KS3 · Number & Ratio
KS3 Number & Ratio
Number and ratio are the backbone of KS3 maths — number properties, fractions, decimals, percentages, indices and standard form, and ratio and proportion. Master these and the rest of Key Stage 3 gets a whole lot easier. Each subtopic has a video lesson, a free worksheet and an exam-style test paper.
Topics in Number & Ratio
Number Properties
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.
Fractions
Everything KS3 students need on fractions: simplifying and equivalent fractions, converting between improper fractions and mixed numbers, ordering and comparing, the four operations, and finding a fraction of an amount. Each skill has a step-by-step video lesson and a free printable worksheet with full worked answers, plus a complete fractions test paper.
Decimals & Rounding
Decimal place value and ordering, multiplying and dividing by powers of 10, the four operations with decimals, rounding to decimal places and significant figures, estimation and FDP conversions. Includes an exam-style decimals test paper with a full mark scheme.
Percentages
Percentage of an amount, percentage increase and decrease, percentage change, reverse percentages and simple interest — the KS3 percentage skills that show up everywhere from test papers to real life. Includes a full percentages test paper with mark scheme.
Indices, Powers & Standard Form
The index laws, zero and negative indices, and writing, reading and calculating with numbers in standard form — key KS3 number skills that lead straight into GCSE. Includes a full indices, powers and standard form test paper with mark scheme.
Ratio & Proportion
Simplifying ratios, sharing in a ratio, converting between ratios and fractions, unit pricing and best buys, direct proportion and recipe scaling — the essential KS3 proportional reasoning skills. Includes a full ratio and proportion test paper with a plain-English mark scheme.
Number & Ratio test papers
Exam-style papers with full plain-English mark schemes — sit a single topic or a whole-topic paper.
KS3 Number & Ratio Whole-Topic Test Paper with Mark Scheme
A whole-topic KS3 number & ratio assessment for Years 7–9, covering six subtopics in one longer paper. 34 questions (77 marks) graded from easy to hard, with a full plain-English mark scheme. Print-ready A4 PDF, 17 pages.
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.
KS3 Fractions Test Paper with Mark Scheme
A complete end-of-topic KS3 fractions assessment for Years 7–9. 20 exam-style questions (38 marks) graded from easy to hard, with stretch questions and a full plain-English mark scheme. Print-ready A4 PDF, 10 pages.
KS3 Decimals & Rounding Test Paper with Mark Scheme
A complete end-of-topic KS3 decimals and rounding assessment for Years 7–9. 19 exam-style questions (42 marks) graded from easy to hard, with stretch questions and a full plain-English mark scheme. Print-ready A4 PDF, 10 pages.
KS3 Percentages Test Paper with Mark Scheme
A complete end-of-topic KS3 percentages assessment for Years 7–9. 19 exam-style questions (42 marks) graded from easy to hard, with stretch questions and a full plain-English mark scheme. Print-ready A4 PDF, 11 pages.
KS3 Indices & Standard Form Test Paper with Mark Scheme
A complete end-of-topic KS3 indices and standard form 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, 10 pages.
KS3 Ratio & Proportion Test Paper with Mark Scheme
A complete end-of-topic KS3 ratio and proportion assessment for Years 7–9. 18 exam-style questions (44 marks) graded from easy to hard, with stretch questions and a full plain-English mark scheme. Print-ready A4 PDF, 10 pages.