11-plus Mathematics practice paper
Time allowed: 30 minutes
Half a number plus twelve is twenty-seven
What is the number?
Carol's mum buys her a new school skirt in the sale at half price.
The original cost of the skirt was £4.50.
How much change does Carol's mum get from her £10 note?
How many tiles, each 50cm x 50cm, would be needed to cover a floor 5 metres by 6 metres?
In class, 17 children have dogs and 18 have cats.
If 13 have both dogs and cats, find the smallest number of children in the class.
What is the sum of the prime numbers from the range 81 to 90?
A Greek holiday costs £375 per person.
There is a £20 reduction for each child.
How much would it cost for Mr. and Mrs. Greenshaw to go on the holiday and take their three children with them?
Divide 720 in the ratio 7:5
On a regular clock face
what is the size of the smaller angle between 1 and 4?
Find the area and perimeter of a play space which is 19 metres long and 19 metres wide
Susan draws a plan of her school using a scale of 1cm to 7m
On the plan the playground is 10cm long
What is the real length of the playground?
These are the months of the year:
January   February March April
May   June July August
September   October November December
What percentage of the months contain the letter a?
The ages of Grandma, Uncle George and Molly add up to 161
Grandma is twice as old as Uncle George and Uncle George is twice as old as Molly
How old are Grandma, Uncle George and Molly?
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 £300?
Asha knows that her team can wash a car in 12 minutes and a van in 14 minutes.
In the queue she can see a mixture of cars (x) and vans (y).
Which expression will calculate the time taken to service the queue?
Write the correct letter below.
A 14x + 12y
B 26(x + y)
C 12x + 14y
D (x + y)/26
E 12/x + 14/y
What percentage of this grid is shaded?
A piece of wire 72cm long is bent into the shape of a rectangle.
If the rectangle is twice as long as it is wide, what is its area?
y is 1/4 of x
Which of the following is incorrect?
Write the letter below.
A x = 4y
B y = 4x
C y = x/4
D x/y = 4
E y/x = 1/4
Gabriella collects Catch-Em Cards and has 384 in her collection.
However 69 are duplicates so she decides to sell the duplicates
and buys 28. How many cards does she have in her collection now?
The ratio of cars to vans in the town centre car park is 8:3
If there are 9 vans in the car park, how many cars are there?
Toby is arranging plates of food for a party.
He has 3 types of sandwich, 4 types of cake, and 4 types of biscuit.
Which formula shows the number of possible combinations of sandwich, cake and biscuit on a plate?
Circle the correct letter.
A (3 x 4) + (3 x 4)
B 3 x 4 x 4
C (3 x 4) + (4 x 4)
D 3 + 4 + 4
E (4 x 3) + (4 x 4)
Percy has one 50 pence piece, three 20 pence pieces,three 10 pence pieces, and three 2 pence pieces.
How much money does he have?
I went to a shop and bought 10 boxes of matches, the number of matches in each box were:
44, 45, 48, 43, 40, 44, 47, 45, 47, 50, 48,
a) What is the mean (average) number of matches in each box?
b) What is the range of matches in each box?
In a school there are a total of 607 pupils and teachers.
The girls + the teachers = 318
The boys + the teachers = 323
How many teachers, girls and boys are there?
8a + 4b - 7c = x
If a = 7, b = 8, c = 4, what is x?
I had £112 at the end of the month.
I saved 1/7 of it, and spent 1/4 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?
9) 361m², 76m
12) 92, 46 and 23
13) £60 and £360
22) 50.1, 10
23) 34 teachers, 284 girls and 289 boys.