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Capstone Mar 16 - 22 25 questions
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Monday 16 March 2026

Keystones #75 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a4)2)3

    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 (7, 2) and radius 4

    Answer: (x - 7)² + (y - 2)² = 16
  4. 4. Ratio

    In ratio 5:4, if the second quantity is 51, what is the first?

    Answer: 63.8
  5. 5. Statistics

    Find the range of: 40, -2, 21, -24, -11

    Answer: 64

Tuesday 17 March 2026

Keystones #76 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a3)3)3

    Answer: a27
  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 (2, 8) and radius 3

    Answer: (x - 2)² + (y - 8)² = 9
  4. 4. Ratio

    In ratio 5:4, if the second quantity is 50, what is the first?

    Answer: 62.5
  5. 5. Statistics

    Find the range of: 30, -16, 33, 15, 43

    Answer: 59

Wednesday 18 March 2026

Keystones #77 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a2)3)3

    Answer: a18
  2. 2. Algebra

    Determine the nth term: 13, 25, 45, 73, ...

    Answer: 4n² + 9
  3. 3. Geometry

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

    Answer: (x - 3)² + (y - 3)² = 16
  4. 4. Ratio

    In ratio 5:6, if the second quantity is 59, what is the first?

    Answer: 49.2
  5. 5. Statistics

    Find the range of: 32, -9, -16, 24, 43

    Answer: 59

Thursday 19 March 2026

Keystones #78 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a4)2)2

    Answer: a16
  2. 2. Algebra

    Determine the nth term: 6, 12, 22, 36, ...

    Answer: 2n² + 4
  3. 3. Geometry

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

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

    In ratio 6:5, if the second quantity is 52, what is the first?

    Answer: 62.4
  5. 5. Statistics

    Find the range of: -22, 38, -10, 12, 30

    Answer: 60

Friday 20 March 2026

Keystones #79 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a2)2)3

    Answer: a12
  2. 2. Algebra

    Determine the nth term: 10, 16, 26, 40, ...

    Answer: 2n² + 8
  3. 3. Geometry

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

    Answer: (x - 7)² + (y - 3)² = 16
  4. 4. Ratio

    In ratio 4:5, if the second quantity is 31, what is the first?

    Answer: 24.8
  5. 5. Statistics

    Find the range of: 2, 34, 27, 20, -12

    Answer: 46