England KS2 SATs Maths free practice questions with answers
Read question 1 and its full worked answer from paper 1 of our 20-paper England KS2 SATs Maths set, then download the 3-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.
(1 mark)
A bus number is a factor of 420 and also a multiple of 3. It is greater than 22 and less than 34. What is the bus number?
Answer
Question 1 (1 mark) [Factors and multiples with constraints]
A bus number is a factor of 420 and also a multiple of 3. It is greater than 22 and less than 34. What is the bus number?
Answer: 30
- List the multiples of 3 that are between 22 and 34: 24, 27, 30, 33.
- Test which of them divide exactly into 420: 24 (no), 27 (no), 30 (yes), 33 (no).
- Only 30 works.
Skill: Number, ratio and algebra · Factors and multiples with constraints
List the candidates that meet the first rule, then test each against the second rule.
Your sample is downloading. Liked it? England KS2 SATs Maths Paper 1 is the full paper: all three KS2 maths papers in one PDF: arithmetic (30 minutes) and two reasoning papers (40 minutes each), 110 marks, no calculator, set harder than the real test, with a worked solution for every question.
Get Paper 1 for A$11.99See all 20 papers from A$11.99More free England KS2 SATs (Year 6) samples
Questions about this sample
What is in the England KS2 SATs Maths free sample?
The first 3 questions from paper 1 of the set, in the real exam layout, followed by the step-by-step worked answers. It is a 3-page PDF; this page shows question 1 with its answer.
How many full England KS2 SATs Maths papers are there?
20 original papers for Year 6 pupils in England preparing for the KS2 SATs mathematics tests. Each is all three KS2 maths papers in one PDF: arithmetic (30 minutes) and two reasoning papers (40 minutes each), 110 marks, no calculator, set harder than the real test, with a worked solution for every question. Papers start at A$11.99 and download instantly as a PDF.
Are these official past papers?
No. The sample is taken from our own original practice paper and is not an official past paper or affiliated with any exam authority.