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Capstone Dec 22 - 28 25 questions
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Monday 22 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 2.8x

    Answer: (x + 1.4)² - 1.96
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 27cm, angle = 77°

    Answer: 263.cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 2:5. Find a:b:c.

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

    Find the mean, median and range of: 72, 82, 75, 92, 95, 53, 17, 65, 86

    Answer: Mean = 70.8, Median = 75, Range = 78

Tuesday 23 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 24cm, angle = 47°

    Answer: 219.4cm²
  4. 4. Ratio

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

    Answer: 2:4:8
  5. 5. Statistics

    Find the mean, median and range of: 13, 96, 90, 64, 100, 22, 87

    Answer: Mean = 67.4, Median = 87, Range = 87

Wednesday 24 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√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 = 28cm, b = 21cm, angle = 47°

    Answer: 215cm²
  4. 4. Ratio

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

    Answer: 4:2:3
  5. 5. Statistics

    Find the mean, median and range of: 68, 40, 26, 15, 25, 83, 29, 92

    Answer: Mean = 47.3, Median = 40, Range = 77

Thursday 25 December 2025

Keystones #1 · 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 = 30cm, b = 26cm, angle = 49°

    Answer: 294.3cm²
  4. 4. Ratio

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

    Answer: 9:12:16
  5. 5. Statistics

    Find the mean, median and range of: 84, 52, 60, 55, 14, 33, 44, 43

    Answer: Mean = 48.1, Median = 52, Range = 70

Friday 26 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 5.2x

    Answer: (x + 2.6)² - 6.76
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 19cm, angle = 70°

    Answer: 187.5cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 4:5. Find a:b:c.

    Answer: 8:4:5
  5. 5. Statistics

    Find the mean, median and range of: 49, 58, 73, 24, 46, 91, 11, 81, 23

    Answer: Mean = 50.7, Median = 49, Range = 80