each stop. Number of people Frequency 0 1 1 6 2 7 3 4 4 5 5 2

Calculate the mean [3] , ,

16 w cm 12 cm 8 cm NOT TO SCALE

The diagram shows a trapezium with parallel sides of length 12 cm and w cm.

The height of the trapezium is 8 cm.

The area of the trapezium is 78 cm2.

Find the value of w.

w = [2] 17 A distance, d metres, measures 34.6 m, correct to the nearest 0.1 m.

Complete this statement about the value of d d 1 G [2] , ,

2 Change 6.7 kilometres to metres m [1]

18 The diagram shows a rectangle and two points, P and C, on a 1 cm2 grid. P C 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 x y

(a) Write down the coordinates of point C.

( , ) [1]

(b) The rectangle is enlarged by scale factor 2 with centre of enlargement point C.

Find the coordinates of the image of point P.

( , ) [2]

(c) Find the area of the enlarged rectangle cm2 [1]

19 Jo asks some people if they own a car (C) and if they own a motorbike (M).

86 people own a car.

39 people own a motorbike.

7 people do not own a car and do not own a motorbike. C 74 M

(a) Complete the Venn diagram.

[2]

(b) Find the total number of people that Jo asks [1]

(c) Write down ( ) C M n + [1] 20 Josh buys a car for $7800 and sells it for$5265.

Calculate his percentage loss % [2] , ,

21 (a) Factorise.

x 28 35

[1]

(b) Make r the subject of the formula T r p 4

• .

r = [2] 22 Solve the simultaneous equations.

You must show all your working.

x y 5 6 9 +

x y 3 2 17

x = y = [3] Questions 23 and 24 are printed on the next page. , ,