11-plus Mathematics practice paper
Time allowed: 30 minutes
Two coaches are booked for the school trip.
The first coach seats 64 passengers, and the second 49.
9 adults, 59 boys and 41 girls are going on the trip.
How many spare seats will there be?
You multiply a number by itself.
The answer is then multiplied by the number you started with.
The new number is 125.
What number did you start with?
Mrs Tenison spent £10.73 on 37 busy lizzie plants.
What was the cost of each plant?
Year 6 collected information on how they came to school.
|Method||No. of pupils|
The mean is 14.
How many pupils came by bus?
Four rectangles each of length 28cm and width 13cm are arranged
to form the square shape shown below (the diagram is not drawn to scale).
What is the perimeter of this square shape?
Look at this table showing the performance of the school hockey team.
How many matches did the team not win?
Little Minster has a total population of 1202.
Men and women together total 1084 and women and children together total 682.
How many women are there?
Michael is comparing the cost of hiring cleaners.
Cleaner A charges 12h + 20.
Cleaner B charges 10h + 23.
If he hires a cleaner for 6 hours (h), what would be the difference in cost between the two cleaners?
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 £310?
Calculate the area of the shape below.
If 6x + 8 = 80 - 6x, what is x?
In a concert hall, there are 518 seats.
273 tickets are sold in advance.
192 tickets are sold at the door.
How many empty chairs are there during the concert?
In class, 20 children have dogs and 17 have cats.
If 15 have both dogs and cats, find the smallest number of children in the class.
Find the area and perimeter of a skateboard zone which is 11 metres long and 14 metres wide
A lucky dip bag contains the following balls:
6 red 3 blue 6 green 5 yellow 3 white
To win a prize, I have to pick a white ball.
What are the chances that I don't win a prize?
Write these numbers out in order of size, starting with the smallest:
4.7 4.67 4.74 4.767 4.747
How many tiles, each 50cm x 50cm, would be needed to cover a floor 5 metres by 8 metres?
School books are being packed away in boxes.
Each box holds 55 books.
How many boxes are needed for 770 books?
The ratio of cars to vans in the town centre car park is 9:3
If there are 12 vans in the car park, how many cars are there?
Out of a class of 38 children, 18 have younger brothers and sisters.
Approximately what proportion is this? Circle the correct letter.
Ahmed has keyboard lessons which cost £3.40 each week.
He has three twelve-week terms.
What is the total cost of his lessons in a year?
In a school there are a total of 586 pupils and teachers.
The girls + the teachers = 307
The boys + the teachers = 301
How many teachers, girls and boys are there?
625 raffle tickets were sold by 25 pupils in one school.
On average, how many tickets did each pupil sell?
Susan draws a chart where the shaded area shows the number of pupils at her school who travel by bus
How many pupils go to Susan's school?
Simplify the equation 4c + 4 = 8c - 4
Write the value of c below.
9) £62 and £372
14) 154m², 50m
16) 4.67 4.7 4.74 4.747 4.767
20) A - 1/2
22) 22 teachers, 285 girls and 279 boys.