KS3 Number & Ratio · Years 7–9
KS3 Number Properties
Order of operations (BIDMAS), negative numbers, factors, multiples, primes and prime factorisation, HCF and LCM, and square and cube numbers and their roots — the building blocks of KS3 number work. Includes an exam-style number properties test paper with a plain-English mark scheme.
Video lessons
Step-by-step explainers, each with a written guide and worked examples.
Free worksheets
Printable practice sheets with full worked answer keys — free, no sign-up needed.
Square and Cube Roots — Free KS3 Worksheet
A free, printable KS3 worksheet on square and cube roots, with a full worked answer key. 15 questions graded easy to hard for Years 7, 8 and 9, building from square roots and cube roots up to estimating a root that isn't exact, and worded garden and box problems.
Square and Cube Numbers — Free KS3 Worksheet
A free, printable KS3 worksheet on square and cube numbers, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, building from squares and cubes up to higher powers, mixed calculations and worded patio and box problems.
Multiplying and Dividing Negative Numbers — Free KS3 Worksheet
A free, printable KS3 worksheet on multiplying and dividing negative numbers, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, building from the sign rule up to three-factor 'count the minus signs' questions and worded diving problems.
Adding and Subtracting Negative Numbers — Free KS3 Worksheet
A free, printable KS3 worksheet on adding and subtracting negative numbers, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, building from counting past zero up to two signs together and worded temperature and lift problems.
BIDMAS Practice — Free KS3 Order of Operations Worksheet
A free, printable KS3 worksheet on BIDMAS (the order of operations) without a calculator, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, building from multiply-first up to brackets, indices, same-rung traps and word problems.
Order of Operations (BIDMAS) — Free KS3 Worksheet
A free, printable KS3 worksheet on the order of operations (BIDMAS) without a calculator, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, including the famous 8÷2(2+2) style and word problems.
Test paper
An exam-style number properties assessment with a full plain-English mark scheme — perfect for revision or a topic check.
KS3 Number Properties Test Paper with Mark Scheme
A complete end-of-topic KS3 number properties assessment for Years 7–9. 20 exam-style questions (40 marks) graded from easy to hard, with stretch questions and a full plain-English mark scheme. Print-ready A4 PDF, 11 pages.
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