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Capstone Apr 6 - 12 25 questions
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Monday 6 April 2026

Keystones #96 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 2.2x

    Answer: (x + 1.1)² - 1.21
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 27cm, angle = 46°

    Answer: 165.cm²
  4. 4. Ratio

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

    Answer: 4:6:18
  5. 5. Statistics

    Find the mean, median and range of: 40, 47, 29, 22, 81, 99, 36, 34, 48

    Answer: Mean = 48.4, Median = 40, Range = 77

Tuesday 7 April 2026

Keystones #97 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 3x

    Answer: (x + 1.5)² - 2.25
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 28cm, angle = 68°

    Answer: 298.6cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 4:5. Find a:b:c.

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

    Find the mean, median and range of: 32, 97, 51, 80, 79, 22, 93, 24

    Answer: Mean = 59.8, Median = 79, Range = 75

Wednesday 8 April 2026

Keystones #98 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 5.6x

    Answer: (x + 2.8)² - 7.84
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 14cm, angle = 69°

    Answer: 143.8cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 3:5. Find a:b:c.

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

    Find the mean, median and range of: 11, 29, 88, 93, 70, 66, 17, 84, 97

    Answer: Mean = 61.7, Median = 70, Range = 86

Thursday 9 April 2026

Keystones #99 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 5x

    Answer: (x + 2.5)² - 6.25
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 23cm, angle = 61°

    Answer: 221.3cm²
  4. 4. Ratio

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

    Answer: 12:6:8
  5. 5. Statistics

    Find the mean, median and range of: 87, 60, 98, 85, 29, 17, 76, 78, 39

    Answer: Mean = 63.2, Median = 76, Range = 81

Friday 10 April 2026

Keystones #100 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√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 = 19cm, b = 25cm, angle = 56°

    Answer: 196.9cm²
  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: 46, 74, 45, 87, 40, 68, 60, 82

    Answer: Mean = 62.8, Median = 68, Range = 47