Free Printable IGCSE Foundation Mathematics

1.

How many cm in one metre?

a)

1

b)

10

c)

100

d)

1000

2.

How many ml in one litre?

a)

1

b)

10

c)

100

d)

1000

3.

How many metres in one kilometre

a)

1

b)

10

c)

100

d)

1000

4.

How many mm in one cm?

a)

1

b)

10

c)

100

d)

1000

5.

How many minutes in one hour?

a)

30

b)

60

c)

90

d)

120

6.

How many minutes in 1.5 hours?

a)

90

b)

110

c)

150

d)

120

7.

What is the value of x when 2x + 4 = 13

a)

4

b)

4.5

c)

5

d)

5.5

8.

Find 0.3 as a fraction in its simplest form

a)

$\frac{1}{3}$

b)

$\frac{30}{100}$

c)

$\frac{2}{3}$

d)

$\frac{3}{10}$

9.

Ben and Holly share £45 in the ratio 1:8. How much does Holly get?

a)

5

b)

40

c)

9

d)

45

10.

What is the value of -5 -7

a)

12

b)

2

c)

-2

d)

-12

11.

Find the value of $4^3$

a)

12

b)

16

c)

64

d)

128

12.

Simplify 2a - 3b + 4a - 5b

a)

6a + 8b

b)

6a - 8b

c)

6a8b

d)

8a - 6b

13.

What is the median of the numbers 2, 2, 3, 9 ?

a)

7

b)

4

c)

2.5

d)

2

14.

Which expression means 'four more than n'

a)

4n

b)

n + 4

c)

n > 4

d)

4 > n

15.

What is the nth term of this arithmetic sequence : 5, 13, 21, 29...

a)

8n - 3

b)

8n + 3

c)

3n - 8

d)

3n +8

16.

What is the area of this triangle?

a)

17cm²

b)

20cm²

c)

30cm²

d)

60cm²

17.

What is the length of the hypotenuse?

a)

17 cm

b)

12.1 cm

c)

12.8 cm

d)

13 cm

18.

Solve the equation 2n + 3 = 23

a)

n = 1

b)

n = 10

c)

n = 11

d)

n = 13

19.

What is the single transformation from shape A to shape B?

a)

Rotation 90^o clockwise, centre (3, 3)

b)

Rotation 90^o anti-clockwise, centre (3, 3)

c)

Reflection in the line x = 3

d)

Reflection in the line y = x

20.

What is 257.483 rounded to 2 significant figures?

a)

257.48

b)

257

c)

250

d)

260

21.

Order the decimals from smallest to largest - which is correct?

a)

0.3, 0.17, 0.25, 0.165

b)

0.165, 0.17, 0.25, 0.3

c)

0.17, 0.25, 0.3, 0.165

d)

0.165, 0.3, 0.17, 0.25

22.

What is the combined area of the two rectangles?

a)

60 cm²

b)

120 cm²

c)

30 cm²

d)

48 cm²

23.

Name the part shown in the given circle.

a)

Radius

b)

Tangent

c)

Circumference

d)

Segment

24.

What is the formula for the area of a circle?

a)

2 π r

b)

π d

c)

π d²

d)

π r²

25.

Name the part shown in the given circle.

a)

Sector

b)

Chord

c)

Segment

d)

Circumference

26.

How would you calculate the speed for a car that went a distance of 125 kilometers in 2 hours time?

a)

125 ÷ 2

b)

125 × 2

c)

2 ÷ 125

d)

2 +125

27.

Name the part shown in the given circle.

a)

Radius

b)

Chord

c)

Circumference

d)

Diameter

28.

What is the nth term of this arithmetic sequence : 5, 13, 21, 29...

a)

8n - 3

b)

8n + 3

c)

3n - 8

d)

3n +8

29.

How do you find surface area?

a)

add all the sides

b)

find the area of each side, them add them up

c)

find the perimeter of all sides and add together

d)

Half the height and then add the bases together

30.

Name the part shown in the given circle.

a)

Circumference

b)

Tangent

c)

Sector

d)

Radius

31.

Which expression means 'four more than n'

a)

4n

b)

n + 4

c)

n > 4

d)

4 > n

32.

Name the part shown in the given circle.

a)

Segment

b)

Sector

c)

Diameter

d)

Radius

33.

Name the part shown in the given circle.

a)

Chord

b)

Radius

c)

Tangent

d)

Segment

34.

What is the formula for the perimeter of a circle? Select all that apply.

a)

2 π r

b)

π d

c)

π d²

d)

π r²

35.

Name the part shown in the given circle.

a)

Diameter

b)

Segment

c)

Circumference

d)

Radius

36.

Simplify a x a x a + b+ b

a)

3a + 2b

b)

a³b²

c)

a³ + b²

d)

a³ + 2b

37.

How many minutes are there in 3.5 hours?

a)

180.5

b)

210

c)

330

d)

350

38.

An angle more than 90° and less than 180° is?

a)

obtuse

b)

acute

c)

reflex

d)

blunt

39.

Which of these isn't a synonym for subtract?

a)

take away

b)

minus

c)

deduct

d)

divide

40.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

41.

What is 2⁵?

a)

10

b)

25

c)

32

d)

64

42.

Which of these numbers are square numbers?

a)

16

b)

20

c)

36

d)

81

43.

what are the first 5 prime numbers in ascending order?

a)

2,3,4,5,11

b)

1,2,3,5,11

c)

2,3,5,7,11

d)

2,3,11,7,5

44.

Find the HCF of 12 and 16...

a)

2

b)

4

c)

6

d)

8

45.

Which is the only prime number that is even?

a)

14

b)

22

c)

17

d)

2

46.

What do we call this object below?

a)

Net

b)

Triangle

c)

Geometry

d)

y = mx + b

47.

Evaluate
√36

a)

6

b)

-9

c)

18

d)

-18

48.

What is the definition of an integer

a)

All positive and negative whole numbers

b)

Decimals or fractions that terminate for repeat

c)

All positive whole numbers

d)

0

49.

How many meters in a kilometer?

a)

10

b)

20

c)

100

d)

1000

50.

8 meters = _____ cm

a)

80 cm

b)

800 cm

c)

8000 cm

d)

80,000 cm

51.

2.5 kilograms = _____ grams

a)

2500 g

b)

250 g

c)

25,000 g

d)

25 g

52.

What is the formula for calculating the Area of a Triangle?

a)

$Base\ \times Height$

b)

$\left(Base\ \times Height\right)\ \times2$

c)

$\frac{1}{2}\left(Base\ \times Height\right)\ or\ \left(Base\ \times Height\right)\div2$

d)

$Base\ +Height\ +Depth$

53.

Find the Area of this triangle

a)

19.8 km²

b)

37.8 km²

c)

18.9 km²

d)

35 km²

54.

What is the area of the following shape?

a)

29.58 m

b)

14.79 m

c)

13.1 m

d)

58.73 m

55.

What is the area of the shaded region?

a)

14 m²

b)

120 m²

c)

106 m²

d)

134 m²

56.

Find the volume of the figure?

a)

4003 cm³

b)

336 cm³

c)

36 cm³

d)

412 cm³

57.

What is the surface area of this figure?

a)

200 cm ²

b)

800 cm ²

c)

400 cm ²

d)

100 cm ²

58.

Find the perimeter of the rectangle.

a)

3x + 7

b)

6x + 14

c)

18x + 6

d)

18x + 6

59.

The area of the Rectangle is $40cm^2$

Work out the area of the Triangle.

(a)

60.

The diagram shows a sand pit. Sally wants to fill the sand pit with sand.
A bag of sand costs £2.50. There are 8 litres of sand in each bag.
How much will it cost?

$1000cm^2\ =1\ Litre$

(a)

61.

Angie is going to varnish the floor.

She needs 1 litre of varnish for 5m² of floor.

There are 2.5 litres of varnish in each tin of varnish.

How many tins of varnish does she need?

(a)

62.

Which of these shapes has the most sides?

a)

Hexagon

b)

Octagon

c)

Rhombus

d)

Trapezium

63.

Solve x - 3 = 0

a)

x = -3

b)

x = 0

c)

x = 0.333....

d)

x = 3

64.

Which is the most suitable for measuring the length of a tennis court?

a)

kilometres

b)

metres

c)

centimetres

d)

millimetres

65.

Which is the multiple of both 8 and 12?

a)

4

b)

32

c)

72

d)

108

66.

Which is the correct statement?

a)

-4 < -3

b)

1 > 2

c)

-6 > 5

d)

-1 > 0

67.

Which is the lowest temperature?

a)

-4.9^oC

b)

0^oC

c)

-7^oC

d)

0.1^oC

68.

What is 20% of 60?

a)

20

b)

6

c)

12

d)

15

69.

What is 3/5 as a percenatge?

a)

20

b)

40

c)

60

d)

80

70.

Which is the biggest?

a)

3/4

b)

0.7

c)

72/100

d)

73%

71.

What is 207.3347 to 2 decimal places

a)

207.03

b)

207.335

c)

207.34

d)

207.33

72.

I use 450g of flour for every 50g of sugar to make a cake. Can you write this as a ratio in its simplest form

a)

4:1

b)

450:50

c)

7:2

d)

9:1

73.

True or False: The Median is the middle number in a sorted list of numbers

a)

True

b)

False

74.

-2 + - 4

a)

6

b)

-6

c)

2

d)

-2

75.

3 7 11 15 19 What is the nth term?

a)

4n

b)

-1n + 4

c)

4n - 1

d)

4n + 1

76.

How many miles is 64km?
Hint: 5miles = 8km

a)

30 Miles

b)

35 Miles

c)

40 Miles

d)

64 Miles

77.

Solve the equation 2n + 3 = 23

a)

n = 1

b)

n = 10

c)

n = 11

d)

n = 13

78.

What is the perimeter of a square that has length 5cm?

a)

25cm²

b)

25cm

c)

20cm

d)

20

79.

How would you write 100,361?

a)

One million, three hundred and sixty one

b)

One thousand, three hundred and sixty one

c)

One hundred thousand, three hundred and sixty one

d)

One hundred and three thousand, and sixty one

80.

Mrs Loy bought a loaf of bread as shown. which one of the following could be the mass of the loaf of bread?

a)

4 g

b)

40 g

c)

4000 g

d)

400 g

81.

“ Three million forty three thousand and eighty five ” written in numerals is

a)

3 043 085

b)

3 340 085

c)

3 430 850

d)

3 304 580

82.

Among the following numbers, which is the even number?

a)

11

b)

15

c)

16

d)

17

83.

24 135 + 6191 x 25

a)

154 775

b)

178 910

c)

155 757

d)

187 910

84.

Amani has 1 240 marbles. She gives 200 marbles to Haikal. She divides the balance equally into 8 containers.

What is the total number of marbles in 5 containers?

a)

130

b)

155

c)

650

d)

1040

85.

Hassan has 380 piece of stamps. 30% of the total stamps are local stamps and the balance are foreign stamps. How many foreign stamps does Hassan have?

a)

266

b)

144

c)

133

d)

77

86.

$How\ many\ meters\ are\ \frac{3}{5}\ \ of\ 350?$

a)

$180\ m$

b)

$210\ m$

c)

$230\ m$

d)

$270\ m$

IGCSE Foundation Mathematics

Total questions: 86

Worksheet time: 1hrs 28mins

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