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Capstone Jun 23 - 29 25 questions
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Monday 23 June 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 4.4x

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

    Find area of triangle: a = 26cm, b = 27cm, angle = 45°

    Answer: 248.2cm²
  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: 11, 72, 18, 83, 88, 22, 64, 70

    Answer: Mean = 53.5, Median = 70, Range = 77

Tuesday 24 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 + 2.8x

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

    Find area of triangle: a = 30cm, b = 24cm, angle = 69°

    Answer: 336.cm²
  4. 4. Ratio

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

    Answer: 9:12:20
  5. 5. Statistics

    Find the mean, median and range of: 93, 70, 52, 79, 74, 99, 13

    Answer: Mean = 68.6, Median = 74, Range = 86

Wednesday 25 June 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√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 = 18cm, b = 20cm, angle = 53°

    Answer: 143.8cm²
  4. 4. Ratio

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

    Answer: 8:12:18
  5. 5. Statistics

    Find the mean, median and range of: 33, 33, 40, 20, 18, 81, 24

    Answer: Mean = 35.6, Median = 33, Range = 63

Thursday 26 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 + 5.8x

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

    Find area of triangle: a = 16cm, b = 24cm, angle = 57°

    Answer: 161cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 70, 80, 49, 41, 39, 67, 44, 37

    Answer: Mean = 53.4, Median = 49, Range = 43

Friday 27 June 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√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 = 23cm, b = 25cm, angle = 74°

    Answer: 276.4cm²
  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: 36, 66, 91, 60, 38, 68, 56, 21, 85

    Answer: Mean = 57.9, Median = 60, Range = 70