1 (a) Write the number four hundred and sixty thousand and five in figures [1]

(b) Write 52 149 correct to the nearest hundred [1]

2 O

The diagram shows a circle, centre O.

On the diagram

(a) draw a diameter [1]

(b) mark a point on the circumference and label it C. [1]

4 (a) Write down all the factors of 24 [2]

(b) Write down the reciprocal of 7 3 [1]

7 These are the first four terms of a sequence. 9 5 1 -3

(a) Find the next term [1]

(b) Explain how you worked out your answer [1] , ,

9 (a) Shade 4 3of this grid.

[1]

(b) Work out 15% of 80 [2]

10 The bar chart shows the number of books sold in a shop in each of five months. Mar Apr May Jun Jul Aug 0 1 2 3 4 5 Number of books sold Months 6 7 8 9 10 11 12

(a) 4 books were sold in August.

Complete the bar chart. [1]

(b) Calculate the mean number of books sold in the six months [2] 11 The temperature at midnight is C 2°

.

The temperature at noon is 5 °C.

(a) Find the difference between these temperatures °C [1]

(b) The temperature at 9 am is 8 °C higher than the temperature at midnight.

Work out the temperature at 9 am °C [1] , ,

13 The scale drawing shows the positions of town A and town B.

The scale is 1 centimetre represents 10 kilometres.

North B North A Scale: 1 cm to 10 km

(a) Work out the actual distance from town A to town B km [2]

(b) Measure the bearing of town B from town A [1]

(c) Town C is 45 km from town A on a bearing of 310°.

On the scale drawing, mark the position of town C. [2] , ,

14 These are the ages, in months, of each of 12 children. 11 27 8 10 26 17 28 12 9 13 22 12

(a) Complete the stem-and-leaf diagram to show this information. 0 1 2

Key: 1 | 7 represents 17 months [2]

(b) Find the number of children over 2 years old [1]

(c) Show that the median is 12.5 .

[1] , ,

16 (a) Complete the table of values for y x 9

. x – 4.5 –3 –2 –1.5 –1 1 1.5 2 3 4.5 y –2 –3 – 6 –9 9 6 4.5 2

[2]

(b) On the grid, draw the graph of y x 9

for . x 4 5 1 G G

• and . x 1 4 5 G G . – 5 – 4 – 3 – 2 – 1 1 0 2 3 4 5 6 7 8 9 y x 5 4 3 2 1 – 1 – 2 – 3 – 4 – 5 – 6 – 7 – 8 – 9

[4]

17 (a) Write down a prime number between 20 and 30 [1]

(b) Simplify 9 2 ` j [1] 18 Work out 18 11 9 2

.

Give your answer as a fraction in its simplest form [2] 19 By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of . . . 2 49 5 3 19 5

[2] 20 Some students take a test.

75 of the students pass the test.

This is 5 3 of the students who take the test.

Work out how many students take the test [2] , ,

21 Shapes A and B are shown on the grid. – 5 – 4 – 3 – 2 – 1 1 0 B A 2 3 4 5 y 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) Draw the image of shape A after a reflection in the line y 1 =- . [2] , ,

22 Chocolate cookies Makes 12 100 g flour 55 g butter 55 g sugar 20 g cocoa 1 egg

(a) Sunita makes 24 chocolate cookies.

Work out how much flour she needs g [1]

(b) Albie has 28 g of cocoa.

Does he have enough cocoa to make 18 cookies?

Explain how you decide [2] 23 (a) a a a x 8 15

=

Find the value of x.

x = [1]

(b) ( ) b b y 7 21

Find the value of y.

y = [1] , ,

24 % = {students in a year group}

H = {students who study History}

G = {students who study Geography}

80 students are in the year group.

40 students study History. H G 10 15 %

(a) Complete the Venn diagram. [2]

(b) Find n(G) [1]

(c) A student is chosen at random.

Work out the probability that the student does not study History and does not study Geography [1] 25 Expand and simplify.

( )( ) x x 3 2 +

[2] 26 Write .1 753 108

as an ordinary number [1]