All papers
KS3
Years 7–9
Algebra

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.

This is a whole-topic KS3 paper — it pulls the entire algebra strand into one longer assessment for Years 7 to 9. 26 questions (59 marks) build gently from easier to harder, with the hardest grouped into a stretch section at the end.

Subtopics covered

This is a whole-topic paper — it brings several subtopics together in one sitting, so you can check the whole foundation at once:

  • Expressions & simplifying
  • Solving equations
  • Sequences
  • Graphs & coordinates

What's covered

Four areas of algebra in one longer paper. Expressions: collecting like terms, expanding single and double brackets, substitution, and expanding then simplifying. Equations: one- and two-step equations, brackets, unknowns on both sides, a fractional term, forming an equation from words, and an angles problem. Sequences: term-to-term rules, a matchstick pattern, the nth term, testing whether a number is a term, and finding the first term past 100. Graphs and coordinates: all four quadrants, midpoints, gradient and y-intercept, a table of values, reading a conversion graph, and the equation of a line through two points.

What's included

  • A cover page with space for name, class and date
  • 26 questions worth 59 marks, graded from easier to harder, finishing with a short stretch section
  • Ruled working space under every question, because method marks matter
  • A complete mark scheme written in plain English — the working is shown for every multi-step answer, so you can mark with confidence even if maths is a distant memory

The mark scheme starts on its own page, so you can print the test without the answers. One print-ready A4 PDF, 13 pages — it prints cleanly on ordinary A4 at home.