Practice Test
Pass the Police Numerical Reasoning Test

1) A grocer has sold £429 worth of fruit and vegetables. If there are cheques for £23.70, £50.35 and £26.95 and the rest is paid in cash, how much cash should there be?

a) £328
b) £101
c) £302.50
d) £428
e) £352

2) On average 1 out of every 25 shops owners experience violent assault. Out of 300 shops how many shops owners are violently assaulted?

a) 3
b) 4
c) 6
d) 8
e) 12

3) How much money remains if I have £55 and spend £23.75?

a) £30.75
b) £31.25
c) £32.50
d) £33.75
e) £33.15

4) You are allowed 22 days holiday, and have already taken 10 whole days leave and 6 half days leave, how many days holiday do you have remaining?

a) 8
b) 8.5
c) 9
d) 9.5
e) 10

5) You withdraw 40% of your savings from an account which holds £800. How much remains in your account?

a) £380
b) £420
c) £440
d) £480
e) £490

6) £13.83 is spent on christmas shopping. How much change would you get form £20.00

a) £5.63
b) £6.17
c) £6.47
d) £6.67
e) £4.37

7) An oil drum has a maximum capacity of 800 litres. If the barrel is 75% full how many litres are required to fill it to its maximum?

a) 200
b) 300
c) 400
d) 600
e) 800

8) Eight cakes cost £6.08, how much is the price of one cake?

a) 74p
b) 76p
c) 80p
d) 81p
e) 82p

9) If a car journey of 490 miles takes 7 hours, what is the average speed of the car?

a) 55 mph
b) 60 mph
c) 65 mph
d) 70 mph
e) 72 mph

10) What is the average (mean) height of a group rowers if two are 1.80m tall, three are 1.95m in height and one is 2.10m tall?

a) 1.96 m
b) 1.90 m
c) 1.95 m
d) 1.94 m
e) 1.92 m

11) One case containing 42 bottles of orange juice cost £6.30. How much will 5 bottles of juice cost?

a) 10p
b) 25p
c) 50p
d) 65p
e) 75p

12) One vehicle in 15 is stopped in a drink drive campaign by the Police. How many vehicles will have been stopped out of 225?

a) 11
b) 15
c) 13
d) 12
e) 14

13) One carpet tile measures 50cm by 50cm. How many tiles are required to cover a floor which measures 10m by 2m?

a) 40
b) 60
c) 80
d) 90
e) 100

14) What is the total weight of five parcels each 200g and six parcels each 7.5kg?

a) 37kg
b) 38kg
c) 39kg
d) 42kg
e) 46kg

15) You start a shift at 2:30pm and finish at 10:30pm, how many hours will you have worked in five days?

a) 30
b) 35
c) 40
d) 45
e) 60

16) 8 magazines contain 110 pages each. How many pages are there in total?

a) 440
b) 660
c) 800
d) 880
e) 900

17) If you buy a CD for £6.79, what change is due from £10.00?
a) 22p
b) 23p
c) £3.21
d) £3.32
e) £4.21

18) You walk daily for 30 minutes, how much time do I spend walking in 10 days?

a) 3.5 hours
b) 4 hours
c) 5 hours
d) 5.5 hours
e) 6 hours

19) If my weekly paper bill is £3.50 and the delivery charge 45p per week, how much do I have to pay over six weeks?

a) £23.70
b) £22.30
c) £21.70
d) £24.70
e) £23.20

20) What is the average weekly wage of a team of five people whose wages are £220, £340, £325, £315 and £240?

a) £220
b) £288
c) £300
d) £320
e) £324

21) If turf costs 2.50 per metre, how much will 45m cost?

a) £106.50
b) £112.50
c) £120
d) £124.50
e) £126

22) What is the average age of a group of children whose individual ages are 13yrs, 15yrs, 8yrs, 7yrs, 7yrs?

a) 11
b) 12
c) 15
d) 13
e) 10

23) A motorist is travelling at 60mph, how far will he have travelled in 24 minutes

a) 21
b) 22
c) 24
d) 25
e) 26

24) If you withdraw £440 from a cashpoint. You get half the money in £20 notes and the remainder in £10 notes. How many notes do you receive?

a) 33
b) 31
c) 28
d) 24
e) 22

25) How many pieces of string 1.25m can be cut from a ball which is 100m long?

a) 130
b) 125
c) 95
d) 90
e) 80

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