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Capstone Oct 19 - 25 25 questions
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Monday 19 October 2026

Keystones #292 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 4x

    Answer: (x + 2)² - 4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 27cm, angle = 41°

    Answer: 132.9cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 1:2. Find a:b:c.

    Answer: 4:2:4
  5. 5. Statistics

    Find the mean, median and range of: 63, 37, 12, 54, 95, 11, 30, 79, 24

    Answer: Mean = 45, Median = 37, Range = 84

Tuesday 20 October 2026

Keystones #293 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 5.8x

    Answer: (x + 2.9)² - 8.41
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 23cm, angle = 66°

    Answer: 210.cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 3:4. Find a:b:c.

    Answer: 6:12:16
  5. 5. Statistics

    Find the mean, median and range of: 83, 36, 61, 11, 39, 94, 44, 82, 49

    Answer: Mean = 55.4, Median = 49, Range = 83

Wednesday 21 October 2026

Keystones #294 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 3.6x

    Answer: (x + 1.8)² - 3.24
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 24cm, angle = 67°

    Answer: 143.6cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 2:3. Find a:b:c.

    Answer: 3:2:3
  5. 5. Statistics

    Find the mean, median and range of: 29, 14, 73, 77, 27, 65, 93, 80, 90

    Answer: Mean = 60.9, Median = 73, Range = 79

Thursday 22 October 2026

Keystones #295 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 2.4x

    Answer: (x + 1.2)² - 1.44
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 16cm, angle = 43°

    Answer: 103.7cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 1:2. Find a:b:c.

    Answer: 4:3:6
  5. 5. Statistics

    Find the mean, median and range of: 90, 67, 97, 18, 100, 91, 40

    Answer: Mean = 71.9, Median = 90, Range = 82

Friday 23 October 2026

Keystones #296 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 2.6x

    Answer: (x + 1.3)² - 1.69
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 28cm, angle = 51°

    Answer: 141.4cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 1:3. Find a:b:c.

    Answer: 3:4:12
  5. 5. Statistics

    Find the mean, median and range of: 62, 53, 29, 62, 96, 60, 38, 86

    Answer: Mean = 60.8, Median = 62, Range = 67