11-plus Mathematics practice paper

from www.passedpapers.com


Name


Date


Score




_____________________________


_____________________________


_____________________________




25 questions

Time allowed: 30 minutes



Question 1

Half a number plus twelve is twenty-seven

What is the number?



Answer ________________________



Question 2

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

The original cost of the skirt was £4.50.

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



Answer ________________________



Question 3

How many tiles, each 50cm x 50cm, would be needed to cover a floor 5 metres by 6 metres?



Answer ________________________



Question 4

In class, 17 children have dogs and 18 have cats.

If 13 have both dogs and cats, find the smallest number of children in the class.

Answer ________________________



Question 5

What is the sum of the prime numbers from the range 81 to 90?



Answer ________________________



Question 6

A Greek holiday costs £375 per person.

There is a £20 reduction for each child.

How much would it cost for Mr. and Mrs. Greenshaw to go on the holiday and take their three children with them?



Answer ________________________



Question 7

Divide 720 in the ratio 7:5



Answer ________________________



Question 8

On a regular clock face



what is the size of the smaller angle between 1 and 4?



Answer ________________________



Question 9

Find the area and perimeter of a play space which is 19 metres long and 19 metres wide



Answer ________________________



Question 10

Susan draws a plan of her school using a scale of 1cm to 7m

On the plan the playground is 10cm long

What is the real length of the playground?



Answer ________________________



Question 11

These are the months of the year:

January     February     March     April

May     June     July     August

September     October     November     December

What percentage of the months contain the letter a?



Answer ________________________



Question 12

The ages of Grandma, Uncle George and Molly add up to 161

Grandma is twice as old as Uncle George and Uncle George is twice as old as Molly

How old are Grandma, Uncle George and Molly?



Answer ________________________



Question 13

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 £300?



Answer ________________________



Question 14

Asha knows that her team can wash a car in 12 minutes and a van in 14 minutes.

In the queue she can see a mixture of cars (x) and vans (y).

Which expression will calculate the time taken to service the queue?

Write the correct letter below.

A  14x + 12y

B  26(x + y)

C  12x + 14y

D  (x + y)/26

E  12/x + 14/y



Answer ________________________



Question 15

What percentage of this grid is shaded?





Answer ________________________



Question 16

A piece of wire 72cm long is bent into the shape of a rectangle.
If the rectangle is twice as long as it is wide, what is its area?



Answer ________________________



Question 17

y is 1/4 of x

Which of the following is incorrect?

Write the letter below.

A  x = 4y

B  y = 4x

C  y = x/4

D  x/y = 4

E  y/x = 1/4



Answer ________________________



Question 18

Gabriella collects Catch-Em Cards and has 384 in her collection.

However 69 are duplicates so she decides to sell the duplicates

and buys 28. How many cards does she have in her collection now?



Answer ________________________



Question 19

The ratio of cars to vans in the town centre car park is 8:3

If there are 9 vans in the car park, how many cars are there?



Answer ________________________



Question 20

Toby is arranging plates of food for a party.

He has 3 types of sandwich, 4 types of cake, and 4 types of biscuit.

Which formula shows the number of possible combinations of sandwich, cake and biscuit on a plate?

Circle the correct letter.

A  (3 x 4) + (3 x 4)

B  3 x 4 x 4

C  (3 x 4) + (4 x 4)

D  3 + 4 + 4

E  (4 x 3) + (4 x 4)



Answer ________________________



Question 21

Percy has one 50 pence piece, three 20 pence pieces,three 10 pence pieces, and three 2 pence pieces.

How much money does he have?



Answer ________________________



Question 22

I went to a shop and bought 10 boxes of matches, the number of matches in each box were:

44, 45, 48, 43, 40, 44, 47, 45, 47, 50, 48,

a) What is the mean (average) number of matches in each box?



Answer ________________________


b) What is the range of matches in each box?



Answer ________________________



Question 23

In a school there are a total of 607 pupils and teachers.

The girls + the teachers = 318

The boys + the teachers = 323

How many teachers, girls and boys are there?

Answer ________________________



Question 24

8a + 4b - 7c = x

If a = 7, b = 8, c = 4, what is x?

Answer ________________________



Question 25

I had £112 at the end of the month.

I saved 1/7 of it, and spent 1/4 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 ________________________



Answers



1) 30

2) £7.75

3) 120

4) 22

5) 172

6) £1815

7) 420:300

8) 90°

9) 361m², 76m

10) 70

11) 50%

12) 92, 46 and 23

13) £60 and £360


14) C

15) 40%

16) 288cm²

17) B

18) 343

19) 24

20) B

21) £1.46

22) 50.1, 10

23) 34 teachers, 284 girls and 289 boys.

24) 60

25) 31