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Capstone Jun 30 - Jul 6 25 questions
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Monday 30 June 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 27cm, b = 30cm, angle = 79°

    Answer: 397.6cm²
  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: 67, 34, 52, 97, 89, 90, 52

    Answer: Mean = 68.7, Median = 67, Range = 63

Tuesday 1 July 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5.2x

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

    Find area of triangle: a = 24cm, b = 22cm, angle = 48°

    Answer: 196.2cm²
  4. 4. Ratio

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

    Answer: 3:2:4
  5. 5. Statistics

    Find the mean, median and range of: 72, 71, 82, 83, 30, 88, 27, 64

    Answer: Mean = 64.6, Median = 72, Range = 61

Wednesday 2 July 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 17cm, b = 25cm, angle = 40°

    Answer: 136.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 36, 92, 16, 97, 10, 81, 68, 74

    Answer: Mean = 59.3, Median = 74, Range = 87

Thursday 3 July 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  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 = 25cm, angle = 56°

    Answer: 196.9cm²
  4. 4. Ratio

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

    Answer: 9:6:10
  5. 5. Statistics

    Find the mean, median and range of: 43, 39, 96, 31, 92, 76, 64, 35

    Answer: Mean = 59.5, Median = 64, Range = 65

Friday 4 July 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√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 = 26cm, b = 26cm, angle = 73°

    Answer: 323.2cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 59, 17, 72, 14, 13, 86, 57, 64, 17

    Answer: Mean = 44.3, Median = 57, Range = 73