KS3 · Algebra
KS3 Algebra
Algebra is where KS3 maths starts to feel powerful — using letters to describe patterns, solve problems and draw graphs. This strand covers simplifying expressions, solving equations, sequences and straight-line graphs, with a video, worksheet and test paper for each.
Topics in Algebra
Expressions & Simplifying
Collecting like terms, multiplying and dividing terms, expanding single and double brackets, factorising, and substituting into expressions and formulae — the core KS3 skills for working with algebra. Includes an exam-style expressions test paper with a full mark scheme.
Solving Equations
Solving one- and two-step equations, equations with brackets and with unknowns on both sides, and forming and solving equations from a context — one of the most important KS3 algebra skills. Includes a free solving-equations test paper with a worked mark scheme.
Sequences
Term-to-term and position-to-term rules, finding and using the nth term of a linear sequence, and recognising special sequences — the KS3 patterns that lead into GCSE algebra. Includes a full sequences test paper with mark scheme.
Graphs & Coordinates
Coordinates in all four quadrants, midpoints, plotting straight-line graphs, y = mx + c, and reading conversion and distance–time graphs — the KS3 graph skills that connect algebra and geometry. Includes an exam-style graphs and coordinates test paper with mark scheme.
Algebra test papers
Exam-style papers with full plain-English mark schemes — sit a single topic or a whole-topic paper.
KS3 Algebra Whole-Topic Test Paper with Mark Scheme
A whole-topic KS3 algebra assessment for Years 7–9, pulling expressions, equations, sequences and graphs into one paper. 26 questions (59 marks) graded from easy to hard, with a full plain-English mark scheme. Print-ready A4 PDF, 13 pages.
KS3 Expressions & Simplifying Test Paper with Mark Scheme
A complete end-of-topic KS3 algebra expressions and simplifying assessment for Years 7–9. 20 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 Solving Equations Test Paper with Mark Scheme
A complete end-of-topic KS3 solving equations assessment for Years 7–9. 19 exam-style questions (46 marks) graded from easy to hard, with stretch questions and a full plain-English mark scheme. Print-ready A4 PDF, 11 pages.
KS3 Sequences Test Paper with Mark Scheme
A complete end-of-topic KS3 sequences assessment for Years 7–9. 19 exam-style questions (44 marks) graded from easy to hard, with stretch questions and a full plain-English mark scheme. Print-ready A4 PDF, 11 pages.
KS3 Graphs & Coordinates Test Paper with Mark Scheme
A complete end-of-topic KS3 graphs and coordinates assessment for Years 7–9. 15 exam-style questions (38 marks) graded from easy to hard, with stretch questions and a full plain-English mark scheme. Print-ready A4 PDF, 11 pages.