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Capstone Dec 8 - 14 25 questions
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Monday 8 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 5x

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

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

    Answer: 154.7cm²
  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: 74, 41, 64, 13, 60, 32, 61

    Answer: Mean = 49.3, Median = 60, Range = 61

Tuesday 9 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 20cm, b = 15cm, angle = 79°

    Answer: 147.2cm²
  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: 78, 48, 38, 88, 54, 84, 38, 32, 45

    Answer: Mean = 56.1, Median = 48, Range = 56

Wednesday 10 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√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 = 23cm, b = 20cm, angle = 49°

    Answer: 173.6cm²
  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: 14, 81, 63, 24, 98, 90, 19, 51, 40

    Answer: Mean = 53.3, Median = 51, Range = 84

Thursday 11 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 3.8x

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

    Find area of triangle: a = 26cm, b = 20cm, angle = 79°

    Answer: 255.2cm²
  4. 4. Ratio

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

    Answer: 8:6:9
  5. 5. Statistics

    Find the mean, median and range of: 27, 83, 69, 98, 27, 78, 69

    Answer: Mean = 64.4, Median = 69, Range = 71

Friday 12 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 4.8x

    Answer: (x + 2.4)² - 5.76
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 23cm, angle = 80°

    Answer: 135.9cm²
  4. 4. Ratio

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

    Answer: 9:6:12
  5. 5. Statistics

    Find the mean, median and range of: 74, 83, 87, 42, 33, 61, 47, 100

    Answer: Mean = 65.9, Median = 74, Range = 67