GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Perimeter is the length around the shape. 16
Count the numbers of squares inside the shape.
12cm2
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
110Scale goes up in fives.
0.27Scale goes up in 0.01s.
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
£1 = €1.68x325 x325
£325 = €546
546
£1 = €1.50x78 x78
£78 = €117
€117 ÷ €1.50 = 78 Multiplier
78
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
8.4510.24 – 6.51
=8.453.73
2.26541555
2.2654155 2
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Midpoint
3
9
15
21
27
FX
45
225
300
252
216
Total = 80 1038
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
Circumference = π x diameter
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
70°
70°
Because triangle is isosceles
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
4
5
6
Smallest number = 43 Biggest number = 62
3
/
5
/
7
/
7
/
0
/
3
/
3
/
5
/
6
/
7
/
8
/
8
/
8
/
1
/
2
/
2
/
5 /3 means 53
(Total 3 marks)
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Volume of prism = area of cross-section x lengthVolume of prism = area of triangle x length
Volume of prism = base x height 2
x length
Volume of prism = 4 x 3
2x 20
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
y = 3 x -2 + 4 = -2 -2
y = 3 x 0 + 4 = 4
4
y = 3 x 1 + 4 = 7
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 High or Low1 1 + 10 x 1 = 113
25103 xx
Replace x with 1
Too low
2 2 + 10 x 2 = 283 Too high
1.5 1.5 + 10 x 1.5 = 18.38 3 Too low
1.8 1.8 + 10 x 1.8 = 23.83 3 Too low
1.9 1.9 + 10 x 1.9 = 25.86 3 Too high1.85 1.85 + 10 x 1.85 = 24.83 3 Too low
ANSWER = 1.9 (closest to 25)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
Red ribbons = of 500 30 100
÷
x
150
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Base angles in an isosceles triangle are always the same.
+10 +10
÷2 ÷2
20
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
base x height 2Area of a triangle =
Area of a triangle = 14 x 6 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
hkmmph /6.11 LEARN OFF BY HEART
(Total 2 marks)
120mph x 1.6 = 192km/h
Therefore, Car B has a greater maximum speed by 8km/h
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
H = 2 x 5 + 3 x -1H = 10 - 3
7
P = 3 x (-4)2
P = 3 x 16
48
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
(Total 3 marks)
FILM A FILM B
8 3
=
40%
100 40
= 5
2
8 3
5 2 +
= 40 15
40 16 +
= 40 31
FILM C
1 - 40 31
40 9
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Mass Volume
Density =
Mass = Density x Volume
5cm2 x 5= 10cm2
2 x 7 = 14cm 2 Total Area =10cm + 14cm2 2
Total Area = 24cm 2
200cm Volume = 24cm x 200cm2
Volume = 4800cm 3
Mass =
38400g
8 x 4800
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Area of big circle =Area of big circle = 3.14 x 6 x 6Area of big circle = 113.04m2
Area of small circle =Area of small circle = 3.14 x 5 x 5Area of small circle = 78.5m2
Area of path = 113.04m -2 78.5m2
Area of path = 34.45m 2
34.5
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
066Bearings must be written as 3 figures
xC
(Total 3 marks)
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
2kg = £1.72÷2 ÷2
1kg = £0.86
SMALL BOX LARGE BOX
9kg = £7.65÷9 ÷9
1kg = £0.85
Large box is 1p cheaper per kilogram
Large Box
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
(Total 3 marks)
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
y = 6 (x + y must sum to equal 4)
y = 4 y = 2
(-2,6)
(0,4)(2,2)
x
x
x
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
(Total 2 marks)
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
£1 = $1.84x175 x175
£175 = $322
$322 ÷ $1.84 = 175 Multiplier
175
Distance Time
Speed =
87120
Speed =
890
Simplify fully 7x − 2(x − 3y) − 4y Solve 4x + 1 = 2x + 12
Express 72 as a product of its prime factors.
Use the information that322 × 48 = 15 456to find the value of(a) 3.22 × 4.8.....................................(1)
(b) 0.322 × 0.48.....................................(1)
(c) 15 456 ÷ 4.8.....................................(1)
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
- 2x = 7x + 6y - 4y
= 5x + 2y
72
8 9
4 2 3 3
2 2
ANSWER = 2 X 2 X 2 X 3 X 3
=23 32
15.456
0.15456
3220
Expand and simplify (y + 4)(y + 5)
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
x5 x5
Solve 4(2x – 3) = 5x + 7
15
+ 4y = + 5y + 20 y2
+ 9y = + 20 y2
8x – 12 = 5x +73x – 12 = 73x = 19
3 1 6
6
8
1
8
0
6
3
6
2
4
8
0
8
4
8
8
1
4
11
12
GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS
Work out 3.16 × 68 without a calculator
Answer = 214.88
TRANSFORMATIONS EXAM QUESTIONS
A reflection in the line x = -1
Centre of enlargement
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
A reflection in the line y = x
QR
Rotation of 180° from centre (0,0)
TRANSFORMATIONS EXAM QUESTIONS
TRANSFORMATIONS EXAM QUESTIONS
x = 5
5
0
180 5 2.5
1 3
-41
TRANSFORMATIONS EXAM QUESTIONS