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KS3
Years 7–9
Statistics
Probability

KS3 Statistics & Probability Whole-Topic Test Paper with Mark Scheme

A whole-topic KS3 data assessment for Years 7–9, pulling averages, charts, tables and probability into one paper. 26 questions (65 marks) graded from easy to hard, with a full plain-English mark scheme. Print-ready A4 PDF, 19 pages.

This is a whole-topic KS3 paper — it pulls the entire data strand into one longer assessment for Years 7 to 9. 26 questions (65 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:

  • Statistics & data handling
  • Probability

What's covered

Averages and range from a list, from a frequency table and from grouped data using midpoints, then a two-way table read three ways and a comparison of two teams on both average and spread. Charts cover a bar chart to read and a second one to draw on labelled axes, a stem-and-leaf diagram with a key, a line graph, a scatter graph showing negative correlation with a line of best fit, and a pie chart. The probability half covers the scale and its language, single events, mutually exclusive events, probabilities summing to 1, listing outcomes systematically, a sample space for two spinners, expected frequency, relative frequency, and tree diagrams both with and without replacement.

What's included

  • A cover page with space for name, class and date
  • 26 questions worth 65 marks, graded from easier to harder, finishing with a short stretch section
  • Charts drawn properly: the ones pupils read from are complete, and the ones they draw on are blank with labelled axes
  • 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, 19 pages — it prints cleanly on ordinary A4 at home.