11-plus Mathematics practice paper

from www.passedpapers.com


Name


Date


Score




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25 questions

Time allowed: 30 minutes



Question 1

A number machine adds 18, multiplies by 8 and then takes away 25.

If 191 comes out, what number went in?

Answer ________________________



Question 2

Rearrange 12c - 3 = 5c + 32

Write the value of c below.



Answer ________________________



Question 3

The ratio of cars to vans in the town centre car park is 17:3

If there are 18 vans in the car park, how many cars are there?



Answer ________________________



Question 4

After I purchased a book costing £3.20 one sixth of what I had left was £3.27

How much money did I start with?

Answer ________________________



Question 5

You multiply a number by 3.

The answer is doubled then divided by 6.

The result is 7.

What number did you start with?



Answer ________________________



Question 6

What is the sum of the prime numbers from the range 11 to 20?



Answer ________________________



Question 7

How many fives are there in 930?



Answer ________________________



Question 8

In class, 23 children have dogs and 20 have cats.

If 17 have both dogs and cats, find the smallest number of children in the class.

Answer ________________________



Question 9

Look at this grid in which there are some empty squares.

 13 
  ? 17
15 13


When every square is filled in, each row and column add up to 38.

Which number should be in the square with the question mark?



Answer ________________________



Question 10

This shape has been created using two identical isosceles triangles.



What is the angle at point A?



Answer ________________________



Question 11

Some children collect toy cars.

Thalia has half as many toy cars as Toby, who has half as many as Jyoti.

Together they have 126 toy cars.

How many toy cars do Thalia, Toby and Jyoti have?



Answer ________________________



Question 12

There are 575 pupils in a school. There are 11 boys to every 12 girls.

How many boys and girls attend the school?



Answer ________________________



Question 13

I had £84 at the end of the month.

I saved 1/7 of it, and spent 1/3 of it on music.

Then I bought 2 magazines for £3 each.
Half the rest of it I spent on a present for my brother.

How much was the present?


Answer ________________________



Question 14

Jyoti draws a plan of her school using a scale of 1cm to 9m

On the plan the playground is 6cm long

What is the real length of the playground?



Answer ________________________



Question 15

Rachel's mum buys her a new school skirt in the sale at half price.

The original cost of the skirt was £8.50.

How much change does Rachel's mum get from her £10 note?



Answer ________________________



Question 16

John is comparing the cost of hiring cleaners.

Cleaner A charges 13h + 20.

Cleaner B charges 12h + 23.

If he hires a cleaner for 5 hours (h), what would be the difference in cost between the two cleaners?



Answer ________________________



Question 17

When this net is folded into a cube the numbers on opposite faces add up to 112.





Answer ________________________



Question 18

Look at this table showing the performance of the school hockey team.

YearWonLostDrawn
2016685
2017893
2018359


How many matches did the team not win?



Answer ________________________



Question 19

Isabella has 31 pens and she ties them into bundles of 8.

How many pens does she have left over?



Answer ________________________



Question 20

Olivia collected the following data during a survey of pupils in her class.

 Favourite Outings
Ice RinkCinemaSwimming Pool
Girls810 ?
Boys915


48 pupils took part in the survey.

How many girls said the Swimming Pool was their favourite?



Answer ________________________



Question 21

How many tiles, each 50cm x 50cm, would be needed to cover a floor 5 metres by 4 metres?



Answer ________________________



Question 22

In a concert hall, there are 571 seats.

294 tickets are sold in advance.

191 tickets are sold at the door.

How many empty chairs are there during the concert?



Answer ________________________



Question 23

Which value does the 3 in 23,628 represent? Circle the correct letter.

A   3,000

B   3

C   300

D   30,000

E   30



Question 24

Mrs Greenshaw spent £8.58 on 39 busy lizzie plants.

What was the cost of each plant?



Answer ________________________



Question 25

George will be x years old 9 years from now.

How old was he 8 years ago?

(Your answer should include x.)



Answer ________________________



Answers



1) 9

2) 5

3) 102

4) £22.82

5) 7

6) 60

7) 186

8) 26

9) 15

10) 36°

11) 18, 36 and 72

12) 275 boys and 300 girls

13) 19

14) 54

15) £5.75

16) 2

17) 44

18) 39

19) 7

20) 15

21) 80

22) 86

23) A

24) 22p

25) x-17