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KS2 SATs 2022 Paper 2: reasoning
25 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 greatest number.
9,206,499 9,215,300 9,206,504
9,215,298 9,206,909(1 mark)
Question 2 (1 mark)
One table can seat 8 people.
Diagram: A round table with 8 chairs round it.
How many tables are needed to seat 40 people?
(1 mark)
Question 3 (1 mark)
Write the missing number to make this addition correct.
400,000 + boxedphantomXX + 70 = 430,070
(1 mark)
Question 4 (2 marks)
Children estimated the number of beans in a jar.
These were the estimates of five children.
Amir 1,310 Olivia 1,220 Emma 1,400 John 1,290 Chen 1,460 The exact number of beans in the jar was 1,380
(a)
Whose estimate was closest to the exact number?
(1 mark)
(b)
Whose estimate was furthest from the exact number?
(1 mark)
Question 5 (1 mark)
One tonne is 1,000 kilograms.
A truck can carry a load of 2.3 tonnes.
How many kilograms can the truck carry?
(1 mark)
Question 6 (1 mark)
Emma has a 5 litre bag of compost.
She uses 2.75 litres.
How much compost does Emma have left, in litres?
(1 mark)
Question 7 (1 mark)
In a race, Ali completes a swim, a run and a bicycle ride.
The swim is 1/10 of the total distance.
The run is 3/10 of the total distance.
What fraction of the total distance is the bicycle ride?
(1 mark)
Question 8 (1 mark)
Circle the improper fraction that is equivalent to 23/8
5/8 14/8 19/8 23/8 26/8
(1 mark)
Question 9 (1 mark)
This pictogram shows how many DVDs a shop sells in one week.
Diagram: A pictogram of DVDs sold, one column of DVD pictures for each day, with no key. Mon: 3 DVDs, Tue: 4 DVDs, Wed: 5 DVDs, Thu: 2 DVDs, Fri: 6 and a half DVDs, Sat: 6 DVDs.
On Monday, 24 DVDs were sold.
How many DVDs were sold on Friday?
(1 mark)
Question 10 (2 marks)
A shop has an offer.
Buy one box for £1.90
Get the second box half price.Ali buys two boxes of cereal.
How much must he pay altogether, in pounds?
Show your method
(2 marks)
Question 11 (1 mark)
Write the missing values.
3/10 = dfracboxedphantomXX20
12/15 = dfrac4boxedphantomXX
(1 mark)
Question 12 (1 mark)
William has four parcels.
1.4 kg 1500 g 2 kg 300 g
Write the masses in order, starting with the heaviest.
(1 mark)
Question 13 (1 mark)
Look at the graph below that shows Dev’s bike ride.
Diagram: A line graph of Dev’s bike ride: distance in km (0 to 5) up the side, time in minutes (0 to 40) along the bottom. Straight lines join A (0 minutes, 0 km), B (10 minutes, 3 km), C (20 minutes, 3 km), D (30 minutes, 4 km), E (40 minutes, 4.5 km).
Match each part of Dev’s journey to the correct sentence.
Diagram: On the left, four boxes, top to bottom: A to B, B to C, C to D, D to E. On the right, four boxes, top to bottom: Dev rests for 10 minutes. Dev cycles 1 km in 10 minutes. Dev cycles 3 km in 10 minutes. Dev cycles less than 1 km in 10 minutes.
(1 mark)
Question 14 (1 mark)
This 850 ml bottle of squash makes 17 drinks.
How many millilitres of squash are in each drink?
(1 mark)
Question 15 (2 marks)
Write the correct sign =, > or < in each box.
1 × 2 × 3 boxedphantomXX 1 + 2 + 3 2 × 2 × 2 boxedphantomXX 2 + 2 + 2 1 × 10 × 10 boxedphantomXX 1 + 10 + 10 0 × 10 × 10 boxedphantomXX 0 + 10 + 10 (2 marks)
Question 16 (1 mark)
Tick the numbers that round to 28.7
28.07 square 28.65 square 28.71 square 28.75 square 28.97 square (1 mark)
Question 17 (1 mark)
6 divides into 40 with a remainder of 4
Write one other number that divides into 40 with a remainder of 4
(1 mark)
Question 18 (2 marks)
This sign shows the number of empty spaces on each level of a car park at 10 am.
Empty Spaces Level 2 511 Level 1 268 In this car park, each level has 800 spaces.
What is the total number of cars parked in the car park at 10 am?
Show your method
(2 marks)
Question 19 (1 mark)
The circumference of this circle is 60 centimetres.
Diagram: A circle with its centre marked. Two radii go from the centre to points A and B on the circle, at a right angle to each other. An arrow goes round the outside of the circle from A to B. Not actual size.
What is the distance around the edge of the circle from A to B, in centimetres?
(1 mark)
Question 20 (2 marks)
There are 432 places at a dance school.
There are two age groups.
This table shows the number of classes and the number of pupils in each class for each age group at the moment.
Age in years Number of classes Number of pupils in each class 7–12 15 16 13–18 10 18 How many more pupils can join the dance school?
Show your method
(2 marks)
Question 21 (2 marks)
Diagram: Nine shapes in three rows of three. Top row: triangle, circle, triangle. Middle row: circle, triangle, circle. Bottom row: triangle, circle, triangle. A straight line goes down the diagonal from the top left shape through the middle shape to the bottom right shape.
Each shape stands for a number.
The total of the shapes on the diagonal line is 48
The total of all the shapes is 200
Calculate the value of each shape.
(a)
Diagram: A triangle, an equals sign and an empty box.
(1 mark)
(b)
Diagram: A circle, an equals sign and an empty box.
(1 mark)
Question 22 (2 marks)
You can make green paint by mixing:
• 250 ml of blue paint
• 1,150 ml of yellow paint.Stefan wants to make some of this green paint.
He uses 750 ml of blue paint.
How much green paint does he make, in millilitres?
Show your method
(2 marks)
Question 23 (2 marks)
Adam has a bag of fruit that weighs 1.25 kilograms.
He takes out a banana. Now the bag of fruit weighs 1.1 kg.
Next, he takes out an orange. Now the bag weighs 920 g.
How much more does the orange weigh than the banana, in grams?
Show your method
(2 marks)
Question 24 (2 marks)
Here is an isosceles triangle inside a rectangle.
Diagram: An isosceles triangle inside a rectangle. Its base is the bottom of the rectangle and its top corner touches the middle of the top of the rectangle. The angle at the top of the triangle is 30°. Angle x is the triangle’s angle at the bottom left. Angle y is at the bottom right, between the side of the triangle and the right-hand side of the rectangle. Not to scale.
Calculate the sizes of angles x and y
Show your method
(2 marks)
Question 25 (2 marks)
The triangle is to be transformed on the grid as follows:
• First translate the shape 7 units down.
• Then reflect the resulting triangle in the y-axis.Draw the new triangle on the grid after each transformation.
Diagram: A coordinate grid, x and y from –7 to 7. A triangle has corners at (1, 1), (1, 5), (5, 4).
Use a ruler.
(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.