All tiers
Bedrock Cornerstone Lintel Capstone
Lintel · Grades 5–7 Keystones #172 21 June 2026 Skills week 4 of 7
Previous day Today Next day PDF (questions) PDF (answers) Weekly & monthly packs

Keystones — Lintel

Five GCSE retrieval questions · 21 June 2026 · mathsvault.uk/keystones

  1. 1. Number Product of primes

    Express 100 as a product of prime factors

    Answer: 2² × 5²
  2. 2. Algebra Linear simultaneous equations

    Solve: 2x + 3y = 29 and 3x - y = 5

    Answer: x = 4, y = 7
  3. 3. Geometry Pythagoras — short side

    Find b if a = 5cm and c = 15cm

    Answer: 14.14cm
  4. 4. Ratio Combining two ratios

    a:b is 3:4 and b:c is 2:3. Find a:b:c.

    Answer: 3:4:6
  5. 5. Statistics Expected frequency

    A fair coin is flipped 68 times. How many heads would you expect?

    Answer: 34