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Capstone Oct 13 - 19 25 questions
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Monday 13 October 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 2.2x

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

    Find area of triangle: a = 30cm, b = 28cm, angle = 53°

    Answer: 335.4cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 4:5. Find a:b:c.

    Answer: 8:12:15
  5. 5. Statistics

    Find the mean, median and range of: 72, 90, 35, 62, 72, 100, 30, 59, 69

    Answer: Mean = 65.4, Median = 69, Range = 70

Tuesday 14 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 + 4.6x

    Answer: (x + 2.3)² - 5.29
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 29cm, angle = 41°

    Answer: 209.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 38, 49, 58, 46, 82, 32, 54, 27, 32

    Answer: Mean = 46.4, Median = 46, Range = 55

Wednesday 15 October 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 2.8x

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

    Find area of triangle: a = 21cm, b = 21cm, angle = 53°

    Answer: 176.cm²
  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: 13, 100, 38, 55, 82, 68, 38, 33, 40

    Answer: Mean = 51.9, Median = 40, Range = 87

Thursday 16 October 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 2.4x

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

    Find area of triangle: a = 30cm, b = 25cm, angle = 58°

    Answer: 318cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 1:2. Find a:b:c.

    Answer: 9:12:24
  5. 5. Statistics

    Find the mean, median and range of: 11, 43, 18, 13, 76, 81, 41

    Answer: Mean = 40.4, Median = 41, Range = 70

Friday 17 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 + 3.6x

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

    Find area of triangle: a = 17cm, b = 13cm, angle = 60°

    Answer: 95.7cm²
  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: 73, 33, 85, 69, 23, 62, 90, 77, 34

    Answer: Mean = 60.7, Median = 69, Range = 67