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KS2 SATs 2025 Paper 3: reasoning
22 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)
Circle the numbers that have 8 in the thousands place.
84,623 28,436 683,052
8,325 608,231(1 mark)
Question 2 (1 mark)
Tick all the numbers that are less than one million and fifty thousand.
1,400,000 1,049,900 1,060,000 1,030,900 (1 mark)
Question 3 (1 mark)
There were 15,961 people at a football game.
Round this number to the nearest hundred.
(1 mark)
Question 4 (1 mark)
Jack buys 2 kilograms of pears.
He spends £3.28
What is the cost of one kilogram of pears?
(1 mark)
Question 5 (1 mark)
Point P is located at (5, 8) on the grid.
Diagram: A coordinate grid, x from 0 to 10 and y from 0 to 10. Point P is marked at (5, 8).
Point P is translated 4 units right, 6 units down and 2 units left.
What is the location of point P after the three translations?
(1 mark)
Question 6 (2 marks)
The mass of the empty truck is 2,250 kilograms.
It is then loaded with 8 boxes.
The mass of each box is 25 kilograms.
What is the total mass of the truck and its load?
Show your method
(2 marks)
Question 7 (2 marks)
Draw four lines to match each improper fraction to its equivalent mixed number.
52/5 26/4 42/5 27/5 62/4 30/4 42/4 32/5 72/4 62/5 (2 marks)
Question 8 (2 marks)
Ken buys these three items.
Milk Cereal Bread 80p £2.50 £1.15 He pays with a £20 note.
How much change does Ken get?
Show your method
(2 marks)
Question 9 (2 marks)
Here is part of a number line.
Diagram: Part of a number line with a mark at every whole number and arrows at both ends. Only 0 and 5 are labelled, with 0 to the left of 5; there are longer marks at 0, at 5 and 5 marks to the left of 0. An arrow points up to the mark 6 marks to the left of 0.
(a)
Write the number that the arrow is pointing to.
(1 mark)
(b)
Write the number that is 16 less than 7
(1 mark)
Question 10 (2 marks)
Here is some information about four animals in a zoo.
Mass Height Elephant 6,300kg 3.4m Hippo 1,100kg 1.5m Rhino 2,400kg 1.7m Giraffe 1,200kg 6.0m Tick the statements that are true.
The elephant is exactly three times heavier than the rhino. The hippo is a quarter of the height of the giraffe. The rhino is 20cm taller than the hippo. The tallest animal is also the heaviest. (2 marks)
Question 11 (1 mark)
Tick the number sentence that is correct.
Tick one.
0.304 = 4/10 + 3/1000 0.43 = 43/1000 0.403 = 4/10 + 3/1000 0.034 = 3/10 + 4/1000 (1 mark)
Question 12 (1 mark)
Each clock below shows the time in am or pm.
Match each clock to its 24-hour time.
One has been done for you: clock A matches 04:05.
Clock A
Diagram: A clock showing 4:05 am.
Clock B
Diagram: A clock showing 12:35 pm.
Clock C
Diagram: A clock showing 7:20 am.
Clock D
Diagram: A clock showing 10:45 pm.
12:35 04:05 07:20 22:45 19:20 21:45
(1 mark)
Question 13 (1 mark)
Write these numbers in order, starting with the least.
9/100 0.999 99/100 0.009
(1 mark)
Question 14 (2 marks)
Look at this expression.
y + 4
(a)
Tick the value for y that gives a prime number value for y + 4
y = 8 y = 9 y = 10 (1 mark)
(b)
Tick the value for y that gives a square number value for y + 4
y = 5 y = 6 y = 7 (1 mark)
Question 15 (2 marks)
A factory makes T-shirts and dresses.
They pack them in boxes.
(a)
There are 50 T-shirts in a box.
How many T-shirts are there in 250 boxes?
(1 mark)
(b)
There are 40 dresses in a box.
How many boxes are needed for 3,000 dresses?
(1 mark)
Question 16 (1 mark)
These pie charts show the biscuits in two tins.
Tin A has 36 biscuits.
Diagram: Pie chart. plain 120°, ginger 120°, chocolate 120°.
Tin B has 20 biscuits.
Diagram: Pie chart. ginger 180°, chocolate 180°.
Tin B has more chocolate biscuits than Tin A.
Explain why this is incorrect.
(1 mark)
Question 17 (3 marks)
A shop buys 35 boxes of crisps.
Each box contains 48 packets of crisps.
On average, the shop sells 56 packets of crisps each day.
How many days will it take for all of the crisps to be sold?
Show your method
(3 marks)
Question 18 (2 marks)
(a)
Convert 5.65 km to metres.
(1 mark)
(b)
Convert 35.5 cm to metres.
(1 mark)
Question 19 (2 marks)
Jacob has some wooden blocks that are all the same size.
He uses the blocks to make two towers.
Diagram: Two towers of identical blocks standing side by side. The taller tower has 5 blocks and is marked 22 cm high. The smaller tower has 3 blocks. Not actual size.
The height of the taller tower is 22 centimetres.
What is the height of the smaller tower?
Show your method
(2 marks)
Question 20 (1 mark)
This shape is made from equilateral triangles.
Diagram: A large equilateral triangle cut into 4 equal equilateral triangles by joining the middles of its sides. The bottom right one of these is cut into 4 smaller equilateral triangles in the same way, and the bottom left of those small triangles is shaded.
What fraction of the whole shape is shaded?
(1 mark)
Question 21 (2 marks)
Here is some information about a number:
• It has two digits
• It is a multiple of 7
• One of the digits is 8Write all the possible numbers that the number could be.
(2 marks)
Question 22 (2 marks)
This diagram shows four identical parallelograms and a rhombus.
Diagram: Four identical parallelograms fitted round a rhombus in the middle, making a long hexagon. The rhombus has one corner at the middle of the top edge and one at the middle of the bottom edge. The angle at the bottom left corner of the bottom left parallelogram is 115°. The angle of the rhombus at the top corner is marked a.
Not to scale
Calculate the size of angle a.
Show your method
(2 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.