1 (a) Write the number 70 000 000 in words [1]

(b) (i) Write down the value of the 5 in the number 0.25 .

Give your answer as a fraction [1]

(ii) Find the value of the reciprocal of 0.25 [2]

2 (a) Write down the mathematical name for an angle between 90° and 180° [1]

(b) Write down the mathematical term that describes two polygons that are the same shape and size [1]

3 (a) Write down 169 [1]

(b) Work out the value of 24 [1]

(c) Work out the value of 10 2

• [1]

(d) Work out 18 4 '

• [1]

(e) Work out . . 1 6 0 02

[1]

16 On Monday the cost of a concert ticket is $x.

On Tuesday the cost of a ticket for the same concert is 20% more than the cost on Monday.

Jack buys 4 tickets on Monday and 5 tickets on Tuesday.

Jack pays $270 in total.

Work out the value of x.

x = [3] 17 Simplify.

(a) y y 4 6

[1]

(b) p p 8 5

[1]

(c) w4 3 ` j

[1] , ,

4 The diagram shows a quadrilateral with sides of equal length. a° 2a° NOT TO SCALE

(a) Write down the mathematical name for this quadrilateral [1]

(b) Work out the value of a.

a = [2] , ,

5 Find the next term in each sequence.

(a) 1, 5, 10, 16, 23, …

[1]

(b) 1, 2, 4, 8, 16, …

[1]

6 These are the lengths of time, in minutes, of seven phone calls. 10 22 5 7 35 8 75

(a) (i) Find the median min [2]

(ii) Find the range min [1]

(b) The longest phone call is 75 minutes.

Write 75 minutes in hours h [1] , ,

14 NOT TO SCALE 4 cm 10 cm h cm

The diagram shows a trapezium.

The area of the trapezium is cm 42 2.

Work out the value of h.

h = [2] 15 (a) Write down the inequality represented on the number line. x 5 4 3 2 1 0 -2 -1 -3 -4 -5 -6

[2]

(b) Write down the smallest integer that satisfies the inequality d 3 4 1 2- [1] , ,

7 70 students study one of French, Spanish and German.

The ratio number who study French : number who study Spanish = 3 : 7.

15 students study French.

Find the number of students who study German [3]

8 The diagram shows two faces of a net of a cuboid on a cm 1 2 grid.

(a) Complete the statement.

The dimensions of the cuboid are cm by cm by cm. [1]

(b) On the grid, complete a net of the cuboid. [3]

(c) Work out the volume of the cuboid cm3 [2]

9 The diagram shows the net of a square-based pyramid. NOT TO SCALE 5 cm 4 cm

The perpendicular height of each triangle is 4 cm.

The base has side length 5 cm.

(a) Calculate the surface area of the pyramid cm2 [2]

(b) Write down the number of edges of the square-based pyramid [1] , ,

10 (a) Line A has equation y x 3 1

• .

Line B has equation y x 3 1

• .

Draw a ring around the description that is correct.

Line A intersects line B Line A has a steeper gradient than line B Line A is perpendicular to line B Line A is parallel to line B Line A and Line B intersect the y-axis at the same point

[1]

(b) y x 4 2 5 3 1 0 – 2 – 3 – 1 – 4 – 5 – 2 – 3 – 1 2 1 3 5 4 – 4 – 5

On the grid, draw the graph of y x 2 1

• .

[2] , ,

11 Jo asks 90 people whether they prefer pop, rock, classical, jazz or folk music.

The pie chart shows some of the results. Pop Rock 100° 120°

(a) Work out the number of people who prefer pop [2]

(b) The sector angle for classical is 80°.

Draw this sector on the pie chart. [1]

(c) 9 people prefer jazz and the rest prefer folk.

(i) Work out the size of the sector angle for jazz [2]

(ii) Complete the pie chart. [1] , ,

12 A music group has 30 members.

7 members play a flute (F ) and play a clarinet (C ).

12 members play a flute.

1 member does not play a flute and does not play a clarinet.

(a) Use this information to complete the Venn diagram. F % C

[2]

(b) Find n(C ) [1] 13 By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of . . . 9 7 0 52 62 5

[2] , ,

18 Q R S T O P NOT TO SCALE y° x° 25°

The diagram shows a circle, centre O.

P and S are points on the circle.

POR is a straight line.

QRST is a tangent to the circle at S.

(a) Find the value of x.

Give a geometrical reason for your answer. x = because [2]

(b) Find the value of y.

y = [3] , ,