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Capstone Oct 6 - 12 25 questions
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Monday 6 October 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 3.2x

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

    Find area of triangle: a = 21cm, b = 12cm, angle = 59°

    Answer: 108cm²
  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: 73, 10, 53, 88, 19, 93, 38, 52, 10

    Answer: Mean = 48.4, Median = 52, Range = 83

Tuesday 7 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 + 2x

    Answer: (x + 1)² - 1
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 26cm, angle = 45°

    Answer: 202.2cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 46, 94, 32, 40, 98, 16, 47, 97

    Answer: Mean = 58.8, Median = 47, Range = 82

Wednesday 8 October 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√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 = 28cm, b = 24cm, angle = 68°

    Answer: 311.5cm²
  4. 4. Ratio

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

    Answer: 3:2:6
  5. 5. Statistics

    Find the mean, median and range of: 16, 66, 44, 73, 33, 100, 35, 59, 76

    Answer: Mean = 55.8, Median = 59, Range = 84

Thursday 9 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 + 3.8x

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

    Find area of triangle: a = 21cm, b = 20cm, angle = 74°

    Answer: 201.9cm²
  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: 51, 98, 32, 84, 74, 12, 42

    Answer: Mean = 56.1, Median = 51, Range = 86

Friday 10 October 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 4.4x

    Answer: (x + 2.2)² - 4.84
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 21cm, angle = 45°

    Answer: 222.7cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 77, 76, 25, 92, 41, 75, 35, 60, 41

    Answer: Mean = 58, Median = 60, Range = 67