11-plus Mathematics practice paper
Time allowed: 30 minutes
The ages of Grandma, Uncle Ahmed and Gabriella add up to 105
Grandma is twice as old as Uncle Ahmed and Uncle Ahmed is twice as old as Gabriella
How old are Grandma, Uncle Ahmed and Gabriella?
What fraction of an hour is 55 minutes?
Write your answer in its lowest possible terms.
Ben let me finish his box of mints.
He had eaten 6/8 of them.
If 20 were left for me, how many had Ben eaten?
There are 891 pupils in a school. There are 16 boys to every 17 girls.
How many boys and girls attend the school?
What is the area of side A?
Fuses cost 88p each.
How much will 9 fuses cost?
You multiply a number by 3.
The answer is doubled then divided by 6.
The result is 13.
What number did you start with?
On holiday, Mr Allen buys some perfume for 14 dollars and a book for 9 dollars.
He calculates that the perfume cost £5.60 and the book cost £3.60.
How much would a 5 dollar T-shirt cost in pounds?
Out of a class of 36 children, 17 have younger brothers and sisters.
Approximately what proportion is this? Circle the correct letter.
Mrs Allen spent £8.06 on 31 busy lizzie plants.
What was the cost of each plant?
The distance from Bristol to Brighton is 272km.
5 miles is approximately 8 kilometres.
Calculate the approximate distance in miles from Bristol to Brighton.
What is the size of angle x?
725 raffle tickets were sold by 25 pupils in one school.
On average, how many tickets did each pupil sell?
Thalia collected the following data during a survey of her friends.
100 pupils completed the survey.
How many boys said that Maths was their favourite?
School books are being packed away in boxes.
Each box holds 61 books.
How many boxes are needed for 793 books?
On a regular clock face
what is the size of the smaller angle between 5 and 7?
When this net is folded into a cube the numbers on opposite faces add up to 130.
Oliver is 12 and his Dad is 44.
How old will Oliver be when his age will be exactly half what his Dad's will be?
Some children collect soft toys.
Deborah has half as many soft toys as Alan, who has half as many as Gabriella.
Together they have 84 soft toys.
How many soft toys do Deborah, Alan and Gabriella have?
Give the size of the angle at the centre of this regular polygon.
Mr Jones is ordering some mathematics books over the internet.
The books cost £4 each and the postage is £6.99 for an order of any size.
Which expression gives the total cost in pounds of ordering x books? Write the correct letter below.
A 4x + 6.99x
C 4 + 6.99x
D 4x - 6.99
E 4x + 6.99
3a + 7b - 6c = x
If a = 7, b = 3, c = 8, what is x?
Mr. Jay's supermarket bill is £17.19.
At the checkout, the bill is reduced by £1.13 for vouchers.
What is the new amount he has to pay?
Henry will be x years old 9 years from now.
How old was he 9 years ago?
(Your answer should include x.)
Rearrange 9c - 6 = 4c + 14
Write the value of c below.
1) 60, 30 and 15
4) 432 boys and 459 girls
9) A - 1/2
11) 170 miles
19) 12, 24 and 48