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Capstone Jun 2 - 8 25 questions
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Monday 2 June 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 5.6x

    Answer: (x + 2.8)² - 7.84
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 22cm, angle = 40°

    Answer: 134.3cm²
  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: 93, 13, 23, 35, 59, 87, 62, 89, 28

    Answer: Mean = 54.3, Median = 59, Range = 80

Tuesday 3 June 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√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 = 21cm, b = 12cm, angle = 54°

    Answer: 101.9cm²
  4. 4. Ratio

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

    Answer: 4:6:18
  5. 5. Statistics

    Find the mean, median and range of: 100, 74, 97, 67, 20, 23, 35, 63

    Answer: Mean = 59.9, Median = 67, Range = 80

Wednesday 4 June 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√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 = 28cm, b = 13cm, angle = 72°

    Answer: 173.cm²
  4. 4. Ratio

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

    Answer: 2:4:12
  5. 5. Statistics

    Find the mean, median and range of: 75, 28, 38, 84, 45, 68, 78, 20

    Answer: Mean = 54.5, Median = 68, Range = 64

Thursday 5 June 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 5.2x

    Answer: (x + 2.6)² - 6.76
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 24cm, angle = 54°

    Answer: 252.4cm²
  4. 4. Ratio

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

    Answer: 8:12:9
  5. 5. Statistics

    Find the mean, median and range of: 99, 66, 22, 35, 42, 76, 11, 85

    Answer: Mean = 54.5, Median = 66, Range = 88

Friday 6 June 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 4.4x

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

    Find area of triangle: a = 24cm, b = 17cm, angle = 49°

    Answer: 154cm²
  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: 61, 89, 21, 89, 42, 47, 58

    Answer: Mean = 58.1, Median = 58, Range = 68