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Capstone Nov 10 - 16 25 questions
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Monday 10 November 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 6x

    Answer: (x + 3)² - 9
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 16cm, angle = 66°

    Answer: 160.8cm²
  4. 4. Ratio

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

    Answer: 6:12:20
  5. 5. Statistics

    Find the mean, median and range of: 36, 42, 49, 44, 99, 59, 15, 14, 67

    Answer: Mean = 47.2, Median = 44, Range = 85

Tuesday 11 November 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5.8x

    Answer: (x + 2.9)² - 8.41
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 21cm, angle = 59°

    Answer: 171cm²
  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: 30, 57, 57, 98, 12, 16, 17, 33, 88

    Answer: Mean = 45.3, Median = 33, Range = 86

Wednesday 12 November 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 2.4x

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

    Find area of triangle: a = 21cm, b = 25cm, angle = 57°

    Answer: 220.2cm²
  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: 94, 10, 45, 18, 22, 14, 26, 42

    Answer: Mean = 33.9, Median = 26, Range = 84

Thursday 13 November 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 22cm, b = 15cm, angle = 66°

    Answer: 150.7cm²
  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: 74, 81, 31, 84, 15, 59, 91, 70, 89

    Answer: Mean = 66, Median = 74, Range = 76

Friday 14 November 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 3.6x

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

    Find area of triangle: a = 25cm, b = 14cm, angle = 45°

    Answer: 123.7cm²
  4. 4. Ratio

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

    Answer: 4:6:12
  5. 5. Statistics

    Find the mean, median and range of: 69, 32, 41, 79, 94, 73, 29, 81, 45

    Answer: Mean = 60.3, Median = 69, Range = 65