All tiers
Bedrock Cornerstone Lintel Capstone
Lintel · Grades 5–7 Keystones #23 23 January 2026 Skills week 4 of 7
Previous day Today Next day PDF (questions) PDF (answers) Weekly & monthly packs

Keystones — Lintel

Five GCSE retrieval questions · 23 January 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 = 18 and 3x - y = 16

    Answer: x = 6, y = 2
  3. 3. Geometry Pythagoras — short side

    Find b if a = 8cm and c = 18cm

    Answer: 16.12cm
  4. 4. Ratio Combining two ratios

    a:b is 3:5 and b:c is 5:7. Find a:b:c.

    Answer: 3:5:7
  5. 5. Statistics Expected frequency

    A fair coin is flipped 58 times. How many heads would you expect?

    Answer: 29