1
Q
Calculate 9².
A
81
2
Q
Calculate 4³.
A
64
3
Q
Find the HCF of 24 and 36.
A
12
4
Q
Find the LCM of 6 and 8.
A
24
5
Q
Write 0.004 in standard form.
A
4 × 10⁻³
6
Q
Round 3.678 to 2 decimal places.
A
3.68
7
Q
Round 4567 to 2 significant figures.
A
4600
8
Q
Estimate 49 × 21.
A
50 × 20 = 1000
9
Q
Write 0.2 as a fraction.
A
1/5
10
Q
Write 3/8 as a decimal.
A
0.375
11
Q
Increase £50 by 10%.
A
£55
12
Q
Decrease £80 by 25%.
A
£60
13
Q
Find 15% of 200.
A
30
14
Q
Reverse a 20% increase if final value is 120.
A
100
15
Q
Simplify: 3x + 5x.
A
8x
16
Q
Expand: 2(x + 7).
A
2x + 14
17
Q
Expand: (x + 3)(x + 2).
A
x² + 5x + 6
18
Q
Solve: 3x + 4 = 19.
A
x = 5
19
Q
Solve: 2(x + 3) = 14.
A
x = 4
20
Q
Substitute x = 3 into 2x².
A
18
21
Q
Find nth term of 2, 5, 8, 11.
A
3n − 1
22
Q
Simplify 10:15.
A
0.0854166666666667
23
Q
Share £60 in ratio 2:1.
A
£40 and £20
24
Q
If 5 pens cost £10, find cost of 1 pen.
A
£2
25
If speed = 60km in 2 hours, find speed.
30 km/h
26
Find missing angle on a straight line if one is 120°.
60°
27
Find missing angle in triangle with angles 50° and 60°.
70°
28
Calculate each exterior angle of a regular hexagon.
60°
29
Find area of rectangle 8 × 5.
40
30
Find area of triangle base 10 height 6.
30
31
Find area of circle radius 3.
9π
32
Find volume of cuboid 2×3×4.
24
33
Use Pythagoras: a=3, b=4 find c.
5
34
Describe translation of point (1,2) to (4,6).
( +3, +4 )
35
State scale factor if shape doubles in size.
2
36
Convert 3 km to metres.
3000
37
Convert 250 cm to metres.
2.5
38
Find density if mass=20, volume=5.
4
39
Find mean of 3,5,7,9.
6
40
Find range of 10, 15, 22.
12
41
Find median of 1,3,5,7,9.
5
42
Find probability of heads on fair coin.
1/2
43
Find probability of NOT rolling a 6.
5/6
44
If P(A)=0.3 find P(not A).
0.7
45
Solve: 3x − 7 = 2x + 5.
x = 12
46
Factorise: x² + 7x.
x(x+7)
47
Expand: (2x + 3)(x + 4).
2x² + 11x + 12
48
Find percentage increase from 40 to 50.
0.25
49
Find area of trapezium with parallel sides 4 and 6, height 5.
25
50
Find volume of cylinder radius 3 height 5.
45π
51
Find gradient between (1,2) and (3,6).
2
52
Interpret gradient 2.
Increase of 2 in y for every 1 in x
53
Find probability of two heads.
1/4
54
Solve the equation 4x + 3 = 19.
x = 4
55
Solve the equation 5x − 7 = 18.
x = 5
56
Expand and simplify the expression (x + 5)(x + 2).
x² + 7x + 10
57
Expand and simplify the expression (2x + 3)(x + 1).
2x² + 5x + 3
58
Factorise the expression x² + 9x.
x(x + 9)
59
Factorise the expression 2x² + 8x.
2x(x + 4)
60
Calculate 35% of 240.
84
61
Increase 120 by 15%. Give your answer.
138
62
Decrease 200 by 10%. Give your answer.
180
63
The price after a 25% increase is £125. Find the original price.
£100
64
Simplify the ratio 18 : 24.
3 : 4
65
Share £90 in the ratio 2 : 3.
£36 and £54
66
A car travels 150 km in 3 hours. Calculate its average speed.
50 km/h
67
Calculate the density of an object with mass 30 and volume 6.
5
68
Calculate the pressure when force is 20 N and area is 4 m².
5
69
Find the mean of the numbers 4, 6, 8 and 10.
7
70
Find the median of the numbers 2, 5, 7 and 9.
6
71
Find the range of the numbers 12, 18 and 25.
13
72
Find the probability of rolling an even number on a fair six-sided dice.
1/2
73
A bag contains 5 red and 5 blue balls. Find the probability of picking a blue ball.
1/2
74
Calculate the area of a triangle with base 12 cm and height 5 cm.
30 cm²
75
Calculate the area of a circle with radius 4 cm. Give your answer in terms of π.
16π cm²
76
Calculate the circumference of a circle with radius 5 cm.
10π cm
77
Find the volume of a cuboid with dimensions 5 cm, 3 cm and 2 cm.
30 cm³
78
Find the volume of a cylinder with radius 2 cm and height 10 cm.
40π cm³
79
Use Pythagoras’ theorem to find the hypotenuse when the other sides are 5 cm and 12 cm.
13 cm
80
Find the gradient of the line joining the points (2, 3) and (4, 7).
2
81
Find the midpoint of the line between (2, 4) and (6, 8).
(4, 6)
82
Solve the equation 3(x + 2) = 18.
x = 4
83
Solve the equation 2(x − 3) = 10.
x = 8
84
Convert the decimal 0.6 into a fraction in its simplest form.
3/5
85
Convert the fraction 3/5 into a percentage.
0.6
86
Convert the decimal 0.125 into a fraction.
1/8
87
Estimate the value of 198 × 51.
10000
88
Round 0.0789 to 2 significant figures.
0.079
89
Write 5000 in standard form.
5 × 10³
90
Write 3.2 × 10² as an ordinary number.
320
91
Two angles in a triangle are 40° and 60°. Find the third angle.
80°
92
Find the size of each exterior angle of a regular hexagon.
60°
93
Find the size of each interior angle of a regular pentagon.
108°
94
Calculate the area of a trapezium with parallel sides 4 cm and 10 cm and height 6 cm.
42 cm²
95
Find the probability of getting two tails when tossing a fair coin twice.
1/4
96
Calculate 1/2 × 1/3.
1/6
97
Simplify the expression 3x + 2x − 4.
5x − 4
98
Expand and simplify 3(x + 4).
3x + 12
99
Factorise x² + 6x.
x(x + 6)
100
Solve the equation x/2 = 6.
x = 12
101
Solve the equation x/3 + 2 = 5.
x = 9
102
Find the nth term of the sequence 4, 7, 10, 13.
3n + 1
103
Convert 250 cm into metres.
2.5 m
104
Convert 3.5 kg into grams.
3500 g
105
Convert 750 ml into litres.
0.75 L
106
Find the cost per item if 3 items cost £12.
£4
107
A shape is enlarged by scale factor 2. What is the scale factor for its area?
4
108
A shape is enlarged by scale factor 3. What is the scale factor for its volume?
27
109
Translate the point (2, 3) by the vector (−1, 4).
(1, 7)
110
Reflect the point (3, 2) in the y-axis.
(-3, 2)
111
Rotate the point (1, 2) 90° clockwise about the origin.
(2, -1)
112
Find the probability of picking an ace from a standard deck of cards.
1/13
113
Find the probability of not picking an ace from a standard deck.
12/13
114
Find 10% of 450.
45
115
Find 5% of 200.
10
116
Find 15% of 80.
12
117
Share £50 in the ratio 3 : 2.
£30 and £20
118
A shop increases the price of a £40 item by 15%. Calculate the new price.
£46
119
A jacket costs £80 after a 20% discount. Calculate the original price.
£100
120
A car travels 180 km in 3 hours and then 120 km in 2 hours. Calculate the average speed for the whole journey.
60 km/h
121
A rectangle has a length of 8 cm and a width of 5 cm. It is enlarged by a scale factor of 2. Calculate the new area.
160 cm²
122
A tank holds 200 litres of water. It is filled to three quarters full. Calculate the volume of water in the tank.
150 litres
123
A recipe uses 200 g of flour for 4 people. Calculate how much flour is needed for 10 people.
500 g
124
A train travels 150 km at 50 km/h and then 100 km at 100 km/h. Calculate the total time taken.
5 hours
125
A triangle has a base of 10 cm and a height of 6 cm. Its dimensions are doubled. Calculate the new area.
120 cm²
126
A bag contains 3 red, 2 blue and 5 green balls. Calculate the probability of selecting a green ball.
1/2
127
An item costs £60. It is reduced by 25% and then increased by 10%. Calculate the final price.
£49.50
128
A car uses 8 litres of fuel to travel 100 km. Calculate how much fuel is needed to travel 250 km.
20 litres
129
A student scores 60%, 70% and 80% in three tests. Calculate the mean percentage.
0.7
130
A cube has side length 3 cm. Calculate its volume.
27 cm³
131
A number is increased by 20% to give 72. Calculate the original number.
60
132
A map has a scale of 1:50000. A distance on the map is 4 cm. Calculate the real distance in kilometres.
2 km
133
A shirt costs £30 plus 20% VAT. Calculate the total cost.
£36
134
The radius of a circle doubles. Describe how the area changes.
The area becomes 4 times larger
135
A rectangle has a perimeter of 30 cm and a length of 10 cm. Calculate the width.
5 cm
136
A value decreases from 80 to 60. Calculate the percentage decrease.
0.25
137
A bag contains 4 red and 6 blue balls. Two balls are selected without replacement. Calculate the probability both are red.
2/15
138
A tank fills at a rate of 5 litres per minute. Calculate how long it takes to fill 200 litres.
40 minutes
139
A train leaves at 09:15 and arrives at 11:45. Calculate the journey time.
2 hours 30 minutes
140
A right-angled triangle has sides of length 5 cm and 12 cm. Calculate the hypotenuse.
13 cm
141
A phone costs £200 and is reduced by 15%. Calculate the new price.
£170
142
A class has 12 boys and 8 girls. Calculate the probability of selecting a girl.
2/5
143
A shop sells 3 items for £5. Estimate the cost of 7 items.
Approximately £11.67
144
A rectangle has an area of 48 cm² and a length of 8 cm. Calculate the width.
6 cm
145
A number is multiplied by 3 and then 4 is added to give 19. Calculate the number.
5
146
A car travels 60 km in 1.5 hours. Calculate the average speed.
40 km/h
147
A box holds 24 items. Calculate how many boxes are needed to hold 250 items.
11 boxes
148
A shape is enlarged by a scale factor of 3. Calculate the area scale factor.
9
149
A bag contains 2 red and 3 blue balls. Calculate the probability of selecting a ball that is not red.
3/5
150
A student's score increases from 50 to 65. Calculate the percentage increase.
0.3
151
A number is halved and then 3 is added to give 10. Calculate the number.
14
152
A recipe for 6 people uses 300 g of ingredients. Calculate how much is needed for 9 people.
450 g
153
A distance of 120 miles is travelled in 2 hours. Calculate the speed.
60 mph
154
A circle has a diameter of 10 cm. Calculate the circumference in terms of π.
10π cm
155
A cuboid has dimensions 2 cm, 3 cm and 5 cm. Calculate its volume.
30 cm³
156
A bag contains 5 red and 5 blue balls. Two balls are selected without replacement. Calculate the probability both are blue.
2/9
157
A number is increased by 15% to give 115. Calculate the original number.
100
158
A shop increases £80 by 10% and then increases the result by another 10%. Calculate the final price.
£96.80
159
Find the gradient of the line joining the points (1,2) and (5,10).
2
160
A rectangle has its length and width doubled. Describe how the area changes.
The area becomes 4 times larger
161
A car travels 300 km in 5 hours. Calculate the speed.
60 km/h
162
A tank has a capacity of 500 litres and is half full. Calculate the volume of water.
250 litres
163
A number is multiplied by 4 and then 2 is subtracted to give 18. Calculate the number.
5
164
A student scores 40, 60 and 80. Calculate the mean score.
60
165
A circle has a radius of 7 cm. Calculate the area in terms of π.
49π cm²
166
A bag contains 3 red and 7 blue balls. Calculate the probability of selecting a red ball.
3/10
167
A number is increased by 25% to give 50. Calculate the original number.
40
GCSE MATHS foundation
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