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KS2 SATs 2018 Paper 3: reasoning
21 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 (2 marks)
The numbers in this sequence increase by the same amount each time.
Write the missing numbers.
boxedphantomXX 42 49 boxedphantomXX 63 boxedphantomXX
(2 marks)
Question 2 (1 mark)
Adam chooses the colours for a new team shirt.
The shirt has two colours.
There are four colours to choose from: yellow, blue, white and red.
Write the two missing combinations.
The shirt could be:
• yellow and blue
• yellow and white
• yellow and red
• blue and white.(1 mark)
Question 3 (1 mark)
Here are four number cards.
Diagram: 4 number cards in a row: 2, 3, 4, 7.
Layla uses each card once to make a four-digit number.
She places:
• 4 in the tens column
• 2 so that it has a higher value than any of the other digits
• the remaining two digits so that 7 has the higher value.Write a digit in each box to show Layla’s number.
boxedphantomXboxedphantomXboxedphantomXboxedphantomX
(1 mark)
Question 4 (2 marks)
Write the three missing digits to make this addition correct.
beginarraycccccc & 5 & 3 & 2 & boxedphantomX & 9 \\ + & & 7 & 4 & 2 & boxedphantomX \\ hline & boxedphantomX & 0 & 6 & 7 & 6 endarray
(2 marks)
Question 5 (2 marks)
Tick the numbers that are common factors of both 12 and 18
2 3 6 9 12 (2 marks)
Question 6 (2 marks)
This chart shows the number of different types of big cat in a zoo.
There are 20 big cats in the zoo altogether.
Diagram: A pie chart cut into 4 sectors, going clockwise from straight up: tiger (144°), lion (54°), jaguar (72°), cheetah (90°). The cheetah sector has a right angle marked at the centre.
Here are some statements about the chart.
Tick the statements that are true.
There are more cheetahs than jaguars. The total number of lions and tigers is 10 One-quarter of the big cats are cheetahs. There are more than 5 jaguars. (2 marks)
Question 7 (2 marks)
A farmer is packing eggs.
Each box holds six eggs.
The farmer has 980 eggs to pack.
(a)
How many boxes can the farmer fill using 980 eggs?
(1 mark)
(b)
How many eggs will be left over?
(1 mark)
Question 8 (1 mark)
Jack has £400
He spends 35% of his money on a new bike.
How much does Jack spend on his new bike?
(1 mark)
Question 9 (1 mark)
The Angel of the North is a large statue in England.
It is 20 metres tall and 54 metres wide.
Diagram: A statue of a figure with its arms held straight out to the sides, like wings. Its width, from one end of the arms to the other, is marked 54 m with a double arrow above it; its height is marked 20 m with a double arrow on the right. Not to scale.
Ally makes a scale model of the Angel of the North.
Her model is 40 centimetres tall.
How wide is her model?
(1 mark)
Question 10 (1 mark)
Layla draws a square on this coordinate grid.
Three of the vertices are marked.
Diagram: A coordinate grid, x and y both from –6 to 6. Three points are marked: (1, 5), (5, 1) and (1, –3).
What are the coordinates of the missing vertex?
(1 mark)
Question 11 (2 marks)
Stefan has 600 millilitres of water in a bottle.
He pours some of the water into two measuring jugs as shown.
Diagram: 2 measuring jugs. Each has a scale with a mark every 50 ml, labelled 100 ml and 200 ml. The water in the jugs is at 150 ml and 175 ml.
How many millilitres of water are left in Stefan’s bottle?
Show your method
(2 marks)
Question 12 (1 mark)
This table shows the areas of the United Kingdom and Jamaica.
Country Area (square kilometres) United Kingdom 240,000 Jamaica 10,000 The area of the United Kingdom is larger than the area of Jamaica.
How many times larger is the United Kingdom?
(1 mark)
Question 13 (2 marks)
A box contains 2.6 kg of washing powder.
Jack uses 65 grams of powder for each wash.
He uses all the powder.
How many washes did Jack do?
Show your method
(2 marks)
Question 14 (1 mark)
Two of the angles in a triangle are 70° and 40°
Jack says,
“The triangle is equilateral.”
Explain why Jack is not correct.
(1 mark)
Question 15 (3 marks)
A shop prints designs on T-shirts.
They use this formula to work out the price for printing a design.
price = 60p × number of colours + £1.25 (a)
What is the price for printing a design that has 3 colours in it?
(1 mark)
(b)
Amina has £5 to spend on printing a design.
What is the greatest number of colours she can have in the design?
Show your method
(2 marks)
Question 16 (2 marks)
A book has 276 pages.
Amina has read 1/3 of the book.
How many pages are left for Amina to read?
Show your method
(2 marks)
Question 17 (1 mark)
On a dice, the sum of the dots on opposite faces is always 7
Draw dots on the three empty faces of the net so that it could fold up to make a dice.
Diagram: The net of a cube made of six squares. Rows from the top: column 3 6 dots, column 4 2 dots; then column 1 4 dots, column 2 empty, column 3 empty; then column 2 empty.
(1 mark)
Question 18 (2 marks)
This is a diagram of a vegetable garden.
It shows the fractions of the garden planted with potatoes and cabbages.
Diagram: A rectangle cut into three parts. The left part is potatoes, labelled 2/3. The right strip is cut across: cabbages at the top, labelled 1/4, and carrots, shaded, at the bottom, with no fraction. Not to scale.
The remaining area is planted with carrots.
What fraction of the garden is planted with carrots?
Show your method
(2 marks)
Question 19 (2 marks)
33,630 = 354 × 95
Use this multiplication to complete the calculations below.
354 × 9.5 = boxedphantomXX
3,540 × 95 = boxedphantomXX
3,363 ÷ 95 = boxedphantomXX
(2 marks)
Question 20 (2 marks)
In March, Ken collects 2, 3 or 4 eggs each day from his hens.
In the first 20 days, Ken collects 57 eggs altogether.
There are 31 days in March.
What is the greatest number of eggs Ken can collect in March?
Show your method
(2 marks)
Question 21 (2 marks)
Jack finished a sponsored run in 53 minutes 25 seconds.
(a)
Ally finished 3 minutes 50 seconds after Jack.
How long did Ally take?
(1 mark)
(b)
Layla finished the run 8 minutes 45 seconds before Jack.
How long did Layla take?
(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.