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Capstone May 4 - 10 25 questions
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Monday 4 May 2026

Keystones #124 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a3)2)3

    Answer: a18
  2. 2. Algebra

    Determine the nth term: 5, 14, 29, 50, ...

    Answer: 3n² + 2
  3. 3. Geometry

    State the equation of a circle with centre (7, 4) and radius 3

    Answer: (x - 7)² + (y - 4)² = 9
  4. 4. Ratio

    In ratio 5:4, if the second quantity is 38, what is the first?

    Answer: 47.5
  5. 5. Statistics

    Find the range of: 32, 42, 29, 9, -22

    Answer: 64

Tuesday 5 May 2026

Keystones #125 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a3)3)2

    Answer: a18
  2. 2. Algebra

    Determine the nth term: 10, 22, 42, 70, ...

    Answer: 4n² + 6
  3. 3. Geometry

    State the equation of a circle with centre (3, 4) and radius 9

    Answer: (x - 3)² + (y - 4)² = 81
  4. 4. Ratio

    In ratio 3:2, if the second quantity is 42, what is the first?

    Answer: 63
  5. 5. Statistics

    Find the range of: -14, 40, -21, -21, 12

    Answer: 61

Wednesday 6 May 2026

Keystones #126 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a4)3)2

    Answer: a24
  2. 2. Algebra

    Determine the nth term: 5, 11, 21, 35, ...

    Answer: 2n² + 3
  3. 3. Geometry

    State the equation of a circle with centre (6, 3) and radius 8

    Answer: (x - 6)² + (y - 3)² = 64
  4. 4. Ratio

    In ratio 5:3, if the second quantity is 30, what is the first?

    Answer: 50
  5. 5. Statistics

    Find the range of: 50, -21, 27, 47, -28

    Answer: 78

Thursday 7 May 2026

Keystones #127 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a2)2)3

    Answer: a12
  2. 2. Algebra

    Determine the nth term: 14, 26, 46, 74, ...

    Answer: 4n² + 10
  3. 3. Geometry

    State the equation of a circle with centre (6, 5) and radius 7

    Answer: (x - 6)² + (y - 5)² = 49
  4. 4. Ratio

    In ratio 2:1, if the second quantity is 41, what is the first?

    Answer: 82
  5. 5. Statistics

    Find the range of: -17, 31, 32, -12, -11

    Answer: 49

Friday 8 May 2026

Keystones #128 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a2)3)2

    Answer: a12
  2. 2. Algebra

    Determine the nth term: 4, 10, 20, 34, ...

    Answer: 2n² + 2
  3. 3. Geometry

    State the equation of a circle with centre (2, 3) and radius 10

    Answer: (x - 2)² + (y - 3)² = 100
  4. 4. Ratio

    In ratio 5:2, if the second quantity is 52, what is the first?

    Answer: 130
  5. 5. Statistics

    Find the range of: 3, 23, -15, 0, 11

    Answer: 38