2
1
(a) Write down a number between 20 and 30 that is
(i) a multiple of 6,
Answer(a)(i) ................................................ [1]
(ii) a square number,
Answer(a)(ii) ................................................ [1]
(iii) a cube number,
Answer(a)(iii) ................................................ [1]
(iv) a prime number.
Answer(a)(iv) ................................................ [1]
(b) Find
(i)
3
4913 ,
Answer(b)(i) ................................................ [1]
(ii) 35,
Answer(b)(ii) ................................................ [1]
(iii) 60,
Answer(b)(iii) ................................................ [1]
(iv) 2–4.
Answer(b)(iv) ................................................ [1]
(c) (i) Write 84 as a product of its prime factors.
Answer(c)(i) ................................................ [2]
(ii) Find the highest common factor (HCF) of 84 and 126.
Answer(c)(ii) ................................................ [2]
3
2
(a) Expand and simplify.
2(3x + 2) – 4(x + 1)
Answer(a) ................................................ [2]
(d) Solve the simultaneous equations.
You must show all your working.
3x + 2y = 11
6x – y = 32
Answer(d) x = ................................................
y = ................................................ [3]
3
(a) Write down in figures the number twenty one million.
Answer(a) ................................................... [1]
(b) Write 21% as a fraction.
Answer(c) ................................................... [1]
4
Find the interior angle of a regular polygon with 24 sides.
................................................. [2]
[Turn over
4
5
(a)
u°
NOT TO
SCALE
132°
Find the value of u.
Answer(a) u = .................................................. [1]
(b)
120°
NOT TO
SCALE
v°
155°
91°
Find the value of v.
Answer(b) v = .................................................. [2]
(c)
A
y°
C
NOT TO
SCALE
62°
B
A, B and C lie on a circle with diameter BC.
Find the value of y.
Answer(d)(i) y = .................................................. [2]
Write down the mathematical name for the straight line AB.
Answer(d)(ii) ................................................. [1]
5
(d)
44°
NOT TO
SCALE
w° 165°
x°
(i)
Write down the mathematical name for this triangle.
Answer(c)(i) ................................................... [1]
Find the value of w.
Answer(c)(ii) w = .................................................. [1]
(iii)
Find the value of x.
Answer(c)(iii) x = .................................................. [1]
(e)
There are 156 g of sugar in a 240 g bar of chocolate.
Write 156 as a percentage of 240.
Answer(b)(i) ............................................. % [1]
Work out the number of grams of sugar in a 1.2 kilogram bar of chocolate.
(f)
Write the answer to 34 × 37
(i)
Answer(b)(ii) .............................................. g [2]
in the form 3x,
.................................................. [1]
(ii)
as an integer,
.................................................. [1]
[Turn over
6
6
(a)
p = 4r − 3t
Calculate the value of p when r = 5 and t = −6.
p = .................................................. [2]
(b) Expand the brackets and simplify.
4(3x − 2) − 3(x − 5)
.................................................. [2]
(c) Factorise completely.
x ² − 2x − 24
.................................................. [2]
7
Complete the table.
Fraction
1
4
Percentage
=
=
3
5
47%
=
[3]
8.!
(a) n is an integer.
!
!
!
−2 < n ≤ 2
List the possible values of n.
......................................................
(2)
7
9
(a)
NOT TO
SCALE
36°
The diagram shows 2 sides of a regular polygon with exterior angle 36°.
For this regular polygon, work out
(i)
the number of sides,
.................................................. [2]
(ii)
the interior angle,
.................................................. [1]
(iii)
the sum of the interior angles.
.................................................. [1]
10
Ivan walks 1.5 km from his home to Kingswood Park.
He takes 20 minutes.
Work out Ivan’s average speed in kilometres per hour.
......................................... km/h [2]
[Turn over
8
11.
(2)
12.
Jamie goes on holiday to Florida.
The exchange rate is £1 = 1.70 dollars.
He changes £900 into dollars.
(a)
How many dollars should he get?
................................. dollars
(2)
After his holiday Jamie changes 160 dollars back into pounds.
The exchange rate is still £1 = 1.70 dollars.
(b)
How much money should he get?
Give your answer to the nearest penny.
£ .................................
(2)
9
y
13
4
3
A
L
2
1
−4
−3
−2
−1
0
1
2
3
4 x
−1
−2
−3
−4
(a) Write down the co-ordinates of point A.
(.................... , ....................) [1]
(b) On the grid, plot point B (1, –3).
[1]
(c) Find the gradient of line L.
................................................ [2]
(d) Find the equation of line L in the form y = mx + c .
y = ............................................... [2]
[Turn over
10
14
y
9
8
7
6
5
4
A
3
D
2
1
–5 –4 –3 –2 –1 0
–1
1
2
3
4
5
6
7
8
9
10 11
x
–2
C
–3
–4
–5
B
–6
–7
–8
The diagram shows four shapes A, B, C and D.
(a) Describe fully the single transformation that maps shape A onto
(i)
shape B,
Answer(a)(i) .................................................................................................................................
...................................................................................................................................................... [3]
(ii)
shape C,
Answer(a)(ii) ................................................................................................................................
...................................................................................................................................................... [3]
(iii)
shape D.
Answer(a)(iii) ...............................................................................................................................
...................................................................................................................................................... [2]
(b) On the grid, draw the reflection of shape A in the line x = 5.
[2]
11
15
1
1
Without using your calculator, work out 3 ' 2 .
3
2
You must show all your working and give your answer as a mixed number in its simplest form.
................................................... [2]
21
(a) Factorise completely.
2
x - 64
................................................... [2]
22.
!
Represent the inequality x ≤ 4 on this number line.
[2]
The End