# KS3 MATHS DIAGNOSTIC TEST

16 Questions

Test to identify which NC level student is working at

• 1.
Divide 4680 by 10
• A.

4860

• B.

46800

• C.

468

• D.

46.8

• E.

0.468

• 2.
Four minus two point six is
• 3.
What is 4/ 25 as a percentage ?
• A.

20 %

• B.

30%

• C.

18%

• D.

16%

• E.

10%

• 4.
• A.

• B.

• C.

• D.

• E.

• 5.
Find 1/3 of 99
• A.

66

• B.

32

• C.

36

• D.

12

• E.

33

• 6.
Work out -13 - (-7)
• A.

- 6

• B.

6

• C.

- 20

• D.

20

• E.

+20

• 7.
Find a formula for the perimeter of the given shape
• A.

3xy

• B.

5xy

• C.

2x + 3y

• D.

3x + 2y

• E.

5(x +y)

• 8.
What is twice the value of 5 squared ?
• A.

15

• B.

20

• C.

50

• D.

1

• E.

100

• 9.
If a = 3 , b = 2 , find the value of
• A.

18

• B.

22

• C.

24

• D.

25

• E.

32

• 10.
Describe the transformation that takes triangle P to Q
• A.

• B.

Rotation of 90 degrees about (1,1)

• C.

Rotation of 180 degrees about the origin

• D.

• E.

• 11.
Find the angle X from the figure shown?
• A.

35 degrees

• B.

55 degrees

• C.

Impossible to work out

• D.

90 - 35

• E.

145

• 12.
Find the area of the following shape?
• A.

65 cm squared

• B.

75 cm squared

• C.

31 cm squared

• D.

Missing length impossible to work out

• E.

55 cm squared

• 13.
Find the capacity of the following tank. Length is 15m, width is 10m and its height is 4m
• A.

600 cm squared

• B.

600000 litres

• C.

600 litres

• D.

600 cm cubed

• E.

6000litres

• 14.
Estimate the proportion of Cats from the pie chart?
• A.

30

• B.

1/5

• C.

20%

• D.

0.4

• E.

34%

• 15.
A car travelling at 54km/h takes 20 minutes to travel from Brighton to Worthing. Find the distance between them?
• A.

18 km

• B.

27 km

• C.

20km

• D.

6km

• E.

54km

• 16.
Find the integer solutions of x for the following inequalities?3x - 5 > 7 and x < 12
• A.

-1, 0, 1, 2, 3, 4

• B.

1,2,3,4,5,6,7,8,9,10,11

• C.

4, 5, 6, 7, 8, 9, 10, 11, 12

• D.

5, 6, 7, 8, 9, 10, 11

• E.

x = 4

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