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Capstone Jan 26 - Feb 1 25 questions
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Monday 26 January 2026

Keystones #26 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a3)2)3

    Answer: a18
  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 (4, 5) and radius 5

    Answer: (x - 4)² + (y - 5)² = 25
  4. 4. Ratio

    In ratio 3:4, if the second quantity is 56, what is the first?

    Answer: 42
  5. 5. Statistics

    Find the range of: -9, 9, 11, 31, -28

    Answer: 59

Tuesday 27 January 2026

Keystones #27 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a3)2)2

    Answer: a12
  2. 2. Algebra

    Determine the nth term: 7, 13, 23, 37, ...

    Answer: 2n² + 5
  3. 3. Geometry

    State the equation of a circle with centre (7, 8) and radius 6

    Answer: (x - 7)² + (y - 8)² = 36
  4. 4. Ratio

    In ratio 3:1, if the second quantity is 50, what is the first?

    Answer: 150
  5. 5. Statistics

    Find the range of: 16, -8, 21, 20, -20

    Answer: 41

Wednesday 28 January 2026

Keystones #28 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a3)3)3

    Answer: a27
  2. 2. Algebra

    Determine the nth term: 8, 14, 24, 38, ...

    Answer: 2n² + 6
  3. 3. Geometry

    State the equation of a circle with centre (7, 4) and radius 8

    Answer: (x - 7)² + (y - 4)² = 64
  4. 4. Ratio

    In ratio 7:2, if the second quantity is 53, what is the first?

    Answer: 185.5
  5. 5. Statistics

    Find the range of: 45, 44, -15, -14, 26

    Answer: 60

Thursday 29 January 2026

Keystones #29 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a2)3)3

    Answer: a18
  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 (7, 7) and radius 9

    Answer: (x - 7)² + (y - 7)² = 81
  4. 4. Ratio

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

    Answer: 40
  5. 5. Statistics

    Find the range of: -11, 20, 9, 14, -24

    Answer: 44

Friday 30 January 2026

Keystones #30 · Five questions · Open this day only

  1. 1. Number

    Simplify: ((a4)2)2

    Answer: a16
  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 (3, 8) and radius 10

    Answer: (x - 3)² + (y - 8)² = 100
  4. 4. Ratio

    In ratio 2:3, if the second quantity is 21, what is the first?

    Answer: 14
  5. 5. Statistics

    Find the range of: 11, -30, -22, 37, -5

    Answer: 67