2018 national curriculum tests - Key stage 2 - Mathematics Paper 3 - reasoning

Sep 14, 2026

Mathematics Paper 3 (reasoning) from the 2018 national curriculum tests for Key stage 2. The paper includes clear instructions for working without a calculator, managing 40 minutes, showing methods for specific questions, and using available space. Questions cover number sequences, combinations and probability-style counting, constructing numbers from digit constraints, completing addition, identifying common factors, interpreting data in a chart, packing large quantities, and calculating percentages of money, with marks allocated per item.

LanguageEnglish

CategoryExam

FormatPDF

Pages24

Reading Time1 h 0 min

AccessFree to download

Instructions

Test rules (no calculator, time, method boxes)

Questions

Number sequences and missing numbers

Colour combinations

Digit placement to form numbers

Completing an addition

Common factors

Data interpretation from a chart

Packing eggs (division and remainder)

Percentage calculation (money)

[Visit www.satsbootcamp.co.uk for Year 6 SATs](Visit www.satsbootcamp.co.uk for Year 6 SATs) revision 2018 national curriculum tests Key stage 2 Mathematics Paper 3: reasoning | First name | | | | | | | | --- | --- | --- | --- | --- | --- | --- | | Middle name | | | | | | | | Last name | | | | | | | | Date of birth | Day | | Month | | Year | | | School name | | | | | | | | DfE number | | | | | | | G00080A0124 [Visit www.satsbootcamp.co.uk for Year 6 SATs](Visit www.satsbootcamp.co.uk for Year 6 SATs) revision Page 2 of 24 [BLANK PAGE] Please do not write on this page. G00080A0224 [Visit www.satsbootcamp.co.uk for Year 6 SATs](Visit www.satsbootcamp.co.uk for Year 6 SATs) revision Instructions You must not use a calculator to answer any questions in this test. | Questions and answers
You have 40 minutes to complete this test.
Follow the instructions for each question.
Work as quickly and as carefully as you can.
If you need to do working out, you can use the space around the question. Do not write over any barcodes.
Some questions have a method box like this: | | --- | | Show
your method
| | For these questions, you may get a mark for showing your method. If you cannot do a question, go on to the next one.
You can come back to it later, if you have time.
If you finish before the end, go back and check your work. | Marks The number under each line at the side of the page tells you the number of marks available for each question. G00080A0324 Page 3 of 24 [Visit www.satsbootcamp.co.uk for Year 6 SATs](Visit www.satsbootcamp.co.uk for Year 6 SATs) revision 1 The numbers in this sequence increase by the same amount each time. Write the missing numbers. 42 49 63 2 marks Page 4 of 24 G00080A0424 [Visit www.satsbootcamp.co.uk for Year 6 SATs](Visit www.satsbootcamp.co.uk for Year 6 SATs) revision 2 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. and and 1 mark G00080A0524 Page 5 of 24 [Visit www.satsbootcamp.co.uk for Year 6 SATs](Visit www.satsbootcamp.co.uk for Year 6 SATs) revision 3 Here are four number cards. 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. | | | | | | --- | --- | --- | --- | 1 mark Page 6 of 24 G00080A0624 [Visit www.satsbootcamp.co.uk for Year 6 SATs](Visit www.satsbootcamp.co.uk for Year 6 SATs) revision 4 Write the three missing digits to make this addition correct. | 5 | 3 | 2 | | 9 | | --- | --- | --- | --- | --- | + | 7 | 4 | 2 | | | --- | --- | --- | --- | | | 0 | 6 | 7 | 6 | | --- | --- | --- | --- | --- | 5 Tick the numbers that are common factors of both 12 and 18 marks 2 marks 2 G00080A0724 Page 7 of 24 [Visit www.satsbootcamp.co.uk for Year 6 SATs](Visit www.satsbootcamp.co.uk for Year 6 SATs) revision 6 This chart shows the number of different types of big cat in a zoo. There are 20 big cats in the zoo altogether. 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 Page 8 of 24 G00080A0824 [Visit www.satsbootcamp.co.uk for Year 6 SATs](Visit www.satsbootcamp.co.uk for Year 6 SATs) revision 7 A farmer is packing eggs. Each box holds six eggs. The farmer has 980 eggs to pack. How many boxes can the farmer fill using 980 eggs? full boxes How many eggs will be

FAQs

How long do students have to complete Mathematics Paper 3 (reasoning)?

Students have 40 minutes to complete the test.

Are calculators allowed in this test?

No. Students must not use a calculator to answer any questions in the test.

When do students get marks for showing a method?

For questions with a method box, marks are awarded for showing the method. If students cannot do a question, they should move to the next one and can return if there is time.

Sep 14, 2026

Uploaded by Chloe Bennett