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KS2 SATs 2024 Paper 3: reasoning
24 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)
These shapes have a fraction shaded.
Match each shaded fraction of a circle to the same shaded fraction
of a rectangle.One has been done for you.
Diagram: On the left, four circles one above another, each cut into equal parts with some shaded: 1 of 4; 2 of 3; 1 of 2; 3 of 5 parts shaded. On the right, four rectangles one above another, each cut into equal parts with some shaded: 2 of 4; 6 of 10; 4 of 6; 2 of 8 parts shaded. A line joins circle 3 to rectangle 1 (counting from the top).
(1 mark)
Question 2 (1 mark)
The temperature in a freezer is –40 °C.
The temperature increases by 10 °C.
What is the new temperature?
(1 mark)
Question 3 (2 marks)
Jack buys milk and orange juice from a shop.
Milk Orange juice £1.45 £2.40 He pays with a £5 note.
How much change does Jack get?
Show your method
(2 marks)
Question 4 (1 mark)
The diameter of the Moon is 3,476 kilometres.
What is this diameter to the nearest hundred kilometres?
(1 mark)
Question 5 (1 mark)
Match each of these Roman numerals to the correct number.
One has been done for you.
Diagram: Two columns. On the left, top to bottom: CVI, DXC, DLXXI, MCX. On the right, top to bottom: 1110, 106, 590, 571. A line joins CVI to 106.
(1 mark)
Question 6 (1 mark)
Match each fraction to its equivalent simplified fraction.
One has been done for you.
Diagram: Two columns: Fraction and Simplified fraction. On the left, top to bottom: 12/20, 12/15, 12/16, 12/18. On the right, top to bottom: 4/5, 2/3, 3/5, 3/4. A line joins 12/18 to 2/3.
(1 mark)
Question 7 (1 mark)
Emma thinks of a number. She says,
“I multiply by 2
I add 11
I divide by 3
My answer is 9”What number did Emma think of?
(1 mark)
Question 8 (1 mark)
Here is a shape.
Draw the shape after it is translated 8 units to the right.
Diagram: A coordinate grid with x from –7 to 7 and y from 0 to 8. A quadrilateral is drawn with corners (-6, 1), (-5, 5), (-2, 3), (-3, 1).
Use a ruler.
(1 mark)
Question 9 (1 mark)
Write the missing numbers in the table.
Number of weeks Number of days 1 7 2 14 4 28 6 10 105 (1 mark)
Question 10 (2 marks)
(a)
Diagram: Quadrilateral ABCD, drawn to scale. A is at the bottom left and D at the bottom right; B is straight above A; C is at the top, above and to the right of B. A centimetre scale bar, 0 to 5 cm with millimetre marks, is drawn under the shape so the sides can be measured on screen.
What is the perimeter of the shape, in millimetres?
Use a ruler.
(1 mark)
(b)
Diagram: Quadrilateral ABCD, drawn to scale. A is at the bottom left and D at the bottom right; B is straight above A; C is at the top, above and to the right of B. The angle inside the shape at D is marked d.
Measure the size of angle d.
Use an angle measurer.
(1 mark)
Question 11 (2 marks)
Write the missing digits to make this subtraction correct.
beginarraycccc & 5 & 7 & boxedphantomXX \\ – & 3 & boxedphantomXX & 5 \\ hline & boxedphantomXX & 6 & 8 endarray
(2 marks)
Question 12 (1 mark)
Here are four fractions.
7/8 1/5 3/4 8/10
Write the fractions in order starting with the least.
(1 mark)
Question 13 (2 marks)
There are 20 boxes on a truck.
The boxes are in 4 different sizes.
Number of boxes Mass of each box 8 4 kg 6 2.5 kg 2 13 kg 4 6.5 kg What is the total mass of the 20 boxes on the truck?
Show your method
(2 marks)
Question 14 (2 marks)
Look at the data in this table.
Label Percentage A 20% B 25% C 15% D 30% E 10% Using this data, draw two lines and write three labels to complete
the pie chart.Use a ruler.
Diagram: A pie chart: a circle with a mark every tenth of the way round its edge. A line goes straight up from the centre, and the sectors drawn go clockwise from it: A 20%, B 25%. The rest of the circle is empty.
(2 marks)
Question 15 (2 marks)
35% of the 680 pupils at a school have a pet dog.
159 of the pupils who have a pet dog are boys.
How many of the pupils who have a pet dog are girls?
Show your method
(2 marks)
Question 16 (1 mark)
Write a number in the box to make this correct.
3/5 < dfracboxedphantomXX100 < 0.7
(1 mark)
Question 17 (1 mark)
Tick the numbers that are factors of both 54 and 72
2 3 4 8 9 (1 mark)
Question 18 (2 marks)
Layla wants to buy a camera that costs £65
For the first 10 weeks, she saves £2 each week.
Then she saves £3 each week.
How many weeks altogether does it take Layla to save £65?
Show your method
(2 marks)
Question 19 (2 marks)
Complete this division.
Diagram: A short division set out in columns: 12 divided into the digits 4, 3, 6, a box. The answer above has the digits a box, 6, 4, then r1.
(2 marks)
Question 20 (1 mark)
Here are four shapes on a grid.
Diagram: A square grid, 10 squares across and 10 down, with four shaded shapes. Shape A has corners (1, 7), (2, 9), (3, 7). Shape B has corners (5, 8), (9, 8), (8, 6), (6, 6). Shape C has corners (1, 5), (1, 3), (5, 3). Shape D has corners (6, 2), (3, 1), (9, 1) (squares from the bottom left corner).
Write the letters of all the shapes that have only two acute angles.
(1 mark)
Question 21 (3 marks)
A band holds a concert for charity.
The tickets cost £27 each.
They sell 635 tickets.
They pay £3,180 to use the hall.
They give one-third of the remaining amount to charity.
How much money does the band give to charity?
Show your method
(3 marks)
Question 22 (2 marks)
Sarah makes jewellery using black and white beads.
She uses this rule to work out how many black beads to use.
black = (white × 3) + 4
(a)
Sarah uses 12 white beads to make a necklace.
How many black beads does she use?
(1 mark)
(b)
Sarah uses 25 black beads to make a bracelet.
How many white beads does she use?
(1 mark)
Question 23 (1 mark)
Complete the table.
Name of 3-D shape Number of faces cube pentagonal prism triangular-based pyramid (1 mark)
Question 24 (1 mark)
1/2 × 5/6 is greater than the value of 1/3 × 7/8
Explain how you know.
(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.