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Capstone Nov 3 - 9 25 questions
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Monday 3 November 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 13cm, b = 16cm, angle = 47°

    Answer: 76.cm²
  4. 4. Ratio

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

    Answer: 8:6:18
  5. 5. Statistics

    Find the mean, median and range of: 99, 26, 51, 61, 97, 25, 17

    Answer: Mean = 53.7, Median = 51, Range = 82

Tuesday 4 November 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 27cm, b = 28cm, angle = 45°

    Answer: 267.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 40, 21, 89, 67, 78, 49, 65

    Answer: Mean = 58.4, Median = 65, Range = 68

Wednesday 5 November 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 3.6x

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

    Find area of triangle: a = 20cm, b = 12cm, angle = 53°

    Answer: 95.8cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 20, 59, 10, 60, 63, 47, 67, 49, 54

    Answer: Mean = 47.7, Median = 54, Range = 57

Thursday 6 November 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 5.4x

    Answer: (x + 2.7)² - 7.29
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 28cm, angle = 55°

    Answer: 275.2cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 14, 78, 10, 89, 70, 55, 27

    Answer: Mean = 49, Median = 55, Range = 79

Friday 7 November 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√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 = 70°

    Answer: 366.5cm²
  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: 98, 88, 60, 58, 22, 79, 99

    Answer: Mean = 72, Median = 79, Range = 77