Sample police test questions and answers for Numerical tests

As part of the police tests you may also have to sit a numeracy assessment.

The most effective way to prepare for this type of test is to practise sample numerical reasoning tests.

Apart from these sample questions, there are a number of alternative methods for improving your scores. You may wish to invest in a psychometric numerical reasoning test booklet so that you can practise more tests. You can obtain more sample tests through the website The more you practise the better you will become at answering these types of questions.

Remember – practice makes perfect!

In the next section I have provided you with a number of sample numeracy tests to help you prepare. Try to answer the questions quickly and without the use of a calculator. You have 5 minutes in which to answer the 14 questions.

Numerical reasoning questions – Exercise 1

1. A wallet has been found containing one £20 note, five £5 notes, a fifty pence coin and three 2 pence coins. How much is in the wallet?


2. Subtract 200 from 500, add 80, subtract 30 and multiply by 2. What number do you have?


3. A multi-storey car park has 8 floors and can hold 72 cars on each floor. In addition to this there is also allocation for 4 disabled parking spaces per floor. How many spaces are there in the entire car park?


4. A man saves £12.50 per month. How much would he have saved after 1 year?


5. If there have been 60 accidents along one stretch of a motorway in the last year, how many on average have occurred each month?


6. Out of 40,000 applicants only 4,000 are likely to be successful. What percentage will fail?


7. What percentage of 400 is 100?


8. Malcolm’s shift commences at 0615 hours. If his shift is 10.5 hours long what time will he finish?


9. If Mary can bake 12 cakes in 2 hours how many will she bake in 10 hours?


10. If there are 24 hours in the day. How many hours are there in one week?


11. Susan has 10 coins and gives 5 of them to Steven and the remainder to Alan. Alan gives 3 of his coins to Steven who in turn gives half of his back to Susan. How many is Susan left with?


12. Add 121 to 54. Now subtract 75 and multiply by 10. What is the result?


13. Ahmed leaves for work at 8am and arrives at work at 9.17am. He then leaves work at 4.57pm and arrives back at home at 6.03pm. How many minutes has Ahmed spent travelling?


14. A car travels at 30 km/h for the first hour, 65km/h for the second hour, 44 km/h for the third hour and 50 km/h for the fourth hour. What is the car’s average speed over the 4-hour journey?


Answers to numerical reasoning questions – Exercise 1

1. £45.56

2. 700

3. 608

4. £150

5. 5

6. 90%

7. 25%

8. 1645 hours or 4.45pm

9. 60 cakes

10. 168

11. 4

12. 1000

13. 143 minutes

14. 47.25 km/h

Remember to practice your police numerical tests without the aid of a calculator. You will not normally be permitted to use one during the national police officer assessment centre, but do make sure you check with your chosen constabulary first.

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