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KS2 SATs 2026 Paper 3: reasoning
21 questions · 35 marks. Every question from the paper, recreated, with the official mark scheme, an annotated worked solution and a shadow question (the same skill with new numbers). Open the paper in the Ultimate Exam Question Finder to present it, print it or build a set.
Question 1 (1 mark)
Here are five numbers.
Tick all the numbers that are greater than 1.05
1.03 1.2 0.95 1.51 0.15 (1 mark)
Question 2 (1 mark)
This table shows the times that some children wake up one morning.
Name Time Ken 7:08 Jacob 7:45 Stefan 7:37 Marie 7:23 Lara 6:30 How much later does Jacob wake up than Lara?
(1 mark)
Question 3 (2 marks)
Here are some temperatures recorded in New Zealand in July.
Place Temperature Auckland 11°C Wellington 7°C Christchurch 5°C Queenstown –2°C (a)
What is the difference between the temperatures in Auckland
and Queenstown, in °C?(1 mark)
(b)
The temperature in Christchurch falls by 6 degrees.
What is the new temperature, in °C?
(1 mark)
Question 4 (1 mark)
Write the missing digits to make this subtraction correct.
beginarraycccc & 7 & boxedphantomn & 8 \\ – & 1 & 6 & boxedphantomn \\ hline & 5 & 4 & 6 endarray
(1 mark)
Question 5 (2 marks)
Adam buys 6 apples and 7 peaches.
apples peaches 28p each 32p each How much does he pay, in pounds (£)?
Show your method
(2 marks)
Question 6 (1 mark)
Write these numbers in order, starting with the least.
15/8 13/8 9/8 15/8
(1 mark)
Question 7 (1 mark)
Dev chooses a one-digit number.
He multiplies his number by 6
The tens digit of his answer is 5What was the one-digit number he chose?
(1 mark)
Question 8 (2 marks)
This graph shows the height of a growing plant.
Diagram: A line graph of the height of a plant in cm (0 to 22, a grid line every 2) against the date, 1st January to 1st September. The heights joined by straight lines are: 1st Jan 2 cm, 1st Feb 6 cm, 1st Mar just under 9 cm, 1st Apr just under 12 cm, 1st May 16 cm, 1st Jun 18 cm, 1st Jul 19 cm, 1st Aug 20 cm, 1st Sep 20 cm.
(a)
How much did the plant grow between 1st January and 1st May, in centimetres?
(1 mark)
(b)
During which month did the plant reach half of its final height?
(1 mark)
Question 9 (1 mark)
Olivia says,
“3.7 rounded to the nearest whole number is 3”
Explain why Olivia is not correct.
(1 mark)
Question 10 (1 mark)
Circle the two numbers below that have the total nearest to 40
16 17 25 28
(1 mark)
Question 11 (2 marks)
John packs boxes of toys to sell in his shop.
large box medium box small box 14 toys 10 toys 6 toys He packs 46 large boxes, 62 medium boxes and 70 small boxes.
How many toys does John pack altogether?
Show your method
(2 marks)
Question 12 (2 marks)
Diagram: A coordinate grid from 0 to 12 on both axes. Point A is marked with a cross at (4, 8) and point B at (4, 2). A and B are joined by a straight line.
(a)
Write the coordinates of point B.
(1 mark)
(b)
Triangle ABC is a right-angled triangle.
Point C is not shown.
Two sides of the triangle are equal in length.Draw one cross on the grid where point C could be.
(1 mark)
Question 13 (2 marks)
Ally has two boxes.
Box B is three times heavier than Box A.
The total mass of the boxes is 600 grams.What is the mass of each box, in grams?
(a)
Box A =
(1 mark)
(b)
Box B =
(1 mark)
Question 14 (1 mark)
This number sentence can be completed in different ways.
Show one way to complete it.Write a different whole number in each box.
126 ÷ boxedphantomnn = boxedphantomnn × 7
(1 mark)
Question 15 (2 marks)
A machine in a bakery makes 1,250 loaves of bread in one hour.
The machine runs for 8 hours in one day.
The loaves of bread are packed into boxes of 40How many boxes are filled in one day?
Show your method
(2 marks)
Question 16 (2 marks)
Here are some digit cards.
Diagram: 3 digit cards in a row: 6, 3, 2.
You can use each card more than once.
Use the cards to make:
a prime number
a square number
a multiple of 7(2 marks)
Question 17 (2 marks)
Tick the number sentences that are correct.
1/2 = 0.5 2/5 = 0.2 7/10 = 0.07 9/20 = 0.45 27/100 = 0.27 (2 marks)
Question 18 (2 marks)
Layla is saving to buy a game.
It costs £60
For every £4 that Layla saves,
her mum gives her £1How much must Layla save to reach her target, in pounds (£)?
Show your method
(2 marks)
Question 19 (2 marks)
Here are five cards.
A and B stand for two different whole numbers.Diagram: 5 letter cards in a row: A, A, A, B, B.
The sum of all of the cards is 35
(a)
Give one pair of possible values for A and B.
(1 mark)
(b)
Now write a different pair of values for A and B.
(1 mark)
Question 20 (2 marks)
The triangle in this diagram is isosceles.
Diagram: An isosceles triangle on a horizontal base, with the base line carried on to the right. The angle at the top is a right angle. Angle a is inside the triangle at the bottom left. Angle b is outside the triangle at the bottom right, between the carried-on base line and the right-hand side. Not to scale.
What are the sizes of angles a and b, in degrees?
(a)
a is
(1 mark)
(b)
b is
(1 mark)
Question 21 (3 marks)
This diagram shows a triangle inside a rectangle.
Diagram: A rectangle 38 cm wide and 27 cm tall, shaded. Inside it, near the top left, is an unshaded right-angled triangle: its top side is 13 cm long and goes across, and its left side is 8 cm long and goes down. Not actual size.
What is the area of the shaded section, in cm²?
Show your method
(3 marks)
Questions Crown copyright (Standards and Testing Agency), recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.