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Capstone Sep 29 - Oct 5 25 questions
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Monday 29 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 + 2.2x

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

    Find area of triangle: a = 20cm, b = 15cm, angle = 41°

    Answer: 98.4cm²
  4. 4. Ratio

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

    Answer: 2:4:6
  5. 5. Statistics

    Find the mean, median and range of: 43, 14, 20, 20, 30, 49, 19, 30

    Answer: Mean = 28.1, Median = 30, Range = 35

Tuesday 30 September 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√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 = 19cm, b = 19cm, angle = 53°

    Answer: 144.2cm²
  4. 4. Ratio

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

    Answer: 4:6:15
  5. 5. Statistics

    Find the mean, median and range of: 30, 74, 72, 53, 17, 33, 77, 74

    Answer: Mean = 53.8, Median = 72, Range = 60

Wednesday 1 October 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 5.4x

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

    Find area of triangle: a = 25cm, b = 28cm, angle = 51°

    Answer: 272cm²
  4. 4. Ratio

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

    Answer: 4:6:9
  5. 5. Statistics

    Find the mean, median and range of: 75, 16, 59, 69, 55, 94, 98, 88

    Answer: Mean = 69.3, Median = 75, Range = 82

Thursday 2 October 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 2.4x

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

    Find area of triangle: a = 26cm, b = 17cm, angle = 40°

    Answer: 142.cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 3:5. Find a:b:c.

    Answer: 12:6:10
  5. 5. Statistics

    Find the mean, median and range of: 84, 54, 47, 95, 80, 38, 12, 21

    Answer: Mean = 53.9, Median = 54, Range = 83

Friday 3 October 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 3.4x

    Answer: (x + 1.7)² - 2.89
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 26cm, angle = 55°

    Answer: 234.3cm²
  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: 37, 80, 34, 36, 57, 94, 94, 45

    Answer: Mean = 59.6, Median = 57, Range = 60