11-plus Mathematics practice paper

from www.passedpapers.com


Name


Date


Score




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25 questions

Time allowed: 30 minutes



Question 1

Two coaches are booked for the school trip.

The first coach seats 64 passengers, and the second 49.

9 adults, 59 boys and 41 girls are going on the trip.

How many spare seats will there be?



Answer ________________________



Question 2

You multiply a number by itself.

The answer is then multiplied by the number you started with.

The new number is 125.

What number did you start with?



Answer ________________________



Question 3

Mrs Tenison spent £10.73 on 37 busy lizzie plants.

What was the cost of each plant?



Answer ________________________



Question 4

Year 6 collected information on how they came to school.

MethodNo. of pupils
Walk10
Car15
Bus 
Bicycle15
Train9


The mean is 14.

How many pupils came by bus?



Answer ________________________



Question 5

Four rectangles each of length 28cm and width 13cm are arranged
to form the square shape shown below (the diagram is not drawn to scale).



What is the perimeter of this square shape?



Answer ________________________



Question 6

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

YearWonLostDrawn
2017458
2018948
2019966


How many matches did the team not win?



Answer ________________________



Question 7

Little Minster has a total population of 1202.

Men and women together total 1084 and women and children together total 682.

How many women are there?

Answer ________________________



Question 8

Michael is comparing the cost of hiring cleaners.

Cleaner A charges 12h + 20.

Cleaner B charges 10h + 23.

If he hires a cleaner for 6 hours (h), what would be the difference in cost between the two cleaners?



Answer ________________________



Question 9

VAT (Value Added Tax) is charged at 20% on some goods.

So an item costing £100 would have VAT of £20 added to its cost giving a total price of £120.

What is the VAT and total price of an item costing £310?



Answer ________________________



Question 10

Calculate the area of the shape below.





Answer ________________________



Question 11

If  6x  +  8  =  80  -  6x,   what is x?



Answer ________________________



Question 12

In a concert hall, there are 518 seats.

273 tickets are sold in advance.

192 tickets are sold at the door.

How many empty chairs are there during the concert?



Answer ________________________



Question 13

In class, 20 children have dogs and 17 have cats.

If 15 have both dogs and cats, find the smallest number of children in the class.

Answer ________________________



Question 14

Find the area and perimeter of a skateboard zone which is 11 metres long and 14 metres wide



Answer ________________________



Question 15

A lucky dip bag contains the following balls:

6 red    3 blue    6 green   5 yellow    3 white

To win a prize, I have to pick a white ball.

What are the chances that I don't win a prize?



Answer ________________________



Question 16

Write these numbers out in order of size, starting with the smallest:

4.7    4.67    4.74    4.767    4.747



Answer ________________________



Question 17

How many tiles, each 50cm x 50cm, would be needed to cover a floor 5 metres by 8 metres?



Answer ________________________



Question 18

School books are being packed away in boxes.

Each box holds 55 books.

How many boxes are needed for 770 books?



Answer ________________________



Question 19

The ratio of cars to vans in the town centre car park is 9:3

If there are 12 vans in the car park, how many cars are there?



Answer ________________________



Question 20

Out of a class of 38 children, 18 have younger brothers and sisters.

Approximately what proportion is this? Circle the correct letter.

A   1/2

B   2/3

C   1/4

D   3/5

E   3/9



Answer ________________________



Question 21

Ahmed has keyboard lessons which cost £3.40 each week.

He has three twelve-week terms.

What is the total cost of his lessons in a year?



Answer ________________________



Question 22

In a school there are a total of 586 pupils and teachers.

The girls + the teachers = 307

The boys + the teachers = 301

How many teachers, girls and boys are there?

Answer ________________________



Question 23

625 raffle tickets were sold by 25 pupils in one school.

On average, how many tickets did each pupil sell?



Answer ________________________



Question 24

Susan draws a chart where the shaded area shows the number of pupils at her school who travel by bus



How many pupils go to Susan's school?



Answer ________________________



Question 25

Simplify the equation 4c + 4 = 8c - 4

Write the value of c below.



Answer ________________________



Answers



1) 4

2) 5

3) 29p

4) 21

5) 164cm

6) 37

7) 564

8) 9

9) £62 and £372


10) 245cm²

11) 6

12) 53

13) 22

14) 154m², 50m

15) 20/23

16) 4.67    4.7    4.74    4.747    4.767



17) 160

18) 14

19) 36

20) A - 1/2

21) £122.40

22) 22 teachers, 285 girls and 279 boys.

23) 25

24) 632

25) 2