1 (a) Write the number 10 069 in words [1]

(b) Write 10 069 correct to the nearest ten [1]

(c) Convert 10 069 centimetres into metres m [1]

2 A bag of sweets costs $0.34 .

Arun buys 10 bags of sweets.

Work out how much change he receives from $5.

$ [2]

3 Two numbers have a sum of -2 and a product of -15.

Work out the two numbers and [2]

4 7 27 39 49 99 112

From the list of numbers, write down

(a) an even number

[1]

(b) a square number

[1]

(c) a factor of 56

[1]

(d) a prime number [1] , ,

5 Write down the reciprocal of 5 [1]

6 Put one pair of brackets into each calculation to make it correct.

(a) 7 5 4 8 16

=

[1]

(b) 7 5 4 8 21

= -

[1]

7 (a) A ticket costs $18.

Write down an expression, in dollars, for the cost of t tickets.

$ [1]

(b) A bag contains n red balls and 16 green balls.

Write down an expression for the total number of balls in the bag [1] , ,

8 (a) Write 90% as a fraction in its simplest form [1]

(b) Write 100 3 as a decimal [1]

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

33  26  19  12

(i) Write down the term-to-term rule for this sequence [1]

(ii) Work out the next two terms in this sequence , [2]

(b) These are the first four terms of another sequence.

19  23  27  31

Find the nth term [2]

10 Ky cycles from his office to a meeting and back again.

The travel graph shows his time at the meeting and his journey back. 1 009 00 10 00 11 00 12 00 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Time Distance from office (km) Office

(a) How far is the meeting from his office?

km [1]

(b) How long is Ky at the meeting for?

min [1]

(c) Write down the time Ky arrives back at his office after the meeting [1]

(d) Ky cycles from his office to the meeting at a constant speed of 21 km/h.

Complete the travel graph.

[2] , ,

14 3 3 3 p 4 10

=

Find the value of p.

p = [1]

21 Points A, B and C lie on the circle, centre O. A O B C 39° NOT TO SCALE

Work out angle BCA.

Angle BCA = [2] , ,

11 Calculate the volume of a cube with side length 3 cm cm3 [1] 12 Solve.

x x 5 8 3 2 +

x = [2] 13 Work out.

(a) 5 4

[1]

(b) ( ) 8 3

• [1] , ,

15 6 cm 3 cm 4 cm NOT TO SCALE

Complete a net of this cuboid on the 1 cm2 grid.

One face has been drawn for you.

[3] , ,

16 (a) Simplify.

a b a b 6 4 5 +

• [2]

(b) Factorise.

(i) x y 6 15 +

[1]

(ii) x y xy 5 2 -

[2] 17 By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of 1 97 5 79 42 8 17 4

• [2] , ,

18 The diagram shows two straight lines intersecting two parallel lines. y° x° z° 110° 50° NOT TO SCALE

(a) Find the value of x.

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

(b) Find the value of y.

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

(c) Find the value of z.

z = [2] , ,

19 A box contains 10 counters.

The counters are either red or green.

The ratio red counters : green counters = 1 : 4.

Shareen picks a counter at random, notes its colour and puts it back in the box.

She then picks a second counter at random. First counter Red Green Second counter Red Red Green Green (a) Complete the tree diagram.

[3]

(b) Find the probability that both counters are green [2] , ,

20 The scatter diagram shows the price of petrol per litre and the number of litres sold at a petrol station on each of ten days. 300 400 500 200 100 0 1.50 1.40 1.60 1.70 1.45 1.55 Price per litre ($) Number of litres sold 1.65

(a) These are the results for two more days. Price per litre ($) 1.68 1.47 Number of litres sold 90 380

Plot this information on the scatter diagram. [1]

(b) What type of correlation is shown in the scatter diagram?

[1]

(c) (i) On the scatter diagram, draw a line of best fit. [1]

(ii) One day the price of petrol was $1.55 per litre.

Use your line of best fit to estimate the number of litres sold litres [1] , ,

22 A 2 3 3 #

B 3 5 2 #

(a) Find the highest common factor (HCF) of A and B [1]

(b) Find the lowest common multiple (LCM) of A and B [2]

23 A T B 1 0 – 1 – 1 1 2 3 4 5 6 7 8 9 – 2 – 3 – 4 – 5 – 6 – 2 – 3 – 4 – 5 – 6 2 3 4 5 6 7 8 y x

(a) On the grid, draw the image of triangle T after a rotation, 90° clockwise, centre (0, 0). [2]

(b) Describe fully the single transformation that maps triangle T onto triangle A [2]

(c) Describe fully the single transformation that maps triangle T onto triangle B [3] , ,

24 Work out 1 3 1 1 4 3 + .

Give your answer as a mixed number in its simplest form [3] 25 (a) Write 32 500 in standard form [1]

(b) Write .5 6 10 3

• as an ordinary number [1] Question 26 is printed on the next page.