11-plus Mathematics practice paper
Time allowed: 30 minutes
A number machine adds 18, multiplies by 8 and then takes away 25.
If 191 comes out, what number went in?
Rearrange 12c - 3 = 5c + 32
Write the value of c below.
The ratio of cars to vans in the town centre car park is 17:3
If there are 18 vans in the car park, how many cars are there?
After I purchased a book costing £3.20 one sixth of what I had left was £3.27
How much money did I start with?
You multiply a number by 3.
The answer is doubled then divided by 6.
The result is 7.
What number did you start with?
What is the sum of the prime numbers from the range 11 to 20?
How many fives are there in 930?
In class, 23 children have dogs and 20 have cats.
If 17 have both dogs and cats, find the smallest number of children in the class.
Look at this grid in which there are some empty squares.
When every square is filled in, each row and column add up to 38.
Which number should be in the square with the question mark?
This shape has been created using two identical isosceles triangles.
What is the angle at point A?
Some children collect toy cars.
Thalia has half as many toy cars as Toby, who has half as many as Jyoti.
Together they have 126 toy cars.
How many toy cars do Thalia, Toby and Jyoti have?
There are 575 pupils in a school. There are 11 boys to every 12 girls.
How many boys and girls attend the school?
I had £84 at the end of the month.
I saved 1/7 of it, and spent 1/3 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?
Jyoti draws a plan of her school using a scale of 1cm to 9m
On the plan the playground is 6cm long
What is the real length of the playground?
Rachel's mum buys her a new school skirt in the sale at half price.
The original cost of the skirt was £8.50.
How much change does Rachel's mum get from her £10 note?
John is comparing the cost of hiring cleaners.
Cleaner A charges 13h + 20.
Cleaner B charges 12h + 23.
If he hires a cleaner for 5 hours (h), what would be the difference in cost between the two cleaners?
When this net is folded into a cube the numbers on opposite faces add up to 112.
Look at this table showing the performance of the school hockey team.
How many matches did the team not win?
Isabella has 31 pens and she ties them into bundles of 8.
How many pens does she have left over?
Olivia collected the following data during a survey of pupils in her class.
|Ice Rink||Cinema||Swimming Pool|
48 pupils took part in the survey.
How many girls said the Swimming Pool was their favourite?
How many tiles, each 50cm x 50cm, would be needed to cover a floor 5 metres by 4 metres?
In a concert hall, there are 571 seats.
294 tickets are sold in advance.
191 tickets are sold at the door.
How many empty chairs are there during the concert?
Which value does the 3 in 23,628 represent? Circle the correct letter.
Mrs Greenshaw spent £8.58 on 39 busy lizzie plants.
What was the cost of each plant?
George will be x years old 9 years from now.
How old was he 8 years ago?
(Your answer should include x.)
11) 18, 36 and 72
12) 275 boys and 300 girls