1. Write down the temperature that is 7 °C below -3 °C.
............................................... °C [1]
2. Calculate
.................................................... [1]
3. Here is a list of numbers.
87 77 57 47 27
From this list, write down
(a) a cube number,
.................................................... [1]
(b) a prime number.
.................................................... [1]
4. (a) Find the highest common factor (HCF) of 84 and 105.
.................................................... [2]
(b) Find the lowest common multiple (LCM) of 60 and 72
.................................................... [2]
5. Write 15 060
(a) in words
…………………………………………………………………………………………………... [1]
(b) in standard forms
.................................................... [1]
6. (a) Find the gradient of the line that is perpendicular to the line 2y = 3+5x.
.................................................... [2]
7. (b) Find the gradient of the line that is parallel to the line 2y = 3+5x.
.................................................... [1]
8. A is the point (2, 1) and B is the point (9, 4).
Find the length of AB.
.................................................... [3]
9. A straight line joins the points (3k, 6) and (k, -5).
The line has a gradient of 2.
Find the value of k.
.................................................... [3]
10. (a) Without using a calculator, work out
Write down all the steps of your working and give your answer as a fraction in its simplest form
.................................................... [4]
(b)Without using a calculator, work out
You must show all your working and give your answer as a fraction in its simplest form
.................................................... [4]
11. The table shows how children in Ivan’s class travel to school
Ivan wants to draw a pie chart to show this information.
i) Find the sector angle for each method to school.
ii) By using protractor, draw exactly pie chart based on sector angle that have been calculated
*Students may use the next blank page to calculate and draw a pie chart
[10]
12. Simplify.
a) p2 x p4
................................................. [1]
b) m15 ÷ m5
................................................. [1]
c) (k3)5
................................................ [1]
13. Factorise.
18y - 3ay + 12x - 2ax
...............................................[2]
14. In each Venn diagram, shade the required region.
[3]
15.
The diagram shows two sectors of circles with the same centre.
Calculate the shaded area.
............................................. cm2 [3]
16.
The diagram shows two shapes that are mathematically similar.
The smaller shape has area 52.5 cm2 and the larger shape has area 134.4 cm2.
Calculate the value of m.
m = ................................................. [3]
17. Rectangle A measures 3 cm by 8 cm.
Five rectangles congruent to A are joined to make a shape.
Work out the perimeter of this shape.
........................................... cm [2]
18. Complete the table for the 5th term and the nth term of each sequence.
1st term 2nd term 3rd term 4th term 5th term nth term
9 5 1 -3
4 7 10 13
4 7 12 19
1 7 17 31
[11]
19.
The diagram shows 5 cards.
(a) Donald chooses a card at random.
(i) Write down the probability that the number of dots on this card is an even number.
.................................................... [1]
(ii) Write down the probability that the number of dots on this card is a prime number
.................................................... [1]
20.
(a)
In the diagram, AC and BD are straight lines.
Find the value of p and the value of q.
p = ………………………
q = …………………… [3]
(b) The angles of a quadrilateral are x°, (x+5)°, (2x-25)° and (x+10)°.
Find the value of x.
x = ………………………. [3]
21.
The diagram shows a hemisphere with radius 6 cm.
Calculate the volume.
Give the units of your answer.
[The volume, V, of a sphere with radius r is ]
…………………….[3]
22.
The diagram shows a prism ABCDEF.
The cross-section is a right-angled triangle BCD.
BD = 10 cm, BC = 5.2 cm and ED = 18 cm.
(a) Work out the volume of the prism.
…………………… cm3 [6]
23.
a)
Find the value of s when u = 5.2, t = 7 and a = 1.6
s = ………………………. [2]
(b) Simplify
(i) 3a-5b-a+2b
………………………. [2]
(ii)
………………………. [2]
(c) Simplify.
(i)
x =………………………. [1]
(ii) 4(5-3x) = 23
x =………………………. [3]
(d) Simplify.
(27x9)2/3
…………………… [2]
24.
(i) Draw the graph on the graph paper provided for straight line y= -x + 3
[5]
(ii) From the graph obtained, state the y-intercept and x-intercept of the graph
[2]
