All tiers
Bedrock Cornerstone Lintel Capstone
Lintel · Grades 5–7 Keystones #221 9 August 2026 Skills week 4 of 7
Previous day Today Next day PDF (questions) PDF (answers) Weekly & monthly packs

Keystones — Lintel

Five GCSE retrieval questions · 9 August 2026 · mathsvault.uk/keystones

  1. 1. Number Product of primes

    Write 36 as a product of its prime factors

    Answer: 2² × 3²
  2. 2. Algebra Linear simultaneous equations

    Solve: 5x + 3y = 44 and x + 3y = 28

    Answer: x = 4, y = 8
  3. 3. Geometry Pythagoras — short side

    Find b if a = 14cm and c = 23cm

    Answer: 18.25cm
  4. 4. Ratio Combining two ratios

    a:b is 1:2 and b:c is 2:3. Find a:b:c.

    Answer: 2:4:6
  5. 5. Statistics Expected frequency

    A fair coin is flipped 70 times. How many heads would you expect?

    Answer: 35