Free Printable KS3 House Maths 2021

1.

What is the next number 35, 40, 45, 50 _______

a)

60

b)

55

c)

65

d)

51

2.

How many centimetres are there in 2½ metres?

a)

225 cm

b)

250 cm

c)

200cm

d)

275cm

3.

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

a)

6a + 8b

b)

6a - 8b

c)

6a8b

d)

8a - 6b

4.

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

a)

7

b)

4

c)

2.5

d)

2

5.

What is the area of this triangle?

a)

17cm²

b)

20cm²

c)

30cm²

d)

60cm²

6.

Solve the equation 2n + 3 = 23

a)

n = 1

b)

n = 10

c)

n = 11

d)

n = 13

7.

What is 257.483 rounded to 2 decimal places?

a)

257.5

b)

257.49

c)

257.48

d)

257.50

8.

What is 257.483 rounded to 2 significant figures?

a)

257.48

b)

257

c)

250

d)

260

9.

What is $\frac{2}{3}$ of 30?

a)

10

b)

15

c)

20

d)

40

10.

What is $\frac{1}{4}$ as a decimal?

a)

0.25

b)

0.4

c)

0.2

d)

0.26

11.

Two angles in a triangle are 23 $\degree$ and 57 $\degree$ what is the 3rd?

a)

90 $\degree$

b)

100 $\degree$

c)

98 $\degree$

d)

101 $\degree$

12.

$\frac{2}{3}\times\frac{5}{6}\ =\$

a)

$\frac{7}{9}$

b)

$\frac{10}{18}$

c)

$\frac{5}{9}$

d)

$\frac{10}{9}$

13.

What is the highest common factor of 36 and 63?

a)

3

b)

6

c)

9

d)

12

14.

-15 x -12

a)

180

b)

-180

c)

-3

d)

3

15.

List all the factors of 30

a)

30, 60, 90, 120, .....

b)

2, 15, 5, 6

c)

1, 2, 3, 5, 6, 15, 30

d)

1, 30, 2, 15, 3, 10, 5, 6

16.

If c = 4 and d = 7, what is the value of 2c + d?

a)

31

b)

15

c)

51

d)

23

17.

If c = 5 and d = 8, what is the value of cd?

a)

13

b)

58

c)

40

d)

35

18.

Which of these equations would be a vertical line when drawn on a graph?

a)

y = x

b)

y = 3

c)

x = 3

d)

y = 0

19.

What is one quarter as a %?

a)

1.4%

b)

40%

c)

14%

d)

25%

20.

What is one-eighth as a percentage?

a)

18%

b)

0.18%

c)

0.125%

d)

12.5%

21.

How do you find the median of a set of numbers?

a)

Add them all together and divide by how many there are

b)

Biggest - smallest

c)

Most common

d)

Put in order, then find middle value

22.

The mean of 5 numbers is 7. Four of the numbers are 3, 10, 6 and 8. What is the fifth number?

a)

8

b)

7

c)

6

d)

5

23.

Complete the sentence. Angles on a straight line add up to

a)

90 degrees

b)

180 degrees

c)

270 degrees

d)

360 degrees

24.

Two angles in a triangle are 54^o and 98^o. What is the size of the third angle?

a)

48^o

b)

38^o

c)

28^o

d)

18^o

25.

Write an expression for three times a number n plus two

a)

n + 3 x 2

b)

n x 3 + 2

c)

2n + 3

d)

3n + 2

26.

Write an expression for a number n + 3 all multiplied by 2

a)

2(n + 3)

b)

(n + 3) x 2

c)

n3 x 2

d)

3n x 2

27.

Find the value of 3 + 4² x 2

a)

38

b)

19

c)

22

d)

35

28.

Which is correct?

a)

2 + 3 x 4 = 20

b)

5² - 3 x 2 = 44

c)

10 - (4 + 3) x 2 = -4

d)

5 + 3²x 2 = 17

29.

Which of these shapes has exactly two lines of symmetry?

a)

Square

b)

Trapezium

c)

Parallelogram

d)

Rectangle

30.

How many seconds are in three and a half minutes?

a)

150

b)

360

c)

230

d)

210

31.

What is two-thirds of 180?

a)

36

b)

60

c)

120

d)

150

32.

A recipe for 12 pancakes needs 4 eggs. How many eggs are needed for 18 pancakes?

a)

4

b)

6

c)

8

d)

10

33.

48 x 0.01 =

a)

4800

b)

0.48

c)

4.8

d)

0.048

34.

Divide 4.8 by 0.2

a)

0.24

b)

2.4

c)

24

d)

240

35.

What is the area of the black region?

a)

16 m²

b)

18 m²

c)

35 m²

d)

44 m²

e)

56 m²

36.

The stacks with the same volume are?

a)

P and Q only

b)

Q and R only

c)

P and R only

d)

P, Q and R

37.

The time shown on the clock is:

a)

twenty-five past ten

b)

five to five

c)

six to five

d)

six to six

e)

six to four

38.

A sack of flour that weighs 4.5 kilograms has 300 grams taken from it. What does the sack weigh now?

a)

1.5 kg

b)

4.2 kg

c)

4.47 kg

d)

2.55 kg

39.

What is the smallest rotation about point P that will leave this object looking the same?

a)

40°

b)

60°

c)

90°

d)

135°

e)

180°

40.

Each of the following letters has a line of symmetry. In which letter is the line of symmetry different from that of the others?

a)

A

b)

E

c)

M

d)

T

e)

V

41.

If a mirror were placed edge-on along QR as shown, then the triangle and its image would look like a:

a)

square

b)

parallelogram

c)

rectangle

d)

hexagon

e)

triangle

42.

An ice cream costs $3 and a chocolate-dipped ice cream costs 50 cents extra.

Which of these sentences could be used to find the cost, in dollars, of 5 chocolate-dipped ice creams?

a)

cost = (3 x 0.5) + 5

b)

cost = (3 x 5) + 0.5

c)

cost = (3 x 0.5) x 5

d)

cost = (3 x 5) x 0.5

e)

cost = (3 + 0.5) x 5

43.

One afternoon Eleni went on a bicycle ride. This graph shows the distance she travelled at different times of the day.

How far did Eleni ride in the second hour?

a)

about 13 kilometres

b)

about 22 kilometres

c)

about 35 kilometres

d)

about 57 kilometres

44.

Reduce the following fraction:
16/20 =

a)

8/10

b)

4/5

c)

1/2

d)

16/20

45.

Reduce the following fraction:
36/44

a)

9/11

b)

6/7

c)

4/9

d)

18/22

46.

Solve:
-6 x (-5)

a)

-30

b)

36

c)

30

d)

-36

47.

Solve:
4+ (-5) - 6

a)

3

b)

5

c)

-5

d)

-7

48.

Which picture shows 3/4?

a)

green

b)

blue

c)

purple

d)

pink

49.

¹⁄₂× ³ ⁄₄ =

a)

³⁄₈

b)

³⁄₄

c)

¹⁄₂

d)

¹⁄₄

50.

³⁄₅× ²⁄₅=

a)

⁵⁄₁₀

b)

⁶⁄₅

c)

⁶⁄₂₅

d)

¹⁄₅

51.

³⁄₄÷ ¹⁄₂=

a)

³⁄₂

b)

⁶⁄₈

c)

³⁄₈

d)

¹⁄₂

52.

²⁄₅÷ ²⁄₅=

a)

⁴⁄₁₀

b)

²⁄₅

c)

1

d)

5

53.

Compare 5/6 and 4/6

a)

5/6 > 4/6

b)

5/6 < 4/6

c)

5/6 = 4/6

54.

4¹⁄₂× 3²⁄₃=

a)

12¹⁄₂

b)

³³⁄₂

c)

¹⁄₃

d)

16

55.

What is the difference of 7/8 - 1/3?

a)

6/5

b)

8/11

c)

6/8

d)

13/24

56.

What is 25% of 2 hours?

a)

45 minutes

b)

30 minutes

c)

0.3 hours

d)

0.5 minutes

57.

Eliza bought a meal that cost $ 12.00. She tipped the waiter 25% of that amount. How much was the tip?

a)

$ 15.00

b)

$ 12.25

c)

$3.00

d)

$4.00

58.

Reduce 360 by 10%

a)

342

b)

324

c)

328

d)

300

59.

A shop has an offer of 15% off cameras.
If a camera cost £90 before the offer, what is the discount price?

a)

£86.50

b)

£76.50

c)

£78.50

d)

£82.50

60.

What is the ratio to the picture shown, triangles to squares?

a)

2:6

b)

5:6

c)

3:4

d)

4:3

61.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

62.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

63.

_{What is the y-intercept of the line?}

a)

(0,¹/₂)

b)

(0,1)

c)

(0, ^-1/2)

d)

(0, -1)

64.

What are the x- and y- intercepts, respectively, on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

65.

Find the slope of the line.

a)

1/4

b)

-1/4

c)

-4

d)

4

66.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

67.

Write the number 3,400,000 in standard form

a)

3.4 × 10⁶

b)

3.4 × 10⁷

c)

34 × 10⁵

d)

3.4 × 10^-5

68.

Write the number 82,300,000 in standard form

a)

8.23 × 10⁵

b)

8.23 × 10⁶

c)

8.23 × 10⁷

d)

8.23 × 10⁸

69.

Write the number 0.00004 in standard form

a)

4 × 10^-4

b)

4 × 10⁴

c)

4 × 10⁵

d)

4 × 10^-5

70.

Write 7.4 × 10^-5 as an ordinary number...

a)

0.000074

b)

740,000

c)

7,400,000

d)

0.0000074

71.

Write 2 x 2 x 2 x 2 in index form

a)

2³

b)

2⁵

c)

16

d)

2⁴

72.

Write 6²x 6³as a single power

a)

7776

b)

6⁶

c)

6⁵

d)

36⁵

73.

Write 9⁵ ÷ 9³ as a single power

a)

9²

b)

9⁸

c)

9¹⁵

74.

Evaluate 2³+ 3²

a)

72

b)

36

c)

12

d)

17

75.

(3x²y³)²

a)

9x⁴y⁶

b)

3x⁴y⁵

c)

6x⁴y⁶

d)

9xy

76.

Find the area

a)

37.68 ft²

b)

18.84 ft²

c)

113.04 ft²

d)

9.42 ft²

77.

Factorise 4x + 14

a)

2(2x+7)

b)

4(x+10)

c)

4(x+3)

d)

2(x+12)

78.

Factorise 8x + 12

a)

4(x+2)

b)

8(x+4)

c)

4(x+3)

d)

4(2x+3)

79.

Factorise fully 8x+32

a)

8(x+4)

b)

4(2x+16)

c)

2(4x+16)

d)

4(2x+8)

80.

Factorise: 12x² + 15x

a)

6x(2x+3)

b)

3(x²+5x)

c)

4x(3x+5)

d)

3x(4x+5)

81.

Factorise fully: 18 - 6x

a)

3(2x - 3)

b)

3(6 - 2x)

c)

6(3 - x)

d)

6(x - 3)

82.

Expand and simplify the following quadratic expression...

(x + 3)(x + 2)

a)

x² + 5x + 6

b)

x² + 5x + 5

c)

x² + 6x + 6

d)

x² + 6x + 5

83.

Expand -2(x-2)

a)

-2x+4

b)

2x-4

c)

-2x-4

d)

2x-2

84.

Expand and simplify the following quadratic expression...

(x + 3)(x + 8)

a)

x² + 11x + 24

b)

x² + 11x + 11

c)

x² + 24x + 11

d)

x² + 24x + 24

85.

Find the LCM of 12 and 16...

a)

48

b)

36

c)

64

d)

96

86.

Find the HCF of 8 and 24 ...

a)

2

b)

4

c)

6

d)

8

87.

Find the LCM of 8 and 24 ...

a)

24

b)

48

c)

32

d)

64

88.

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

89.

What is 12300 - 5476?

a)

6834

b)

6814

c)

6824

90.

What is 12 x 5 x 18?

a)

1080

b)

1180

c)

1280

d)

980

91.

What is 3 + 4 x 2 - 5?

a)

6

b)

7

c)

8

d)

9

92.

What is the probability of spinning green?

a)

0

b)

1/4

c)

1/2

d)

3/4

93.

Find the probability of drawing a 10 from a standard deck of 52 cards.

a)

1 out of 52

b)

13 out of 52

c)

26 out of 52

d)

4 out of 52

94.

Probability is ...

a)

the chance that some event will occur.

b)

a game that involves coins.

c)

a guarantee.

95.

What is the probability of spinning an even number?

a)

16 2/3%

b)

33 1/3%

c)

50%

d)

75%

96.

What is 3³

a)

27

b)

26

c)

9

d)

76

97.

What is 8²

a)

66

b)

64

c)

65

d)

63

98.

What is 7³

a)

715

b)

678

c)

343

d)

341

99.

what is ∛27

a)

420

b)

21

c)

3

d)

4

100.

What shape is this?

a)

pentagon

b)

octagon

c)

hexagon

d)

pyramid

101.

a)

A

b)

B

c)

C

d)

D

e)

E

102.

a)

A

b)

B

c)

C

d)

D

e)

E

103.

a)

A

b)

B

c)

C

d)

D

e)

E

104.

a)

A

b)

B

c)

C

d)

D

e)

E

105.

a)

A

b)

B

c)

C

d)

D

e)

E

KS3 House Maths 2021

Total questions: 105

Worksheet time: 3hrs 1mins

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