GCSE LINEAR EXAM QUESTIONS
(FOUNDATION)
AUTHOR
www.mistrymaths.co.uk
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Perimeter is the length around the shape.
16
Count the numbers of squares inside the shape.
12 cm2
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Count the number of cubes.
15
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
What the 3D shape looks like from the side.
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Scale goes up in ones.
33
Scale goes up in tens.
180
Scale goes up in fives.
Scale goes up in 0.01s.
110
0.27
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
x325
£1 = €1.68
x325
£325 = €546
546
€117 ÷ €1.50 = 78
x78
£1 = €1.50
Multiplier
x78
£78 = €117
78
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
=
8.45
10.24 – 6.51
8.45
3.73
2.2654155
2.26541555
2
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Midpoint
FX
3
45
9
225
15
300
21
252
27
216
1038
80
Total =
Mean =
1038
80
= 13.0 mins (1d.p.)
(Total 3 marks)
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Circumference is the full length around a circle
Diameter
Circumference = π x diameter
Circumference = 3.14 x 8
Circumference = 25.12cm
Length of arc (semi-circle) = 25.12 ÷ 2 = 12.56cm
Perimeter = 12.56cm + 8cm = 20.56cm (2 d.p.)
(Total 3 marks)
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Because
triangle is
isosceles
70°
70°
Angles add up to 180° in a triangle.
y = 180° - 70° - 70°
y = 40°
y = 40°
(Total 2 marks)
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
/
/
/
/
/
/
/
/
/
/
/
/
/
/
/
/
Smallest number = 43
Biggest number = 62
4
3 5 7 7
5
0 3 3 5 6 7 8 8 8
6
1 2 2
5 3 means 53
(Total 3 marks)
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Volume of prism = area of cross-section x length
Volume of prism = area of triangle x length
base x height x length
Volume of prism =
2
4x3
x 20
Volume of prism =
2
Volume of prism = 6 x 20
120
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Kite
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
10:10
14
This is where the line is horizontal:
10:40 to 11:10
30
(1)
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Does not take into account those who do not buy DVDs.
Answer response section overlaps.
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
-2
4
7
y = 3 x -2 + 4 = -2
y=3x0+4 = 4
y=3x1+4 = 7
x
x
x
x
x
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
68°
y = 180° - 68°
112
Alternate angles (Z angles) are the same and angles on a straight line
add up to 180°.
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
𝑥
1
2
1.5
1.8
1.9
1.85
x 3  10 x  25
1 3 + 10 x 1 = 11
2 3 + 10 x 2 = 28
Replace x with 1
1.53 + 10 x 1.5 = 18.38
1.83 + 10 x 1.8 = 23.83
1.93 + 10 x 1.9 = 25.86
1.85 3+ 10 x 1.85 = 24.83
ANSWER = 1.9 (closest to 25)
High or Low
Too low
Too high
Too low
Too low
Too high
Too low
1.9
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Probability adds up to 1.
P(Yellow) = 1 – 0.15 – 0.30 – 0.35
0.2
Red ribbons = 0.30 of 500
x
30
of 500
Red ribbons =
100
÷
150
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Base angles in an isosceles triangle are always the same.
+10
÷2
+10
÷2
20
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
base x height
Area of a triangle =
2
14 x 6
Area of a triangle =
2
42
Have to use Pythagoras’ Theorem. Only works in right-angled triangles
232
15.23
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
=
7 x 20
0.5
=
140
0.5
Dividing by 0.5 is the same as multiplying by 2
280
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
1mph  1.6km / h
LEARN OFF
BY HEART
120mph x 1.6 = 192km/h
Therefore, Car B has a greater maximum speed by 8km/h
(Total 2 marks)
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
H = 2 x 5 + 3 x -1
H = 10 - 3
7
2
P = 3 x (-4)
P = 3 x 16
48
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
FILM A
3
8
=
=
3
8
15
40
31
40
FILM B
40%
40
=
100
2
=
5
2
5
16
+
40
+
FILM C
31
140
9
40
(Total 3 marks)
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
2x5
5cm
= 10cm 2
2 x 7 = 14cm 2
200cm
Density =
2
Total Area = 10cm + 14cm
2
Total Area = 24cm
2
2
Volume = 24cm x 200cm
3
Volume = 4800cm
Mass
Volume
Mass = Density x Volume
Mass = 8 x 4800
38400g
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Area of big circle =
Area of big circle = 3.14 x 6 x 6
Area of big circle = 113.04m 2
Area of small circle =
Area of small circle = 3.14 x 5 x 5
Area of small circle = 78.5m 2
Area of path = 113.04m2 - 78.5m 2
Area of path = 34.45m
2
34.5
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
x
C
Bearings must be written as 3 figures
066
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Large Box
SMALL BOX
÷2
2kg = £1.72
1kg = £0.86
LARGE BOX
÷2
÷9
9kg = £7.65
÷9
1kg = £0.85
Large box is 1p cheaper per kilogram
(Total 3 marks)
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
10% of £360 = £36
5% of £360 = £18
2.5% of £360 = £9
17.5% of £360 = £63
Total cost = £360 + £63
423
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
(-2,6)
y=6
(0,4)
(2,2)
y=4
y=2
(x + y must sum to equal 4)
x
x
x
(Total 3 marks)
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
(Total 2 marks)
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
$322 ÷ $1.84 = 175
x175
£1 = $1.84
Multiplier
x175
£175 = $322
175
Distance
Time
7120
Speed =
8
Speed =
890
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Simplify fully 7x − 2(x − 3y) − 4y
Solve 4x + 1 = 2x + 12
= 7x - 2x + 6y - 4y
=
5x + 2y
Express 72 as a product of its prime factors.
72
8
4
2
Use the information that
322 × 48 = 15 456
to find the value of
(a) 3.22 × 4.8
15.456
.....................................(1)
9
2
3
3
2
ANSWER = 2 X 2 X 2 X 3 X 3
= 2 3
3
2
(b) 0.322 × 0.48
0.15456
.....................................(1)
(c) 15 456 ÷ 4.8
3220
.....................................(1)
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
x5 x5
15
Expand and simplify (y + 4)(y + 5)
= y2 + 4y + 5y + 20
=
y2 + 9y + 20
Solve 4(2x – 3) = 5x + 7
8x – 12 = 5x +7
3x – 12 =
7
3x
= 19
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Work out 3.16 × 68 without a calculator
3
2
1
1
3
0
1
1
6
8
2
1
1
6
6
4
0
4
4
6
8
8
Answer = 214.88
8
8
8
TRANSFORMATIONS EXAM QUESTIONS
Centre of enlargement
A reflection in the line x = -1
Enlargement of scale factor one half
from centre (1,3)
TRANSFORMATIONS EXAM QUESTIONS
TRANSFORMATIONS EXAM QUESTIONS
Rotation of 90° clockwise from
centre (1,1)
On graph
TRANSFORMATIONS EXAM QUESTIONS
R
Q
A reflection in the line y = x
Rotation of 180° from centre (0,0)
TRANSFORMATIONS EXAM QUESTIONS
x=5
5
0
180
5 2.5
1
3
TRANSFORMATIONS EXAM QUESTIONS
-4
1