1 B A

(a) Measure the length of line AB in centimetres cm [1]

(b) Draw a line that is perpendicular to the line AB. [1] , ,

5 Find the value of

(a) (i) .1 96

[1]

(ii) 173

[1]

(iii) . . 0 8 1 2

• [1]

(b) Write these numbers in order, starting with the smallest. 19 11 58% 47 27 0.574

1 1 1 [2]

smallest

6 17 4 25 18 14 6 3 18 12

Find

(a) the mode

[1]

(b) the range [1]

7 A bag contains 6 red balls, 4 green balls and 2 blue balls.

Zia takes a ball from the bag at random.

The diagram shows a probability scale. A B C D E F G 0 1

Which arrow shows the probability that,

(a) Zia takes a green ball

[1]

(b) Zia takes a yellow ball

[1]

(c) Zia does not take a blue ball [1] , ,

8 Solve.

(a) x 8 32

x = [1]

(b) x 6 3 12

=

x = [2]

(c) Represent the inequality x 4 2 1 G

on the number line. – 5 – 4 – 3 – 2 – 1 0 1 2 3 4 x

[2]

9 (a)

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

(b) ABC is a triangle. 102° 54° x° NOT TO SCALE B A C

Lily says x is 34.

Give a geometrical reason why Lily is not correct [1]

(c) 126° 48° 75° x° NOT TO SCALE B A C E D

ABCD is a quadrilateral.

DCE is a straight line.

Calculate the value of x.

x = [2] , ,

12 300 students choose where to go on a trip.

The students choose either a zoo, a museum, an art gallery or a sports stadium. Museum Zoo

(a) Show that 75 students choose the museum.

[1]

(b) 45 students choose the art gallery and 120 students choose the sports stadium.

Complete the pie chart to show this information. [2] , ,

13 (a) The surface area of a solid cube is . . cm 121 5 2

Calculate the length of the side of the cube cm [3]

(b) 10 cm 15 cm NOT TO SCALE h

The area of the trapezium is . cm 106 25 2.

(i) Calculate the height of the trapezium cm [2]

(ii) Convert . cm 106 25 2 into m2 m2 [1] 14 A bag contains red, yellow, blue and green cards.

The table shows the probability of taking a red card and a yellow card.

The probability of taking a blue card or a green card is in the ratio blue : green = 5 : 2 .

Complete the table. Colour red yellow blue green Probability 0.53 0.19

[3]

15 Shapes A and B are shown on the grid. – 5 – 4 – 3 – 2 – 1 1 0 2 3 4 5 y x A B 5 4 3 2 1 – 1 – 2 – 3 – 4 – 5 – 6

(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 translation by the vector 6 7 e o. [2] , ,

16 Bob travels from town A to town B.

The travel graph shows his journey. 0 08 00 09 00 10 00 11 00 12 00 Time 13 00 14 00 15 00 100 200 300 400 Distance from town A (km) 500 600

(a) Between which two times did Bob stop for a rest?

Explain how you know and because [2]

(b) Calculate Bob’s average speed, in km/h, for the whole journey km/h [3] , ,

20 (a) Work out the size of one interior angle of a regular 8-sided polygon [2]

(b) A C B D E O x° 71° NOT TO SCALE

A, B and C lie on the circumference of the circle, centre O.

AB is a diameter.

DBE is a tangent to the circle at B.

Find the value of x.

Give a geometrical reason for your answer because [2] , ,

22 (a) A train to town P leaves a station every 20 minutes.

A train to town Q leaves the same station every 35 minutes.

Both trains leave at 09 30.

Find the next time both trains leave together [3]

(b) The distance, d  km, between town P and town Q is 97 km, correct to the nearest kilometre.

Complete the statement about the value of d d 1 G [2] 23 Calculate . . 1 84 10 4 6 10 5 3

.

Give your answer in standard form [2] Question 24 is printed on the next page , ,