Free Printable Year 10, July 2023

1.

Change 372cm into metres

a)

3720m

b)

3.72m

c)

37.2m

d)

37200m

2.

Change 8.4kg into grams

a)

840g

b)

8.4g

c)

8400g

d)

84g

3.

Convert 750ml into litres

a)

7.5L

b)

75L

c)

0.75L

d)

7500L

4.

Work out 2 + 3 x 6

a)

18

b)

5

c)

30

d)

20

5.

Work out 3 + 2 x 4 + 6

a)

9

b)

50

c)

17

d)

60

6.

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

a)

20

b)

5

c)

2.5

d)

40

7.

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

a)

4

b)

15

c)

36

d)

9

8.

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

9.

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

a)

1 miles

b)

2 miles

c)

3 miles

d)

4 miles

10.

Solve $3x=17$

a)

$x=5$

b)

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

c)

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

d)

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

11.

Expand:

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

a)

$3x-6$

b)

$3x+6$

c)

$3x-2$

d)

$3x+2$

12.

Expand:

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

a)

$2x+3x$

b)

$x^2+6x+5$

c)

$x^2+6$

d)

$x^2+5x+6$

13.

Find the correct formula for speed

a)

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

b)

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

c)

$S=D\ \times T$

d)

$S=T\times D$

14.

Find the correct formula for density

a)

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

b)

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

c)

$D=M\times V$

d)

$D=V\times M$

15.

Find the square root of 81

a)

6

b)

7

c)

8

d)

9

16.

Find $3^3$

a)

3

b)

9

c)

27

d)

1

17.

Find $2^3$

a)

8

b)

6

c)

2

d)

0

18.

Find the reciprocal of 12

a)

$\frac{12}{1}$

b)

$\frac{1}{21}$

c)

$\frac{1}{12}$

d)

0.12

19.

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)

$3\pi^2$

20.

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

a)

$25cm^3$

b)

$150cm^2$

c)

$125cm^3$

d)

$5cm^2$

21.

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

a)

6a + 8b

b)

6a - 8b

c)

6a8b

d)

8a - 6b

22.

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

a)

7

b)

4

c)

2.5

d)

2

23.

Which expression means 'four more than n'

a)

4n

b)

n + 4

c)

n > 4

d)

4 > n

24.

What is the reciprocal of 5?

a)

5

b)

0.5

c)

-5

d)

1/5

25.

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

26.

What is the area of this triangle?

a)

17cm²

b)

20cm²

c)

30cm²

d)

60cm²

27.

What is the length of the hypotenuse?

a)

17 cm

b)

12.1 cm

c)

12.8 cm

d)

13 cm

28.

Solve the equation 2n + 3 = 23

a)

n = 1

b)

n = 10

c)

n = 11

d)

n = 13

29.

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

30.

What is 257.483 rounded to 2 decimal places?

a)

257.5

b)

257.49

c)

257.48

d)

257.50

31.

What is 257.483 rounded to 2 significant figures?

a)

257.48

b)

257

c)

250

d)

260

32.

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

33.

How big is angle a?

a)

70^o

b)

30^o

c)

50^o

d)

80^o

34.

Which maths word means 'identical' when comparing shapes?

a)

similar

b)

equilateral

c)

congruent

d)

invariant

35.

What is the combined area of the two rectangles?

a)

60 cm²

b)

120 cm²

c)

30 cm²

d)

48 cm²

36.

Which is a square number?

a)

10

b)

100

c)

1,000

37.

Which represents a cube number?

a)

1 x 2 x 3 =

b)

2 x 4 x 8 =

c)

10 x 10 x 10 =

38.

A fair dice is tosses. Which statement is true?

a)

Probability of getting a 4 or 5 is 1/6.

b)

Probability of getting a 4 or 5 is 1/3.

39.

Which two statements are true?

a)

1/4 is smaller than 1/5

b)

1/4 is bigger than 1/5

c)

1/5 = 25%

d)

1/4 = 25%

40.

Missing word: litres is a unit of capacity just as mass per 1cm² is a unit of _ _ _ _ _ _ _ .

a)

volume

b)

density

c)

area

d)

distribution

41.

Which line represents y = 2?

a)

b)

c)

d)

42.

What is the area of this triangle?

a)

5 cm^²

b)

10 cm^²

c)

14 cm²

43.

If x + y = 6 then 4 ( x + y ) = …..

a)

10

b)

12

c)

24

44.

factorise 9x - 9y

a)

just stays 9x - 9y

b)

9 ( x - y )

c)

9 ( x + y )

45.

If x - y = 17, then y - x =

a)

34

b)

-17

c)

also 17

d)

none of the above

46.

If x - y = -17, then y - x =

a)

-34

b)

17

c)

also -17

d)

none of the above

47.

How many faces does a cube have?

a)

8

b)

4

c)

6

48.

Which two statements about squares are true?

a)

Area = length x width.

b)

Area = side x side.

c)

2 pairs of sides same lengths.

d)

all sides same length.

49.

The area all around a shape is known as the _ _ _ _ _ _ _ _ _ _ _ .

a)

surface area.

b)

total surface area.

c)

capacity.

d)

volume.

50.

With which type of interest do you earn more money?

a)

Simple interest.

b)

Compound interest.

51.

6/17 of 153 on a calculator is _ _ _ _ _ _ _ _ _ _ .

a)

6 x 17 ÷ 153 =

b)

6 x 17 x 153 =

c)

6 ÷ 17 x 153 =

52.

Which inequality is for x bigger than -2 but smaller than 3?

a)

-2 ≤ x ≤ 3

b)

-2 ≤ x < 3

c)

-2 < x < 3

53.

Which inequality represents x bigger than 0 but smaller than or equal to 5?

a)

0 ≤ x < 5

b)

0 < x ≤ 5

c)

0 ≤ x ≤ 5

54.

Formula for Speed:

a)

Speed = time / distance

b)

Speed = distance / time

c)

Speed = distance x time

55.

If 4 = 12/3 then 3 = 12/4. In the same way s = d/t then _ _ _ _ _ _ _ _ .

a)

t = d/s

b)

t = s/d

56.

True of false: 0.6 hours = 6 minutes

a)

True

b)

False

57.

True of False? 2.3 hours = 2 hours 18 minutes

a)

True

b)

False

58.

True of False? ( x + 7 )² = ( x + 7 ) ( x + 7 )

a)

True

b)

False

59.

True or False? To do ( x + 7 )² is called expanding double brackets.

a)

True

b)

False

60.

Choose the correct set-up for ( x + 8 )²

a)

b)

c)

61.

How many cm in one metre?

a)

1

b)

10

c)

100

d)

1000

62.

How many ml in one litre?

a)

1

b)

10

c)

100

d)

1000

63.

How many metres in one kilometre

a)

1

b)

10

c)

100

d)

1000

64.

How many mm in one cm?

a)

1

b)

10

c)

100

d)

1000

65.

How many minutes in one hour?

a)

30

b)

60

c)

90

d)

120

66.

How many minutes in 1.5 hours?

a)

90

b)

110

c)

150

d)

120

67.

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

a)

4

b)

4.5

c)

5

d)

5.5

68.

Find 0.3 as a fraction in its simplest form

a)

$\frac{1}{3}$

b)

$\frac{30}{100}$

c)

$\frac{2}{3}$

d)

$\frac{3}{10}$

69.

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

a)

5

b)

40

c)

9

d)

45

70.

What is the value of -5 -7

a)

12

b)

2

c)

-2

d)

-12

71.

Odd x odd will always give....

a)

An odd number

b)

An even number

c)

Depends on the numbers

72.

Find the value of $4^3$

a)

12

b)

16

c)

64

d)

128

73.

Which is a square number?

a)

10

b)

100

c)

1,000

74.

Which represents a cube number?

a)

1 x 2 x 3 =

b)

2 x 4 x 8 =

c)

10 x 10 x 10 =

75.

A fair dice is tosses. Which statement is true?

a)

Probability of getting a 4 or 5 is 1/6.

b)

Probability of getting a 4 or 5 is 1/3.

76.

Which two statements are true?

a)

1/4 is smaller than 1/5

b)

1/4 is bigger than 1/5

c)

1/5 = 25%

d)

1/4 = 25%

77.

Missing word: litres is a unit of capacity just as mass per 1cm² is a unit of _ _ _ _ _ _ _ .

a)

volume

b)

density

c)

area

d)

distribution

78.

Which line represents y = 2?

a)

b)

c)

d)

79.

What is the area of this triangle?

a)

5 cm^²

b)

10 cm^²

c)

14 cm²

80.

If x + y = 6 then 4 ( x + y ) = …..

a)

10

b)

12

c)

24

81.

factorise 9x - 9y

a)

just stays 9x - 9y

b)

9 ( x - y )

c)

9 ( x + y )

82.

If x - y = 17, then y - x =

a)

34

b)

-17

c)

also 17

d)

none of the above

83.

If x - y = -17, then y - x =

a)

-34

b)

17

c)

also -17

d)

none of the above

84.

How many faces does a cube have?

a)

8

b)

4

c)

6

85.

Which two statements about squares are true?

a)

Area = length x width.

b)

Area = side x side.

c)

2 pairs of sides same lengths.

d)

all sides same length.

86.

The area all around a shape is known as the _ _ _ _ _ _ _ _ _ _ _ .

a)

surface area.

b)

total surface area.

c)

capacity.

d)

volume.

87.

With which type of interest do you earn more money?

a)

Simple interest.

b)

Compound interest.

88.

6/17 of 153 on a calculator is _ _ _ _ _ _ _ _ _ _ .

a)

6 x 17 ÷ 153 =

b)

6 x 17 x 153 =

c)

6 ÷ 17 x 153 =

89.

Which inequality is for x bigger than -2 but smaller than 3?

a)

-2 ≤ x ≤ 3

b)

-2 ≤ x < 3

c)

-2 < x < 3

90.

Which inequality represents x bigger than 0 but smaller than or equal to 5?

a)

0 ≤ x < 5

b)

0 < x ≤ 5

c)

0 ≤ x ≤ 5

91.

Formula for Speed:

a)

Speed = time / distance

b)

Speed = distance / time

c)

Speed = distance x time

92.

If 4 = 12/3 then 3 = 12/4. In the same way s = d/t then _ _ _ _ _ _ _ _ .

a)

t = d/s

b)

t = s/d

93.

True of false: 0.6 hours = 6 minutes

a)

True

b)

False

94.

True of False? 2.3 hours = 2 hours 18 minutes

a)

True

b)

False

95.

True of False? ( x + 7 )² = ( x + 7 ) ( x + 7 )

a)

True

b)

False

96.

True or False? To do ( x + 7 )² is called expanding double brackets.

a)

True

b)

False

97.

Choose the correct set-up for ( x + 8 )²

a)

b)

c)

98.

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

a)

6a + 8b

b)

6a - 8b

c)

6a8b

d)

8a - 6b

99.

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

a)

7

b)

4

c)

2.5

d)

2

100.

Which expression means 'four more than n'

a)

4n

b)

n + 4

c)

n > 4

d)

4 > n

101.

What is the reciprocal of 5?

a)

5

b)

0.5

c)

-5

d)

1/5

102.

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

103.

What is the area of this triangle?

a)

17cm²

b)

20cm²

c)

30cm²

d)

60cm²

104.

What is the length of the hypotenuse?

a)

17 cm

b)

12.1 cm

c)

12.8 cm

d)

13 cm

105.

Solve the equation 2n + 3 = 23

a)

n = 1

b)

n = 10

c)

n = 11

d)

n = 13

106.

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

107.

What is 257.483 rounded to 2 decimal places?

a)

257.5

b)

257.49

c)

257.48

d)

257.50

108.

What is 257.483 rounded to 2 significant figures?

a)

257.48

b)

257

c)

250

d)

260

109.

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

110.

How big is angle a?

a)

70^o

b)

30^o

c)

50^o

d)

80^o

111.

Which maths word means 'identical' when comparing shapes?

a)

similar

b)

equilateral

c)

congruent

d)

invariant

112.

What is the combined area of the two rectangles?

a)

60 cm²

b)

120 cm²

c)

30 cm²

d)

48 cm²

113.

How many cm in one metre?

a)

1

b)

10

c)

100

d)

1000

114.

How many ml in one litre?

a)

1

b)

10

c)

100

d)

1000

115.

How many metres in one kilometre

a)

1

b)

10

c)

100

d)

1000

116.

How many mm in one cm?

a)

1

b)

10

c)

100

d)

1000

117.

How many minutes in one hour?

a)

30

b)

60

c)

90

d)

120

118.

How many minutes in 1.5 hours?

a)

90

b)

110

c)

150

d)

120

119.

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

a)

4

b)

4.5

c)

5

d)

5.5

120.

Find 0.3 as a fraction in its simplest form

a)

$\frac{1}{3}$

b)

$\frac{30}{100}$

c)

$\frac{2}{3}$

d)

$\frac{3}{10}$

121.

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

a)

5

b)

40

c)

9

d)

45

122.

What is the value of -5 -7

a)

12

b)

2

c)

-2

d)

-12

123.

Odd x odd will always give....

a)

An odd number

b)

An even number

c)

Depends on the numbers

124.

Find the value of $4^3$

a)

12

b)

16

c)

64

d)

128

125.

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

126.

a)

A

b)

B

c)

C

d)

D

127.

What is the size of angle x?

a)

19^o

b)

76^o

c)

39^o

d)

38^o

128.

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)

129.

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)

$A=\pi d^2$

130.

How many cm in one metre?

a)

1

b)

10

c)

100

d)

1000

131.

Odd x odd will always give....

a)

An odd number

b)

An even number

c)

Depends on the numbers

132.

Find the value of $4^3$

a)

12

b)

16

c)

64

d)

128

133.

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

a)

100 cm²

b)

225 cm²

c)

9 cm²

d)

28.26 cm²

134.

Is this shape a prism?

a)

Yes

b)

No

135.

Calculate the volume of this cuboid.

(a) cm³

136.

If x + y = 6 then 4 ( x + y ) = …..

a)

10

b)

12

c)

24

137.

Formula for Speed:

a)

Speed = time / distance

b)

Speed = distance / time

c)

Speed = distance x time

138.

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

139.

1 mark

a)

30abc

b)

10abc

c)

30(a + b + c)

d)

10(a + b + c)

140.

1 mark

a)

3(y + 2)

b)

3(y + 6)

c)

2(y + 3)

d)

6(y + 1)

141.

1 mark

a)

x² - 3x

b)

x² - 3

c)

x² - x

d)

2x - 3x

142.

3 marks

a)

x = 9.25

b)

x = 20.5

c)

x = 11.25

d)

x = 10.25

143.

3 marks

a)

Green = 0.09

Red = 0.36

b)

Green = 0.1125

Red = 0.3375

c)

Green = 0.11

Red = 0.44

d)

Green = 0.225

Red = 0.225

144.

3 marks

a)

20.3

b)

20.2

c)

31.8

d)

31.9

145.

3 marks

a)

2.61m

b)

0.81m

c)

1.24m

d)

2.25m

146.

2 marks

a)

8 : 6

b)

4 : 3

c)

72 : 54

d)

5 : 3

147.

4 marks

a)

7.92

b)

79.2

c)

10

d)

7.2

148.

2 marks

a)

10a⁵b⁴

b)

7a⁵b⁴

c)

10a⁵b³

d)

7a⁵b³

149.

3 marks

a)

y = 5p² - x

b)

y = (5p - x)²

c)

y = 5(p - x)²

d)

y = (5p)² - x

150.

3 marks

a)

x = 0.29

x = -2.29

b)

x = 0.87

x = -6.87

c)

x = 2.29

x = -0.29

d)

x = -0.42

x = -1.58

151.

3 marks

a)

29.25

b)

28.75

c)

24.25

d)

23.75

Year 10, July 2023

Total questions: 151

Worksheet time: 2hrs 9mins

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