11-plus Mathematics practice paper

from www.passedpapers.com


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Date


Score




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25 questions

Time allowed: 30 minutes



Question 1

Divide 300 in the ratio 3:2



Answer ________________________



Question 2

The table shows the highest temperature in Edinburgh each day for a week.

What is the mean of these temperatures?

Monday14
Tuesday15
Wednesday17
Thursday19
Friday16
Saturday18
Sunday20




Answer ________________________



Question 3

Little Bury has a total population of 1138.

Men and women together total 1037 and women and children together total 630.

How many women are there?

Answer ________________________



Question 4

Ahmed and his friend Isabella held a cake sale at their school to raise money for charity.

They sold 63 at 10p each and 77 at 5p each.

How much money did they make at their sale?



Answer ________________________



Question 5

Find the area and perimeter of a hut which is 8 metres long and 18 metres wide



Answer ________________________



Question 6

After I purchased a hat costing £2.00 one quarter of what I had left was £3.48

How much money did I start with?

Answer ________________________



Question 7

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 8

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

The original cost of the skirt was £6.50.

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



Answer ________________________



Question 9

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

On the plan the playground is 8cm long

What is the real length of the playground?



Answer ________________________



Question 10

Four rectangles each of length 32cm and width 12cm 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 11

The average of six numbers is 5.67.

If one of the numbers is 3, what is the average of the other 5 numbers?

Answer ________________________



Question 12

Hugo will be x years old 6 years from now.

How old was he 9 years ago?

(Your answer should include x.)



Answer ________________________



Question 13

The distance from Leeds to Newcastle is 152km.
5 miles is approximately 8 kilometres.

Calculate the approximate distance in miles from Leeds to Newcastle.



Answer ________________________



Question 14

Carol collects Catch-Em Cards and has 383 in her collection.

However 55 are duplicates so she decides to sell the duplicates

and buys 38. How many cards does she have in her collection now?



Answer ________________________



Question 15

Year 6 are all going for a day trip to France.

There are 31 children in Year 6 and the trip costs £55 each.

How much money must be collected in total from the children?



Answer ________________________



Question 16

Give the size of the angle at the centre of this regular polygon.





Answer ________________________



Question 17

There are 1116 pupils in a school. There are 15 boys to every 16 girls.

How many boys and girls attend the school?



Answer ________________________



Question 18

This machine doubles and then adds 7.

?----->
   
----->45

Which number has been put in?



Answer ________________________



Question 19

Hugo halves his father's age.

He then adds 12.

The result is 34.

How old is his father?



Answer ________________________



Question 20

When this net is folded into a cube the numbers on opposite faces add up to 118.





Answer ________________________



Question 21

Henry collected the following data during a survey of his yeargroup.

 Favourite Message System
TelephoneTextEmail
Boys1097
Girls7 ?9


52 pupils completed the survey.

How many girls gave texts as their favourite way of sending messages?



Answer ________________________



Question 22

On a regular clock face



what is the size of the smaller angle between 3 and 6?



Answer ________________________



Question 23

60 children are going on a school holiday.

Each child takes £x pocket money for the holiday.

Each child also takes £y pocket money for the journey.

What is the formula for the total amount of pocket money, in pounds, taken by the group?

Circle the correct letter.

A  60xy

B  30x + 30y

C  60 + x + y

D  60x + y

E  60(x + y)



Answer ________________________



Question 24

y is 1/3 of x

Which of the following is incorrect?

Write the letter below.

A  x = 3y

B  y = 3x

C  y = x/3

D  x/y = 3

E  y/x = 1/3



Answer ________________________



Question 25

Which value does the 3 in 73,575 represent? Circle the correct letter.

A   3,000

B   3

C   300

D   30,000

E   30



Answers



1) 180:120

2) 17

3) 529

4) £10.15

5) 144m², 52m

6) £15.92

7) A - 1/2

8) £6.75

9) 56

10) 176cm

11) 6.20

12) x-15

13) 95 miles

14) 366

15) 1705

16) 120°

17) 540 boys and 576 girls

18) 19

19) 44

20) 47

21) 10

22) 90°

23) E

24) B

25) A