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Capstone Sep 22 - 28 25 questions
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Monday 22 September 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 2.2x

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

    Find area of triangle: a = 19cm, b = 15cm, angle = 44°

    Answer: 99cm²
  4. 4. Ratio

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

    Answer: 16:12:18
  5. 5. Statistics

    Find the mean, median and range of: 87, 59, 37, 59, 42, 26, 52, 45

    Answer: Mean = 50.9, Median = 52, Range = 61

Tuesday 23 September 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 16cm, b = 26cm, angle = 70°

    Answer: 195.5cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 25, 79, 50, 91, 32, 96, 48, 85

    Answer: Mean = 63.3, Median = 79, Range = 71

Wednesday 24 September 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 4.2x

    Answer: (x + 2.1)² - 4.41
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 14cm, angle = 41°

    Answer: 82.7cm²
  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: 83, 12, 60, 25, 71, 82, 51

    Answer: Mean = 54.9, Median = 60, Range = 71

Thursday 25 September 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√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 = 19cm, b = 16cm, angle = 40°

    Answer: 97.7cm²
  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: 69, 15, 44, 64, 90, 85, 99, 70, 14

    Answer: Mean = 61.1, Median = 69, Range = 85

Friday 26 September 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 3.2x

    Answer: (x + 1.6)² - 2.56
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 19cm, angle = 64°

    Answer: 128.cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 64, 41, 74, 73, 88, 40, 48

    Answer: Mean = 61.1, Median = 64, Range = 48