KS3 MATHS DIAGNOSTIC TEST

Approved & Edited by ProProfs Editorial Team

The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.

Learn about Our Editorial Process

| By Pflora41

Pflora41

Community Contributor

Quizzes Created: 2 | Total Attempts: 7,510

Questions: 16 | Attempts: 6,673 | Updated: Jan 15, 2024

Questions

Settings

Create your own Quiz

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

Unless you aim to pursue a career in mathematics and science, having a good base knowledge for numbers isn’t always going to be a huge deal for you. Regardless of your chosen paths in life, however, possessing the ability to perform simple and even somewhat challenging math problems will make you look more educated and ambitious in the eyes of employers and friends alike. Test your mathematics knowledge in this quiz!

Questions and Answers

1.

Divide 4680 by 10
- A.
  
  4860
- B.
  
  46800
- C.
  
  468
- D.
  
  46.8
- E.
  
  0.468
Correct Answer
C. 468

Explanation
L4 question tests division by 10

Rate this question:

4
0
2.

Four minus two point six is

Correct Answer
one point four , 1.4

Explanation
1.4 is the correct answer

Rate this question:

2
4 0
3.

What is 4/ 25 as a percentage ?
- A.
  
  20 %
- B.
  
  30%
- C.
  
  18%
- D.
  
  16%
- E.
  
  10%
Correct Answer
D. 16%

Explanation
equivalent fraction and conversion top of L4

Rate this question:

3
1
4.
- A.
  
  Length of spade is 1.0m
- B.
  
  Length of spade is 1.2m
- C.
  
  Length of spade is 0.8m
- D.
  
  Length of spade is 1.4m
- E.
  
  Length of spade is 1cm
Correct Answer
A. Length of spade is 1.0m

Explanation
understanding dimensions and adding decimals L4

Rate this question:

2
4
5.

Find 1/3 of 99
- A.
  
  66
- B.
  
  32
- C.
  
  36
- D.
  
  12
- E.
  
  33
Correct Answer
E. 33

Explanation
L5 fractions of

Rate this question:

3
0
6.

Work out -13 - (-7)
- A.
  
  - 6
- B.
  
  6
- C.
  
  - 20
- D.
  
  20
- E.
  
  +20
Correct Answer
A. - 6

Explanation
negative number operation L5

Rate this question:

2
1
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)
Correct Answer
C. 2x + 3y

Explanation
formulating algebra expression L5

Rate this question:

1
0
8.

What is twice the value of 5 squared ?
- A.
  
  15
- B.
  
  20
- C.
  
  50
- D.
  
  1
- E.
  
  100
Correct Answer
C. 50

Explanation
L5 square numbers

Rate this question:

2
0
9.

If a = 3 , b = 2 , find the value of
- A.
  
  18
- B.
  
  22
- C.
  
  24
- D.
  
  25
- E.
  
  32
Correct Answer
D. 25

Explanation
top of L5 substituition

Rate this question:

2
1
10.

Describe the transformation that takes triangle P to Q
- A.
  
  Reflection about the line x=y
- B.
  
  Rotation of 90 degrees about (1,1)
- C.
  
  Rotation of 180 degrees about the origin
- D.
  
  Reflection about the x axis
- E.
  
  Reflection about the y axis
Correct Answer
C. Rotation of 180 degrees about the origin

Explanation
2d rotation about a point L6

Rate this question:

1
0
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
Correct Answer
E. 145

Explanation
supplementary angles L6

Rate this question:
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
Correct Answer
A. 65 cm squared

Explanation
area of trapezium L6

Rate this question:

0
1
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
Correct Answer
B. 600000 litres

Explanation
capacity and conversion of units L7

Rate this question:
14.

Estimate the proportion of Cats from the pie chart?
- A.
  
  30
- B.
  
  1/5
- C.
  
  20%
- D.
  
  0.4
- E.
  
  34%
Correct Answer
E. 34%

Explanation
estimating and proportion as a percentage L7

Rate this question:
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
Correct Answer
A. 18 km

Explanation
speed distance relationship L7

Rate this question:

1
0
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
Correct Answer
D. 5, 6, 7, 8, 9, 10, 11

Explanation
top of level 7, combining two inequalities

Rate this question:

2
0