Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Mental maths - GL - grade 6

Total questions: 64

Worksheet time: 26mins

Name
Class
Date
1.

Each side of a regular hexagon is 3 cm. What is its perimeter?

a)

9 cm

b)

12 cm

c)

18 cm

d)

24 cm

2.

The radius of a circle is 7 cm. What is its diameter?

a)

3.5 cm

b)

7 cm

c)

14 cm

d)

21 cm

3.

Which of these angles is obtuse?

a)

45°

b)

75°

c)

110°

4.

Convert 0.25 into a fraction.

a)

1/4

b)

1/3

c)

2/5

d)

3/8

5.

Which shape is a trapezium?

a)

A shape with one pair of parallel sides

b)

A shape with all sides equal

c)

A shape with two pairs of parallel sides

d)

A shape with all right angles

6.

The length of a rectangle is 8 cm, and the width is 5 cm. What is its area?

a)

13 cm²

b)

30 cm²

c)

40 cm²

d)

80 cm²

7.

Which of the following numbers are all prime numbers?

a)

2, 3, 5, 9

b)

3, 7, 11, 13

c)

4, 5, 7, 8

d)

9, 13, 17, 21

8.

Convert 9/4 into a mixed number.

a)

2 1/4

b)

2 3/4

c)

3 1/4

d)

3 3/4

9.

A 20% tax is added to £540. What is the total cost?

a)

£648

b)

£600

c)

£108

d)

£432

10.

In a bag of 30 sweets, the ratio of green sweets to other sweets is 1:4. How many green sweets are there?

a)

5

b)

6

c)

8

d)

10

11.

A triangle has a base of 12 cm and a height of 5 cm. What is its area?

a)

30 cm²

b)

60 cm²

c)

17 cm²

d)

25 cm²

12.

The night temperature was -3°C. During the day, the temperature rose by 8°C. What was the temperature during the day?

a)

5°C

b)

-5°C

c)

11°C

d)

3°C

13.

Round 4.76 to the nearest whole number.

a)

4

b)

4.7

c)

5

d)

4.8

14.

I have 56 marbles. I gave 1/8 of them to a friend. How many marbles did I give away?

a)

6

b)

7

c)

8

d)

9

15.

Solve for x: 2x + 3 = 7

a)

1

b)

2

c)

3

d)

4

16.

The circumference of a circle is approximately 3 times its diameter. Find the circumference of a circle with a radius of 20 cm.

diameter = radius x 2

a)

60 cm

b)

120 cm

c)

40 cm

d)

30 cm

17.

Three angles of a quadrilateral are 90°, 85°, and 60°. Find the fourth angle.

a)

105°

b)

120°

c)

125°

d)

140°

18.

The ratio of vans to cars is 2:3. If there are 10 vans, how many cars are there?

a)

15

b)

12

c)

10

d)

20

19.

The equation is y = x² - 4. What is the value of y when x = 3?

a)

5

b)

6

c)

7

d)

8

20.

Find the volume of a cube with a side length of 4 cm.

a)

16 cm³

b)

32 cm³

c)

64 cm³

d)

128 cm³

21.

Each side of a regular pentagon is 5 cm. What is the perimeter?

a)

20 cm

b)

25 cm

c)

30 cm

d)

15 cm

22.

The radius of a circle is 9 cm. What is the diameter?

a)

9 cm

b)

18 cm

c)

27 cm

d)

36 cm

23.

Which of these angles is obtuse?

a)

30°

b)

45°

c)

110°

d)

90°

24.

Convert 0.75 to a fraction.

a)

3/4

b)

2/5

c)

5/8

d)

1/3

25.

Which shape is a trapezium?

a)

b)

c)

d)

26.

Which shape is a parallelogram?

a)

b)

c)

d)

27.

Find the area of a rectangle with a length of 8 cm and a width of 5 cm.

a)

30 cm²

b)

35 cm²

c)

40 cm²

d)

45 cm²

28.

Which of these numbers is a prime number?

a)

14

b)

17

c)

21

d)

25

29.

Convert 7/2 into a mixed number.

a)

3 1/2

b)

2 1/2

c)

4 1/2

d)

5 1/2

30.

A 15% tax is added to £320. How much tax should be paid?

a)

£40

b)

£45

c)

£48

d)

£52

31.

A bag of sweets has a ratio of 2:5 for blue to red sweets. If there are 35 red sweets, how many blue sweets are there?

a)

10

b)

12

c)

14

d)

16

32.

Find the area of a triangle with a base of 10 cm and a height of 8 cm.

a)

20 cm²

b)

30 cm²

c)

40 cm²

d)

50 cm²

33.

At night, the temperature was -5°C. During the day, it rose by 12°C. What was the daytime temperature?

a)

5°C

b)

8°C

c)

7°C

34.

Round 8.76 to the nearest whole number.

a)

7

b)

8

c)

9

d)

10

35.

I have 64 marbles. I gave 1/8 of them to a friend. How many marbles did I give away?

a)

6

b)

10

c)

8

36.

Solve for x: 3x + 4 = 13

a)

2

b)

3

c)

4

d)

5

37.

The circumference of a circle is approximately 3 times its diameter. Find the circumference of a circle whose radius is 15 cm.

a)

45 cm

b)

60 cm

c)

75 cm

d)

90 cm

38.

Find the missing angle in a quadrilateral where three angles are 85°, 95°, and 75°.

a)

95°

b)

105°

c)

110°

d)

120°

39.

The ratio of trucks to cars in a parking lot is 3:4. If there are 21 trucks, how many cars are there?

a)

24

b)

28

c)

30

d)

35

40.

Find the value of y when x = 4 in the equation: y = x² - 5

a)

9

b)

11

c)

15

d)

19

41.

Find the volume of a cube with a side length of 6 cm.

a)

36 cm³

b)

64 cm³

c)

216 cm³

d)

125 cm³

42.

What is the area of a triangle with a base of 10 cm and a height of 5 cm?

a)

50 cm²

b)

30 cm²

c)

15 cm²

d)

25 cm²

43.

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

a)

20 cm²

b)

24 cm²

c)

18 cm²

d)

30 cm²

44.

What is the value of y when x = 2 in the equation: y = 3x + 4?

a)

6

b)

4

c)

8

d)

10

45.
What are all prime numbers divisable by?
a)
1, 2, and itself
b)
1 and itself
c)
Every number from 1-10
d)
They aren't divisable at all
46.
Which list has only prime numbers?
a)
2, 3, 4, 5
b)
1, 5, 7, 9
c)
2, 3, 5, 7
d)
2, 4, 6, 8
47.
Which number is prime? 
a)
1
b)
37
c)
63
d)
33
48.

Choose one prime number.

a)

1

b)

2

c)

4

d)

6

49.

Find the nth term of the following sequence...


5, 9, 13, 17...

a)

4n+1

b)

4n-1

c)

n+4

d)

n-4

50.

What is the 10th term in the sequence 4,6,8,10,...?

a)

20

b)

22

c)

24

d)

42

51.

Identify the pattern in the sequence: 1, 4, 9, 16, 25. What is the next number in the sequence?

a)

36

b)

49

c)

81

d)

64

52.

Solve for the unknown term in the sequence using the nth term formula: 7, 11, 15, __, 23.

a)

19

b)

22

c)

13

d)

17

53.

Write 0.19 as percentage

a)

1.9%

b)

19%

c)

190%

d)

0.19

54.

Which of the following shows 2009 in roman numerals?

a)

DDIX

b)

MMIX

c)

MCMCXIX

d)

MDMIX

55.

Jude buys an apple and an orange costing 25p and 15p.
How much change from 50p?

a)

10p

b)

40p

c)

0.1p

d)

4p

56.

Round 35.998 to the nearest whole number

(a)  

57.

0.85 as a fraction is:

a)

85/100

b)

8.5/10

c)

5/8

d)

17/20

58.

Solve x + 3 = 8

(a)  

59.

Solve 2x + 5 = 19

(a)  

60.

What fraction of the counters is white?

a)

1/4

b)

1/3

c)

2/3

61.

How many degrees is the black counters section of the pie chart?

a)

120

b)

200

c)

150

62.

Find the mean of the numbers

(a)  

63.

Find the mode

(a)  

64.

How many prime numbers are in the cloud?

(a)