11-plus Mathematics practice paper

from www.passedpapers.com


Name


Date


Score




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25 questions

Time allowed: 30 minutes


Question 1

You multiply a number by 3.

The answer is doubled then divided by 6.

The result is 13.

What number did you start with?



Answer ________________________


Question 2

There are 538 children in a school. There are 48 more girls than boys.

How many boys attend the school?



Answer ________________________


Question 3

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

 12 
  ? 12
15 15


When every square is filled in, each row and column add up to 42.

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



Answer ________________________


Question 4

When this net is folded into a cube the numbers on opposite faces add up to 100.





Answer ________________________


Question 5

The total weight of 2 large and 3 small tins of tomato soup is 1235g.
One large tin weighs 400 grams.
Work out the weight of a small tin.


Answer ________________________


Question 6

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

On average, how many tickets did each pupil sell?



Answer ________________________


Question 7

Some children collect marbles.

Asha has half as many marbles as Ahmed, who has half as many as Carol.

Together they have 119 marbles.

How many marbles do Asha, Ahmed and Carol have?



Answer ________________________


Question 8

The average of six numbers is 6.17.

If one of the numbers is 8, what is the average of the other 5 numbers?

Answer ________________________


Question 9

This is a plan of a room.



What area of carpet will be needed?



Answer ________________________


Question 10

On a regular clock face



what is the size of the smaller angle between 4 and 8?



Answer ________________________


Question 11

Which value does the 1 in 21,664 represent? Circle the correct letter.

A   1,000

B   1

C   100

D   10,000

E   10


Question 12

The ratio of cars to vans in the town centre car park is 13:3

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



Answer ________________________


Question 13

Five friends compared how much pocket money they received each week.

NamePercyCarolSamBenAnnabeth
Amount of pocket money121p118p133p117p105p


What is the range?



Answer ________________________


Question 14

Calculate the perimeter of the shape below.





Answer ________________________


Question 15

Which of the following measurements is approximately the weight of a paperclip.

1 gram
250 grams
1 kilogram
500 grams
1000 kilograms



Answer ________________________


Question 16

7a + 4b - 6c = x

If a = 8, b = 5, c = 6, what is x?

Answer ________________________


Question 17

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

On the plan the playground is 8cm long

What is the real length of the playground?



Answer ________________________


Question 18

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

 Favourite Outings
Ice RinkCinemaSwimming Pool
Girls75 ?
Boys761


49 pupils took part in the survey.

How many girls said the Swimming Pool was their favourite?



Answer ________________________


Question 19

Find the area and perimeter of a room which is 8 metres long and 15 metres wide



Answer ________________________


Question 20

My watch is a 12 hour watch and gains 4 minutes every 2 hours.
If I set my watch to the correct time how many days will it be before it next shows the correct time?


Answer ________________________


Question 21

Nadine collects Catch-Em Cards and has 252 in her collection.

However 55 are duplicates so she decides to sell the duplicates

and buys 35. How many cards does she have in her collection now?



Answer ________________________


Question 22

Oliver is 14 years old and Molly is 8.

They are given £11.00 to be shared between them in the ratio of their ages.

How much will Oliver get and how much will Molly get?


Answer ________________________


Question 23

Rachel collected the following data during a survey of her friends.

 Favourite Subject
ScienceMathsEnglish
Girls111518
Boys14?14


100 pupils completed the survey.

How many boys said that Maths was their favourite?



Answer ________________________


Question 24

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





Answer ________________________


Question 25

What is the length of the line AB?





Answer ________________________


Answers



1) 13

2) 245

3) 18

4) 41

5) 145g

6) 23

7) 17, 34 and 68

8) 5.80

9) 288

10) 120°



11) A

12) 78

13) 28

14) 60cm

15) 1 gram

16) 40

17) 72

18) 23

19) 120m², 46m

20) 15



21) 232

22) £7.00 and £4.00

23) 28

24) 90°

25) 1.2cm

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