This worksheet contains 20 questions similar to those found in past non-calculator extension SATs papers at level 6.
This is not a test paper, but a collection of questions for you to practise your maths at this level.
You may need some paper to carry out your working.
- Question 1
- Question 2
- Question 3
- Question 4
- Question 5
- Question 6
- Question 7
Here is an expression.
5y + 4
When y = 1, 5y + 4 = 9, which is odd and square.
For y = 3, y = 2.4 and y = 0.4, state whether the value 5y + 4 is odd, even, square, prime or cube.
(Remember that more than one item can be ticked in each row (e.g. when a number is odd and prime)
|y = 3|
|y = 2.4|
|y = 0.8|
- Question 8
- Question 9
A bath tap delivers 500 cm3 of water every second.
A large bath tub holds 1 m3 of water.
How long does it take to half fill the bath tub to the nearest minute?
(Just write the number)
- Question 10
- Question 11
A bag contains 24 red beads and 10 blue beads.
Maria adds yellow beads to the bag.
The probability of picking a red bead is now 2/3.
How many yellow beads did Maria add to the bag?
- Question 12
The first three patterns of a sequence made of matchsticks are shown below.
The patterns continue to grow in this way.
The perimeter of pattern 1 is 3 matchsticks.
The perimeter of pattern 2 is 4 matchsticks.
Which pattern number will have a perimeter of 51 matchsticks?
- Question 13
- Question 14
Fatima thinks of a number.
She finds 25% of it and then adds 50 to the result.
David's number is half of Fatima's original number.
He finds a fifth of his number and adds 50 to the result.
The sum of their answers is 107.
What number did Fatima first think of?
- Question 15
The circle is divided into 4 parts.
One part is 1/30 of the circle and another part is 1/6 of the circle.
The two remaining parts are equal in area.
What fraction of the circle is one of the remaining parts?
(Write your answer as a fraction in its lowest terms in the form a/b)
- Question 16
- Question 17
- Question 18
500 students in a school were asked to choose their summer sport.
They had to choose between Tennis and Athletics and were not allowed to opt out.
The bar chart shows the results.
How many students chose both sports?
- Question 19
The diagram below is made of squares.
The area of the blue shaded square is 12 cm2.
Calculate the area inside the red square in cm2.
(Just write the number)
- Question 20