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 2026 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)
Write these numbers in order.
Start with the least.
1,505 1,050 1,005 1,500
(1 mark)
Question 2 (1 mark)
30 pupils were asked how they travelled to school.
Complete the graph to show how many children walk to school.
Use a ruler.
Diagram: A bar chart of number of pupils against method of travel, with a line at every whole number from 0 to 20. cycle: a bar to 5. car: a bar to 17. walk: no bar.
(1 mark)
Question 3 (1 mark)
Match each shape to its name.
Diagram: Five solids, one above another on the left: a sphere, a triangle-based pyramid, a cone, a cylinder, a triangular prism. On the right, five names, top to bottom: triangle-based pyramid, cylinder, sphere, triangular prism, cone.
(1 mark)
Question 4 (1 mark)
This table shows the numbers of children in each year in a school.
One number is missing.
Year 3 Year 4 Year 5 Year 6 Children 119 118 117 There are 468 children in the school altogether.
How many children are in Year 4?
(1 mark)
Question 5 (1 mark)
Jack buys a book for £11.79
He pays for the book with a £10 note and a £5 note.
How much change does he get?
(1 mark)
Question 6 (2 marks)
Ken has 14 comics.
Maria has one more comic than Ken.
Stefan has 3 times as many comics as Maria.
How many comics do Ken, Maria and Stefan have altogether?
Show your method
(2 marks)
Question 7 (1 mark)
This grid shows Shape A and four transformations of the shape.
Diagram: A coordinate grid with x from –8 to 5 and y from –5 to 5. Shape A, white, has corners (-4, -1), (-3, -1), (-3, -3), (-2, -3), (-2, -4), (-4, -4). Four shaded shapes have corners (-4, 1), (-3, 1), (-3, 3), (-2, 3), (-2, 4), (-4, 4); and (2, 1), (4, 1), (4, 2), (3, 2), (3, 4), (2, 4); and (-6, -1), (-5, -1), (-5, -4), (-7, -4), (-7, -3), (-6, -3); and (3, -1), (4, -1), (4, -4), (2, -4), (2, -3), (3, -3).
Circle the transformation that is not a reflection of Shape A.
(1 mark)
Question 8 (1 mark)
Here is a shaded parallelogram on a square grid.
Draw a rectangle on the grid that has the same area as
the parallelogram.Use a ruler.
Diagram: A square grid, 12 squares across and 15 down. A shaded parallelogram near the top has corners (2, 11), (7, 11), (8, 14), (3, 14) (squares from the bottom left corner).
(1 mark)
Question 9 (1 mark)
Here are some statements about multiples.
Tick the statements that are true.
All multiples of 9 are multiples of 6 All multiples of 20 are multiples of 10 All multiples of 5 are multiples of 10 All multiples of 10 are multiples of 5 (1 mark)
Question 10 (2 marks)
Amir makes a necklace with blue and red beads.
For every 5 blue beads there are 3 red beads.
There are 30 blue beads in the necklace.
What is the total number of beads in the necklace?
Show your method
(2 marks)
Question 11 (1 mark)
This rectangle has a length of 16 centimetres.
The perimeter of the rectangle is 50 centimetres.
Diagram: A rectangle, wider than it is tall. The bottom side is labelled 16 cm. An arrow up the right side is labelled width. Not actual size.
What is the width of the rectangle?
(1 mark)
Question 12 (2 marks)
Round 349,909
to the nearest 10 to the nearest 100 to the nearest 1,000 (2 marks)
Question 13 (2 marks)
Draw lines to match each group to the proportion that is shaded.
Diagram: Four groups of counters, one above another on the left: 1 of 2 shaded; 3 of 4 shaded; 3 of 5 shaded; 4 of 6 shaded. On the right, top to bottom: 0.6, 2/3, 50%, 0.75.
(2 marks)
Question 14 (2 marks)
3 oranges and 2 pineapples cost £4.06 altogether.
Oranges cost 36p each.
What is the cost of one pineapple?
Show your method
(2 marks)
Question 15 (2 marks)
Write the missing numbers to make these divisions correct.
24 ÷ boxedphantomMM = 2.4
24 ÷ boxedphantomMM = 1.2
2.4 ÷ boxedphantomMM = 1.2
(2 marks)
Question 16 (2 marks)
(a)
Circle the fractions that are less than 2/3
5/9 4/9 7/9 8/9 3/9
(1 mark)
(b)
Circle the fractions that are greater than 2/5
5/8 3/8 2/8 6/8 4/8
(1 mark)
Question 17 (1 mark)
Amina is on holiday in France.
She sees this road sign.
Diagram: A grey road sign reading PARIS, 320 km.
How many miles does Amina need to travel to get to Paris?
Use the conversion: 5 miles = 8 kilometres
(1 mark)
Question 18 (1 mark)
A line makes an angle with the x-axis as shown.
Diagram: The x-axis and the y-axis, and a straight line through the origin going up to the right. The angle between the line and the positive y-axis is 35°. Angle a is between the negative x-axis and the line going down to the left. Not to scale.
Calculate the size of angle a
(1 mark)
Question 19 (2 marks)
Megan buys 6 cans of beans.
The total mass of the cans is 2.49 kilograms.
What is the mass of one can, in grams?
Show your method
(2 marks)
Question 20 (2 marks)
Mabel has some 5p and 2p coins.
She has a total of 41p.
Complete the table to show how many of each type of coin she
could have.One row has been done for you.
5p 2p 1 18 (2 marks)
Question 21 (2 marks)
Kirsty mixes blue paint and yellow paint.
2/5 of her mixture is blue paint.
She uses 3.5 litres of blue paint.
How many litres of yellow paint does Kirsty use?
Show your method
(2 marks)
Question 22 (2 marks)
(a)
On this number line, 3 is halfway between the missing number and 10
Write the missing number.
Diagram: A number line with three marks. The first mark has a box under it, a mark labelled 3, a mark labelled 10.
(1 mark)
(b)
What number is halfway between 20 and –100?
Diagram: A number line with three marks. a mark labelled –100, The middle mark has a box above it, a mark labelled 20.
(1 mark)
Question 23 (2 marks)
William asked some children to choose their favourite club.
The pie chart shows the results.
Diagram: Pie chart. Football 30% 108°, Art 20% 72°, Drama 14 90°, Swimming 18°, Gym 15 72°.
Three children chose swimming.
How many children did William ask altogether?
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.