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Capstone Aug 10 - 16 25 questions
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Monday 10 August 2026

Keystones #222 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a3)2)3

    Answer: a18
  2. 2. Algebra

    Determine the nth term: 13, 22, 37, 58, ...

    Answer: 3n² + 10
  3. 3. Geometry

    State the equation of a circle with centre (5, 6) and radius 6

    Answer: (x - 5)² + (y - 6)² = 36
  4. 4. Ratio

    In ratio 3:5, if the second quantity is 44, what is the first?

    Answer: 26.4
  5. 5. Statistics

    Find the range of: -15, 0, -27, 34, 6

    Answer: 61

Tuesday 11 August 2026

Keystones #223 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a4)2)3

    Answer: a24
  2. 2. Algebra

    Determine the nth term: 9, 21, 41, 69, ...

    Answer: 4n² + 5
  3. 3. Geometry

    State the equation of a circle with centre (2, 3) and radius 6

    Answer: (x - 2)² + (y - 3)² = 36
  4. 4. Ratio

    In ratio 3:5, if the second quantity is 39, what is the first?

    Answer: 23.4
  5. 5. Statistics

    Find the range of: 16, 41, 21, -12, 22

    Answer: 53

Wednesday 12 August 2026

Keystones #224 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a2)3)3

    Answer: a18
  2. 2. Algebra

    Determine the nth term: 8, 20, 40, 68, ...

    Answer: 4n² + 4
  3. 3. Geometry

    State the equation of a circle with centre (4, 8) and radius 6

    Answer: (x - 4)² + (y - 8)² = 36
  4. 4. Ratio

    In ratio 2:1, if the second quantity is 37, what is the first?

    Answer: 74
  5. 5. Statistics

    Find the range of: -9, 18, 27, 27, -30

    Answer: 57

Thursday 13 August 2026

Keystones #225 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a2)2)2

    Answer: a8
  2. 2. Algebra

    Determine the nth term: 7, 16, 31, 52, ...

    Answer: 3n² + 4
  3. 3. Geometry

    State the equation of a circle with centre (2, 3) and radius 7

    Answer: (x - 2)² + (y - 3)² = 49
  4. 4. Ratio

    In ratio 7:3, if the second quantity is 48, what is the first?

    Answer: 112
  5. 5. Statistics

    Find the range of: -24, 31, -13, -23, -3

    Answer: 55

Friday 14 August 2026

Keystones #226 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a3)3)3

    Answer: a27
  2. 2. Algebra

    Determine the nth term: 6, 18, 38, 66, ...

    Answer: 4n² + 2
  3. 3. Geometry

    State the equation of a circle with centre (5, 4) and radius 3

    Answer: (x - 5)² + (y - 4)² = 9
  4. 4. Ratio

    In ratio 5:3, if the second quantity is 25, what is the first?

    Answer: 41.7
  5. 5. Statistics

    Find the range of: -19, -3, 29, 39, -17

    Answer: 58