Ultimate Exam Question Finder
Every question from real past papers, each with its mark scheme, a worked solution and a shadow: the same question with new numbers.
KS2 SATs 2025 Paper 2: reasoning
23 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 angle that is closest in size to a right angle.
Diagram: Five angles drawn with lines: one at the top on the left of 62°, one at the top on the right of 122°, one in the middle on the left of 32°, one in the middle on the right of 95°, one at the bottom of 166°.
(1 mark)
Question 2 (2 marks)
Write the two missing numbers.
Diagram: A grid of numbers. Going across adds 1,000 and going down adds 100. Row 2, column 1: 5,350. Row 2, column 2: 6,350. Row 3, column 1: 5,450. Row 3, column 2: 6,450. Row 3, column 3: 7,450. Row 4, column 3: 7,550. Row 1, column 1: an empty box. Row 4, column 4: an empty box.
(a)
The missing number at the top of the first column.
(1 mark)
(b)
The missing number at the end of the last row.
(1 mark)
Question 3 (1 mark)
Layla’s money
Diagram: Layla’s money: £2, 20p, 50p.
Adam’s money
Diagram: Adam’s money: 50p, 50p, 50p, 20p, 20p.
How much more money does Layla have than Adam?
(1 mark)
Question 4 (1 mark)
Diagram: A coordinate grid, x from 0 to 10 and y from 0 to 9, with a quadrilateral ABCD drawn. A is at (0, 3), B is at (2, 6), C is at (8, 8), D is at (6, 2).
Match each point to its coordinates.
A (6, 2) B (2, 6) C (0, 3) D (8, 8) (1 mark)
Question 5 (1 mark)
Olivia counts in eights, starting at zero.
Tick all the numbers Olivia should say.
24 square 42 square 78 square 112 square (1 mark)
Question 6 (2 marks)
5,639,728
(a)
Which digit is in the hundred thousands place?
(1 mark)
(b)
What is two thousand more than 5,639,728?
(1 mark)
Question 7 (2 marks)
Here is a graph for converting kilograms and pounds.
Diagram: A conversion graph: pounds across from 0 to 12, kilograms up from 0 to 7, with a straight line from 0.
(a)
Use the graph to convert 5 kilograms to pounds.
(1 mark)
(b)
Use the graph to convert 7 pounds to the nearest kilogram.
(1 mark)
Question 8 (1 mark)
Draw the reflection of the shaded shape about the mirror line.
Use a ruler.
Diagram: A vertical dashed mirror line. On each side, a pattern of two semicircles (radius 1 and 2) on a straight edge with a line along the middle; the patterns are reflections of each other. On the left, a shaded shape with corners at (0, 2), (1, 0), (0, -1), (2, 0), measured from the centre of the left pattern (the big semicircle has radius 2).
(1 mark)
Question 9 (2 marks)
(a)
Ali has 35 red counters.
He divides them into groups of 3What is the greatest number of groups of 3 he can make?
(1 mark)
(b)
Maria has 35 green counters.
She divides them into groups of 4How many green counters does she have left over?
(1 mark)
Question 10 (1 mark)
Olivia is making a cube from a net.
She wants the cube to have two circles on opposite faces.
Draw one circle to complete Olivia’s net.
Diagram: A net of six squares. Rows from the top: column 1 and column 2; then column 2 and column 3; then column 3 and column 4. A circle is drawn in the square in row 2, column 2.
(1 mark)
Question 11 (2 marks)
The total distance from Paris to Munich by road is 860 kilometres.
There are three sections.
The distances for the first two sections are shown.
Diagram: A road map, not to scale: Paris to Metz to Stuttgart to Munich. The first section, Paris to Metz, is 331 km. The second section, Metz to Stuttgart, is 295 km.
How many kilometres is the last section from Stuttgart to Munich?
Show your method
(2 marks)
Question 12 (1 mark)
Amina says,
“600 millimetres is longer than 1 metre.”
Amina is not correct.
Explain how you know.
(1 mark)
Question 13 (2 marks)
Jack buys four concert tickets. Each ticket costs £28
Tick each calculation that Jack could use to work out the total cost.
One has been done for you.
28 + 28 + 28 + 28 ✓ (20 × 4) + (8 × 4) square (4 × 20) + 8 square (4 × 30) – (4 × 2) square (4 × 30) – 2 square (2 marks)
Question 14 (2 marks)
This table shows the distances Kirsty cycled last week.
Day Home
to school
(4.3 miles)School
to home
(4.3 miles)School
to tennis
(2.6 miles)Tennis
to home
(3.1 miles)Monday ✓ ✓ — — Tuesday ✓ ✓ — — Wednesday ✓ — ✓ ✓ Thursday ✓ ✓ — — Friday ✓ — ✓ ✓ What is the total distance Kirsty cycled last week, in miles?
Show your method
(2 marks)
Question 15 (1 mark)
Here is a diagram made from regular hexagons.
Diagram: A diagram made from 10 regular hexagons in 3 rows (3, 3, 4 from the top). A straight line runs up across it from bottom left to top right through opposite corners of 3 hexagons, cutting each of them in half; everything above the line is shaded.
What percentage of the diagram is shaded?
(1 mark)
Question 16 (2 marks)
Here are two boxes.
The mass of the first box is 11/4 kilograms.
The mass of the second box is 1.4 kilograms.
What is the difference in mass of the two boxes?
Give your answer in kilograms.
Show your method
(2 marks)
Question 17 (1 mark)
A 4 kilogram bag of rice costs £6
What is the cost of 500 grams of the rice?
(1 mark)
Question 18 (2 marks)
Tick the fractions that are greater than 2/3
5/6 square 4/9 square 9/12 square 11/15 square 10/21 square (2 marks)
Question 19 (2 marks)
The total cost of a school trip for 12 pupils is £780
The total cost includes travel, food and hotel.
For one pupil, the travel cost is £27 and the food cost is £16
How much is the hotel cost for one pupil?
Show your method
(2 marks)
Question 20 (2 marks)
Sophie thinks of two prime numbers.
She adds them together.
Her answer is 24
Write all of the different pairs of prime numbers that Sophie could think of.
(2 marks)
Question 21 (2 marks)
The mass of a 1p coin is 3.56 g
The mass of a 10p coin is 6.5 g
What is the difference in mass between £1 in 1p coins and £1 in 10p coins, in grams?
Show your method
(2 marks)
Question 22 (1 mark)
Calculate the volume of this cuboid in cubic centimetres.
Diagram: A cuboid 12 cm long, 2 cm high and 11/2 cm deep.
(1 mark)
Question 23 (1 mark)
Diagram: Points A, B and C on a straight line, in that order, not to scale. The distance from A to B is marked 24 km.
The distance from A to B is 3/4 of the distance from A to C.
What is the distance from B to C in kilometres?
(1 mark)
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.