Free Printable GCSE Foundation Introduction

1.

Convert 150 mm into cm.

a)

1.5 cm

b)

15 cm

c)

150 cm

d)

0.15 cm

2.

Which shaded Venn diagram shows A ∩ B, the intersection of sets A and B?

a)

Only the part of A outside B shaded

b)

Everything in the rectangle shaded

c)

All of A and B regions shaded

d)

Only the overlapping region shaded

3.

Simplify the expression h × h × h × h.

a)

$4h^4$

b)

4h

c)

$h^4$

4.

A family has 3 dogs, 2 cats, and 5 rabbits. One pet is chosen at random. What is the probability of selecting a cat?

a)

2/10

b)

2/8

c)

2/9

d)

2/7

5.

On the grid, shape 1 is a rectangle three squares long and one square high. Which labeled shape is congruent to shape 1?

a)

Shape A, same dimensions

b)

Shape B, larger rectangle

c)

Shape C, wider rectangle

6.

Given a = 4, b = 3, c = −2, evaluate P = $a^2 + 5b$ .

a)

P = 16 + 15, so 31

b)

P = 4 + 15, so 19

c)

P = 16 + 10, so 24

d)

P = 8 + 15, so 23

7.

Simplify the expression $4m^5 + 6m^5 + 5m^5$ .

a)

14m^5

b)

15m^5

c)

$16m^5$

d)

15m^10

8.

A bag has 5 red, 3 yellow, and 4 green counters. One counter is chosen at random. What is the probability of selecting a red counter?

a)

5/9

b)

4/12

c)

3/12

d)

5/12

9.

A bag has 4 milk, 3 dark, and 2 white chocolates. One chocolate is chosen at random. What is the probability of not getting a milk chocolate?

a)

2/9

b)

4/9

c)

5/9

d)

3/9

10.

For the function y = 2x + 3, what is the output when x = −2?

a)

−5

b)

−2

c)

−1

d)

−3

11.

Which shaded Venn diagram correctly represents A ∪ B (elements in A or B or both)?

a)

Both circles fully shaded

b)

Only the areas outside both circles shaded

c)

Only circle A shaded

d)

Only the overlapping region shaded

12.

For the function y = 2x + 1, the table shows x values −3, −2, −1, 0, 1, 2, 3. What is the corresponding y-value when x = −3?

a)

y = −7

b)

y = −5

c)

y = −6

d)

y = −4

13.

Two straight lines intersect. One angle at the intersection is marked 74°. The vertically opposite angle is labeled a. What is the value of angle a?

a)

a = 254°

b)

a = 180°

c)

a = 74°

d)

a = 106°

14.

Simplify the product e × f × f × f. Which expression is equivalent?

a)

3e f

b)

e f^3

c)

e^3 f

d)

e f f f

15.

Lucie has x counters. Ant has half as many as Lucie. Which expression represents Ant’s amount?

a)

A = 2x

b)

A = L ÷ 2

c)

A = L − 2

d)

A = x ÷ 2

16.

A function is y = 4x − 5. What is the output when x = 2?

a)

y = 3

b)

y = 8

c)

y = 11

d)

y = −13

17.

Given a = 4, b = 3, c = −2, evaluate P = 10a − 3c.

a)

P = 34

b)

P = 10

c)

P = 46

d)

P = 26

18.

How many minutes are in one and a quarter hours?

a)

120 minutes total

b)

75 minutes total

c)

115 minutes total

d)

90 minutes total

19.

A stir fry recipe serves 4 and uses 5 carrots. How many carrots are needed to serve 6 people, assuming proportional scaling?

a)

10 carrots for six people

b)

7 carrots for six people

c)

8 carrots for six people

d)

6 carrots for six people

20.

A map uses a scale factor of 1:4, meaning 1 cm on the map represents 4 cm in reality. If a garden wall is 2.5 m long in reality, what length should it be on the map?

a)

60 centimeters on the map

b)

62.5 centimeters on the map

c)

62.5 millimeters on the map

d)

625 millimeters on the map

21.

Identify, how many significant figures does the following number have?

408

(a)

22.

How many significant figures are there in 10.020 moles?

a)

2

b)

3

c)

4

d)

5

23.

Write 1/3 as a decimal.

a)

0.333...

b)

1.3

c)

1.333...

d)

0.13

24.

Write 1/4 as a decimal.

a)

0.25

b)

0.4

c)

0.14

d)

1.4

25.

How many grams are there in 1 kilogram?

a)

100 grams

b)

1,000 grams

c)

10 grams

26.

How many kiloliters are there in 6,000 liters?

a)

6 kiloliters

b)

60 kiloliters

c)

600 kiloliters

27.

How many centimeters are there in 3 meters?

a)

30 centimeters

b)

300 centimeters

c)

3,000 centimeters

28.

Are 0 and 1 prime numbers?

a)

yes

b)

no

29.

What is the first prime number?

a)

1

b)

2

c)

3

d)

5

30.

15% can be written as the following decimal and fraction...

a)

0.15, 150/100

b)

0.15, 15/100

c)

0.15, 15/10

d)

1.5, 15/100

31.

Solve for $3^2$

(a)

32.

Solve for $2^{2\ }$ $+$ $3^2$

(a)

33.

What is the solution of the equation?
8 = x + 1

a)

9

b)

7

c)

6

d)

8

34.

Solve the equation:
x + 7 = 12

a)

x = 5

b)

x = 19

c)

x = 4

d)

x = 84

35.

The tour of the art museum started at 9:35 am. It lasted 1 hour 20 minutes. What time did the tour end?

a)

9:55 am

b)

10:35 am

c)

10:45 am

d)

10:55 am

36.

The plumber began to fix the leaky sink at 1:45 He worked on it for 1 hour 45 minutes. What time did the plumber finish the job?

a)

2:45 pm

b)

3:00 pm

c)

3:20 pm

d)

3:30 pm

37.

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the MODE.

12,10,10,10,13,12,11,13,10

a)

10

b)

12

c)

10 and 12

d)

No Mode

38.

What is the range?

a)

average

b)

biggest-smallest

c)

the middle #

d)

# happening the most

39.

What is the median?

a)

biggest- smallest

b)

average

c)

the middle #

d)

# that happens the most

40.

Find the mean of these numbers:
4,2,5,6,3

a)

2

b)

5

c)

4

d)

6

41.

Multiply 2/6 x 3/5

a)

1/5

b)

1 / 1

c)

1 / 6

d)

0

42.

Solve.
3/5 + 1/4 =

a)

5/20

b)

12/20

c)

7/20

d)

17/20

43.

Change 372cm into metres

a)

3720m

b)

3.72m

c)

37.2m

d)

37200m

44.

Change 8.4kg into grams

a)

840g

b)

8.4g

c)

8400g

d)

84g

45.

Convert 750ml into litres

a)

7.5L

b)

75L

c)

0.75L

d)

7500L

46.

Work out 2 + 3 x 6

a)

18

b)

5

c)

30

d)

20

47.

Work out 3 + 2 x 4 + 6

a)

9

b)

50

c)

17

d)

60

48.

Solve $\frac{y}{2}=10$

a)

20

b)

5

c)

2.5

d)

40

49.

Solve $\frac{x}{3}=12$

a)

4

b)

15

c)

36

d)

9

50.

Janice drives for 4 hours at an average speed of 35mph. How far does Janice drive?

a)

60 miles

b)

70 miles

c)

100 miles

d)

140 miles

51.

Ross travels at 6mph for 30 minutes. How far does Ross travel?

a)

1 miles

b)

2 miles

c)

3 miles

d)

4 miles

52.

Solve $3x=17$

a)

$x=5$

b)

$x=\frac{17}{3}$

c)

$x=\frac{3}{17}$

d)

$x=5\frac{2}{3}$

53.

Expand:

$3\left(x-2\right)$

a)

$3x-6$

b)

$3x+6$

c)

$3x-2$

d)

$3x+2$

54.

Expand:

$\left(x+2\right)\left(x+3\right)$

a)

$2x+3x$

b)

$x^2+6x+5$

c)

$x^2+6$

d)

$x^2+5x+6$

55.

Find the correct formula for speed

a)

$S=\frac{T}{D}$

b)

$S=\frac{D}{T}$

c)

$S=D\ \times T$

d)

$S=T\times D$

56.

Find the correct formula for density

a)

$D=\frac{M}{V}$

b)

$D=\frac{V}{M}$

c)

$D=M\times V$

d)

$D=V\times M$

57.

Find the square root of 81

a)

6

b)

7

c)

8

d)

9

58.

Find $3^3$

a)

3

b)

9

c)

27

d)

1

59.

Find $2^3$

a)

8

b)

6

c)

2

d)

0

60.

Find the reciprocal of 12

a)

$\frac{12}{1}$

b)

$\frac{1}{21}$

c)

$\frac{1}{12}$

d)

0.12

61.

A circle has a radius of 3cm. Find the area of the circle in terms of $\pi$

a)

$9\pi$

b)

$3\pi$

c)

$6\pi$

d)

$3\pi^2$

62.

A cube has a length of 5cm. Find the volume of the cube.

a)

$25cm^3$

b)

$150cm^2$

c)

$125cm^3$

d)

$5cm^2$

63.

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

a)

6a + 8b

b)

6a - 8b

c)

6a8b

d)

8a - 6b

64.

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

a)

7

b)

4

c)

2.5

d)

2

65.

Which expression means 'four more than n'

a)

4n

b)

n + 4

c)

n > 4

d)

4 > n

66.

What is the reciprocal of 5?

a)

5

b)

0.5

c)

-5

d)

1/5

67.

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

68.

What is the area of this triangle?

a)

17cm²

b)

20cm²

c)

30cm²

d)

60cm²

69.

What is the length of the hypotenuse?

a)

17 cm

b)

12.1 cm

c)

12.8 cm

d)

13 cm

70.

Solve the equation 2n + 3 = 23

a)

n = 1

b)

n = 10

c)

n = 11

d)

n = 13

71.

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

72.

What is 257.483 rounded to 2 decimal places?

a)

257.5

b)

257.49

c)

257.48

d)

257.50

73.

What is 257.483 rounded to 2 significant figures?

a)

257.48

b)

257

c)

250

d)

260

74.

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

75.

How big is angle a?

a)

70^o

b)

30^o

c)

50^o

d)

80^o

76.

Which maths word means 'identical' when comparing shapes?

a)

similar

b)

equilateral

c)

congruent

d)

invariant

77.

What is the combined area of the two rectangles?

a)

60 cm²

b)

120 cm²

c)

30 cm²

d)

48 cm²

78.

Expand and simplify: 5(y + 3)

a)

5y + 3

b)

8y

c)

5y + 15

d)

5y + 15y

79.

Expand and simplify: 9(s − 1)

a)

9s - 8

b)

9s - 9

c)

1s

d)

9s + 9

80.

Expand and simplify: 7(9 − 2c)

a)

63 - 5c

b)

14c - 63

c)

16 - 14c

d)

63 - 14c

81.

Expand and simplify: 9(1 − 4p)

a)

9 - 3p

b)

9 - 36p

c)

36p - 9

d)

8 - 5p

82.

Expand and simplify: 5x(y + 8)

a)

5xy + 40

b)

5xy + 13x

c)

5xy + 40x

d)

5x + 40xy

83.

Expand and simplify: a(b + c)

a)

bc + ac

b)

ab + ac

c)

ab + c

d)

b + c

84.

Expand and simplify: y(y − 5)

a)

y²-5y

b)

y - 5y

c)

y² - y

d)

y² + 5y

85.

Expand and simplify: 4(2x + 5)

a)

8x + 5

b)

8x + 20

c)

4x + 10

d)

8x + 10

86.

Expand and simplify: 3(a - 7)

a)

3a - 21

b)

3a + 21

c)

3a - 7

d)

3a + 7

87.

Expand and simplify: 6(m + 4n)

a)

6m + 4n

b)

6m + 24n

c)

6m + 10n

d)

6m + 4n + 24

88.

Expand and simplify: m(m² + 3)

a)

m³ + 3m

b)

m² + 3m²

c)

m³ + 3m²

d)

m² + 3m

89.

5c(3c² − a)

a)

15c² - 5a

b)

15c³ - 5ac

c)

5c(3c² + a)

d)

10c³ + 5ac

90.

Expand and simplify: x²(x² + 4)

a)

x⁴ + 4x²

b)

x⁴ + 4x

c)

x² + 4

d)

x⁴ + 2x²

91.

5c(3c² − a)

a)

5c(3c² - 2a)

b)

15c³ - 5ac

c)

15c² - 5a

d)

5c(3c² + a)

92.

Expand and simplify: 5(y + 3) + 2(y + 7)

a)

6y + 25

b)

5y + 20

c)

8y + 30

d)

7y + 29

93.

Expand and simplify: 3(y − 2) + 4(2y + 5)

a)

5y + 10

b)

11y + 14

c)

6y + 7

d)

2y + 3

94.

Expand and simplify: 6(x − 2) − 4(x − 8)

a)

2x + 20

b)

10x - 20

c)

2x - 4

d)

6x - 36

95.

Expand and simplify: w(w + 5) + w(w + 7)

a)

2w² + 10w

b)

w² + 12w + 35

c)

w² + 6w + 5

d)

2w² + 12w

96.

Expand and simplify: 10(a + 2b + 3c)

a)

10a + 12b + 15c

b)

5a + 10b + 15c

c)

10a + 25b + 30c

d)

10a + 20b + 30c

97.

Expand and simplify: −5(6 − c)

a)

-30 + c

b)

-5c + 30

c)

-5(6 + c)

d)

5c - 30

98.

What is the area of a rectangle with a length of 8 cm and a width of 5 cm?

a)

13 cm²

b)

40 cm²

c)

26 cm²

d)

45 cm²

99.

A triangle has angles of 35° and 75°. What is the measure of the third angle?

a)

70°

b)

80°

c)

90°

d)

60°

100.

What is the perimeter of a square whose side length is 6 cm?

a)

12 cm

b)

24 cm

c)

18 cm

d)

36 cm

101.

Identify the geometric shape that has exactly one pair of parallel sides.

a)

Square

b)

Rectangle

c)

Trapezoid

d)

Circle

102.

What is the area of a parallelogram with a base of 10 cm and a height of 7 cm?

a)

17 cm²

b)

70 cm²

c)

35 cm²

d)

100 cm²

103.

A circle has a radius of 4 cm. What is its circumference? (Use $\pi \approx 3.14$ )

a)

25.12 cm

b)

12.56 cm

c)

50.24 cm

d)

8 cm

104.

What is the sum of the interior angles of a pentagon?

a)

540°

b)

360°

c)

720°

d)

180°

105.

A rhombus has diagonals of 10 cm and 8 cm. What is its area?

a)

40 cm $^2$

b)

80 cm $^2$

c)

20 cm $^2$

d)

60 cm $^2$

106.

If a triangle has sides of 3 cm, 4 cm, and 5 cm, what type of triangle is it?

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Right

107.

What is the perimeter of an equilateral triangle with a side length of 5 cm?

a)

10 cm

b)

15 cm

c)

20 cm

d)

25 cm

108.

A rectangle has a length of 12 cm and a width of 3 cm. What is its perimeter?

a)

30 cm

b)

15 cm

c)

24 cm

d)

48 cm

109.

What is the area of a circle with a diameter of 8 cm? (Use $\pi \approx 3.14$ )

a)

50.24 cm $^2$

b)

25.12 cm $^2$

c)

100.48 cm $^2$

d)

200.96 cm $^2$

110.

A trapezoid has bases of 8 cm and 5 cm, and a height of 4 cm. What is its area?

a)

26 cm $^2$

b)

52 cm $^2$

c)

13 cm $^2$

d)

39 cm $^2$

111.

What is the measure of each interior angle of a regular hexagon?

a)

120°

b)

135°

c)

150°

d)

180°

112.

If a circle has a circumference of 31.4 cm, what is its radius? (Use $\pi \approx 3.14$ )

a)

5 cm

b)

10 cm

c)

7.5 cm

d)

2.5 cm

113.

What is the area of a trapezoid with bases of 10 cm and 6 cm, and a height of 5 cm?

a)

40 cm²

b)

80 cm²

c)

60 cm²

d)

20 cm²

114.

A square and a circle have the same perimeter. If the side of the square is 8 cm, what is the radius of the circle? (Use $\pi \approx 3.14$ )

a)

4 cm

b)

6.4 cm

c)

5.09 cm

d)

2.55 cm

115.

What is the sum of the exterior angles of any polygon?

a)

180°

b)

360°

c)

540°

d)

720°

116.

A designer is planning a unique garden path using regular octagonal tiles. One of the exterior angles of the tiles measures 45°. If the designer wants the total length of the path to be 72 cm, what should be the length of one side of each tile?

a)

8 cm

b)

9 cm

c)

10 cm

d)

12 cm

117.

What is the area of a sector of a circle with a radius of 7 cm and a central angle of 90°? (Use $\pi \approx 3.14$ )

a)

38.465 cm $^2$

b)

76.93 cm $^2$

c)

15.385 cm $^2$

d)

30.77 cm $^2$

118.

Solve the equation $3x - 7 = 11$ .

a)

$x = 6$

b)

$x = 4$

c)

$x = 5$

d)

$x = 9$

119.

What is 25% of 80?

a)

15

b)

20

c)

25

d)

30

120.

Simplify the fraction $\frac{18}{24}$ .

a)

$\frac{3}{4}$

b)

$\frac{2}{3}$

c)

$\frac{5}{8}$

d)

$\frac{9}{12}$

121.

The perimeter of a rectangle is 50 meters. If the length is 15 meters, what is the width?

a)

10 meters

b)

15 meters

c)

20 meters

d)

25 meters

122.

If $x + 3 = 10$ , what is the value of $2x$ ?

a)

14

b)

16

c)

18

d)

20

123.

Calculate 15% of 200.

a)

25

b)

30

c)

35

d)

40

124.

Reduce the fraction $\frac{45}{60}$ to its simplest form.

a)

$\frac{3}{4}$

b)

$\frac{2}{3}$

c)

$\frac{5}{8}$

d)

$\frac{9}{12}$

125.

A triangle has angles measuring 35 degrees and 65 degrees. What is the measure of the third angle?

a)

70 degrees

b)

80 degrees

c)

90 degrees

d)

100 degrees

126.

Solve for $x$ in the equation $5x + 3 = 2x + 18$ .

a)

$x = 3$

b)

$x = 5$

c)

$x = 7$

d)

$x = 9$

127.

What is $\frac{2}{3}$ of 90?

a)

50

b)

60

c)

70

d)

80

128.

If the area of a square is 64 square meters, what is the length of one side?

a)

6 meters

b)

8 meters

c)

10 meters

d)

12 meters

129.

The graph of $y = 2x + 1$ passes through which of the following points?

a)

(0,1)

b)

(1,3)

c)

(2,5)

d)

All of the above

130.

What is 50% of 120?

a)

50

b)

60

c)

70

d)

80

131.

Simplify the expression $2(x - 3) + 4x$ .

a)

$6x - 6$

b)

$6x + 6$

c)

$6x - 3$

d)

$6x + 3$

132.

A line graph shows the temperature from 10 AM to 5 PM. If the temperature at 10 AM is 20°C and it increases by 2°C every hour, what is the temperature at 1 PM?

a)

22°C

b)

24°C

c)

26°C

d)

28°C

133.

What is 75% of 200?

a)

100

b)

150

c)

175

d)

200

134.

If the volume of a cube is 27 cubic meters, what is the length of one side?

a)

2 meters

b)

3 meters

c)

4 meters

d)

5 meters

135.

Simplify the expression $4(x + 2) - 3x$ .

a)

$x + 8$

b)

$x + 2$

c)

$7x + 8$

d)

$x - 2$

136.

If a rectangle has a length of 8 meters and a width of 3 meters, what is its area?

a)

11 square meters

b)

24 square meters

c)

15 square meters

d)

18 square meters

137.

A car travels 150 kilometers in 3 hours. What is the average speed of the car in kilometers per hour?

a)

30 km/h

b)

40 km/h

c)

50 km/h

d)

60 km/h

138.

What is the value of $x$ if $3x - 9 = 15$ ?

a)

$x = 4$

b)

$x = 6$

c)

$x = 8$

d)

$x = 10$

139.

What is 10% of 150?

a)

10

b)

15

c)

20

d)

25

140.

Calculate the area of a triangle with a base of 10 meters and a height of 5 meters.

a)

20 square meters

b)

25 square meters

c)

30 square meters

d)

50 square meters

141.

If $x - 4 = 6$ , what is the value of $3x$ ?

a)

18

b)

24

c)

30

d)

36

142.

$\sqrt{144\ }\ =$

(a)

143.

$4^{3\ \ }=$

(a)

144.

∛8 =

(a)

145.

$10^{3\ \ }=$

(a)

146.

$\sqrt{49\ }\ \times3^{2\ }=$

(a)

147.

$3^{2\ \ }\times\ 5^{2\ }=$

(a)

148.

$\sqrt{324}\ +\ 4^4\ =$

(a)

149.

What is 7³in expanded form?

a)

343

b)

7 x 7 x 7

c)

2041

d)

7³

150.

In the expression 2⁵, what is the BASE?

a)

2

b)

5

151.

What is equivalent to 6⁴?

a)

6×6×6

b)

4×6

c)

6×6×6×6

d)

4⁶

152.

4 x 2²- 1 x 3²

a)

108

b)

36

c)

7

d)

55

153.

Simplify and solve: 3³ - 2³=

a)

27 - 8

b)

19

c)

20

d)

35

154.

Between what two integers is the square root of 44?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

155.

Estimate the value of √30 to the nearest tenths place.

a)

4.8

b)

5.5

c)

6.5

d)

7.2

156.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

157.

James' 70 cm giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

a)

70 x 2³⁵

b)

70 x 2⁵

c)

2 x 70⁵

d)

5 x 70²

158.

Identify the formula used to solve for the hypotenuse?

a)

a²+b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c-a=c

159.

Identify the hypotenuse.

a)

x

b)

z

c)

w

160.

Calculate the length of x?

a)

5

b)

7

c)

8

d)

25

161.

solve for c

a)

7

b)

9

c)

4

d)

13

162.

To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?

a)

35

b)

22

c)

58

d)

75

163.

What is the sum of $\frac{3}{4}$ and $\frac{2}{5}$ ?

a)

$\frac{5}{9}$

b)

$\frac{23}{20}$

c)

$\frac{19}{20}$

d)

$\frac{29}{20}$

164.

Calculate the difference between $\frac{7}{8}$ and $\frac{1}{3}$ .

a)

$\frac{13}{24}$

b)

$\frac{5}{24}$

c)

$\frac{11}{24}$

d)

$\frac{17}{24}$

165.

Find the average of the numbers: 12, 15, 18, 21, and 24.

a)

18

b)

17

c)

19

d)

20

166.

Multiply $\frac{5}{6}$ by $\frac{2}{3}$ .

a)

$\frac{10}{18}$

b)

$\frac{5}{9}$

c)

$\frac{1}{2}$

d)

$\frac{10}{9}$

167.

Divide $\frac{7}{10}$ by $\frac{2}{5}$ .

a)

$\frac{7}{4}$

b)

$\frac{14}{10}$

c)

$\frac{35}{20}$

d)

$\frac{7}{5}$

168.

What is the place value of 5 in the number 3,582?

a)

5

b)

50

c)

500

d)

5,000

169.

Calculate the result of $3 + 6 \times (5 + 4) \div 3 - 7$ .

a)

11

b)

12

c)

13

d)

14

170.

Add $\frac{1}{2}$ and $\frac{3}{8}$ .

a)

$\frac{5}{8}$

b)

$\frac{7}{8}$

c)

$\frac{4}{8}$

d)

$\frac{9}{8}$

171.

Subtract $\frac{4}{5}$ from $\frac{9}{10}$ .

a)

$\frac{1}{10}$

b)

$\frac{2}{10}$

c)

$\frac{3}{10}$

d)

$\frac{5}{10}$

172.

Find the average of 45, 55, 65, and 75.

a)

60

b)

55

c)

65

d)

70

173.

Multiply $\frac{3}{7}$ by $\frac{4}{5}$ .

a)

$\frac{12}{35}$

b)

$\frac{7}{20}$

c)

$\frac{12}{30}$

d)

$\frac{15}{35}$

174.

Divide $\frac{9}{16}$ by $\frac{3}{4}$ .

a)

$\frac{3}{4}$

b)

$\frac{9}{12}$

c)

$\frac{12}{16}$

d)

$\frac{3}{2}$

175.

What is the place value of 7 in the number 7,654?

a)

7

b)

70

c)

700

d)

7,000

176.

Calculate the result of $8 \div 2 \times (2 + 2)$ .

a)

8

b)

16

c)

4

d)

12

177.

Add $\frac{5}{12}$ and $\frac{1}{4}$ .

a)

$\frac{8}{12}$

b)

$\frac{11}{12}$

c)

$\frac{9}{12}$

d)

$\frac{7}{12}$

178.

Subtract $\frac{2}{3}$ from $\frac{5}{6}$ .

a)

$\frac{1}{6}$

b)

$\frac{2}{6}$

c)

$\frac{3}{6}$

d)

$\frac{4}{6}$

179.

Find the average of 10, 20, 30, 40, and 50.

a)

25

b)

30

c)

35

d)

40

180.

Multiply $\frac{2}{9}$ by $\frac{3}{4}$ .

a)

$\frac{6}{36}$

b)

$\frac{1}{6}$

c)

$\frac{1}{3}$

d)

$\frac{2}{12}$

181.

Divide $\frac{5}{8}$ by $\frac{1}{2}$ .

a)

$\frac{5}{4}$

b)

$\frac{5}{16}$

c)

$\frac{10}{8}$

d)

$\frac{8}{5}$

182.

What is the place value of 9 in the number 2,391?

a)

9

b)

90

c)

900

d)

9,000

183.

Select the multiple of 9

a)

6

b)

3

c)

1

d)

27

184.

Solve 5x - 2 = 33

a)

x = 7

b)

x = 6

c)

x = 6.2

d)

x = -7

185.

Expand $2x\left(3x\ -\ 4\right)$

a)

$6x\ -\ 8x$

b)

$6x^2\ -\ 8x$

c)

$6x^2\ +\ 8x$

d)

$6x^2\ -\ 4$

186.

$Find\ \frac{3}{4}\ of\ 60$

a)

34

b)

15

c)

45

d)

43

187.

Write 90 as a product of its prime factors

a)

9 x 10

b)

$3^2\ \times10$

c)

$2\ \times\ 3^2\times5$

d)

$2^2\ \times\ 3\ \times5$

188.

What part of a circle is this?

a)

sector

b)

chord

c)

arc

d)

segment

189.

The formula for the area of a circle is

a)

$\pi d$

b)

$\pi^2r$

c)

$2\pi r$

d)

$\pi r^2$

190.

Find the volume of the cuboid

a)

$26\ cm^3$

b)

5 x 8 x 13

c)

$520\ cm^3$

d)

$520\ mm^3$

191.

Find the nth term of the sequence 3, 7, 11, 15, 19

a)

23, 27

b)

4n + 1

c)

+4

d)

4n - 1

192.

Find the median of 2, 10, 11, 9, 2

a)

11

b)

9

c)

2

d)

10.5

193.

Find the mean of 6, 11, 7, 11, 15

a)

11

b)

8

c)

10

d)

9

194.

Find the area of the triangle

a)

$70\ cm^2$

b)

$35\ cm^2$

c)

$17\ cm^2$

d)

$12\ cm^2$

195.

Which of the 4 transformations is this?

a)

Rotation

b)

Reflection

c)

Translation

d)

Enlargement

196.

Which of the 4 transformations is this?

a)

Rotation

b)

Reflection

c)

Translation

d)

Enlargement

197.

Find the equivalent fraction to $\frac{7}{8}$

a)

$\frac{21}{24}$

b)

$\frac{14}{17}$

c)

$\frac{34}{40}$

d)

$\frac{3.5}{4}$

198.

Find the missing side length in the similar shapes

a)

14

b)

$\frac{4}{3}$

c)

12

d)

16

199.

Here is the net of a 3D shape, name the 3D shape?

a)

Hemisphere

b)

Sphere

c)

Cone

d)

Cylinder

200.

Find the missing angle

a)

$203\degree$

b)

$145\degree$

c)

$360\degree$

d)

$157^{\degree}$

201.

Find the missing angle x

a)

$90\degree$

b)

$125\degree$

c)

$35\degree$

d)

$25\degree$

202.

$5x^2\ -\ 4y\$ is an example of

a)

Formula

b)

Expression

c)

Equation

d)

Identity

203.

A cube has side lengths of 5 cm. What is the volume of the cube? (Don't worry about units, just put the value)

(a)

204.

Which of the following is the correct formula for the area of a circle

a)

$A\ =\ \pi d$

b)

$A\ =\ \pi r^2$

c)

$A\ =\ 2\pi r$

d)

$A=\pi d^2$

205.

How many cm in one metre?

a)

1

b)

10

c)

100

d)

1000

206.

Odd x odd will always give....

a)

An odd number

b)

An even number

c)

Depends on the numbers

207.

Find the value of $4^3$

a)

12

b)

16

c)

64

d)

128

208.

find the area of the circle with radius 3 cm below.

a)

100 cm²

b)

225 cm²

c)

9 cm²

d)

28.26 cm²

209.

Is this shape a prism?

a)

Yes

b)

No

210.

Calculate the volume of this cuboid.

(a) cm³

211.

Find the Volume if the height is 10 cm and radius 3 cm?

a)

250

b)

200

c)

283

d)

180

212.

Which represents a cube number?

a)

1 x 2 x 3 =

b)

2 x 4 x 8 =

c)

10 x 10 x 10 =

213.

Which line represents y = 2?

a)

b)

c)

d)

214.

If x + y = 6 then 4 ( x + y ) = …..

a)

10

b)

12

c)

24

215.

How many faces does a cube have?

a)

8

b)

4

c)

6

216.

Formula for Speed:

a)

Speed = time / distance

b)

Speed = distance / time

c)

Speed = distance x time

217.

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

GCSE Foundation Introduction

Total questions: 217

Worksheet time: 5hrs 8mins

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