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Capstone Jun 22 - 28 25 questions
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Monday 22 June 2026

Keystones #173 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a2)3)3

    Answer: a18
  2. 2. Algebra

    Determine the nth term: 12, 21, 36, 57, ...

    Answer: 3n² + 9
  3. 3. Geometry

    State the equation of a circle with centre (2, 5) and radius 4

    Answer: (x - 2)² + (y - 5)² = 16
  4. 4. Ratio

    In ratio 3:5, if the second quantity is 48, what is the first?

    Answer: 28.8
  5. 5. Statistics

    Find the range of: -26, -26, 39, 31, -6

    Answer: 65

Tuesday 23 June 2026

Keystones #174 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a3)2)3

    Answer: a18
  2. 2. Algebra

    Determine the nth term: 7, 19, 39, 67, ...

    Answer: 4n² + 3
  3. 3. Geometry

    State the equation of a circle with centre (2, 6) and radius 9

    Answer: (x - 2)² + (y - 6)² = 81
  4. 4. Ratio

    In ratio 4:3, if the second quantity is 41, what is the first?

    Answer: 54.7
  5. 5. Statistics

    Find the range of: 43, 17, 7, 42, -23

    Answer: 66

Wednesday 24 June 2026

Keystones #175 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a4)3)3

    Answer: a36
  2. 2. Algebra

    Determine the nth term: 10, 19, 34, 55, ...

    Answer: 3n² + 7
  3. 3. Geometry

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

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

    In ratio 7:3, if the second quantity is 47, what is the first?

    Answer: 109.7
  5. 5. Statistics

    Find the range of: -15, -4, -15, 45, -3

    Answer: 60

Thursday 25 June 2026

Keystones #176 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a4)2)2

    Answer: a16
  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 (7, 6) and radius 10

    Answer: (x - 7)² + (y - 6)² = 100
  4. 4. Ratio

    In ratio 6:5, if the second quantity is 44, what is the first?

    Answer: 52.8
  5. 5. Statistics

    Find the range of: -2, 7, -13, 21, -2

    Answer: 34

Friday 26 June 2026

Keystones #177 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a3)3)2

    Answer: a18
  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, 6) and radius 7

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

    In ratio 3:5, if the second quantity is 58, what is the first?

    Answer: 34.8
  5. 5. Statistics

    Find the range of: 24, -13, 18, 30, -4

    Answer: 43