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Capstone May 25 - 31 25 questions
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Monday 25 May 2026

Keystones #145 · 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 = 13cm, angle = 51°

    Answer: 131.3cm²
  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: 26, 11, 25, 91, 51, 84, 11, 20, 66

    Answer: Mean = 42.8, Median = 26, Range = 80

Tuesday 26 May 2026

Keystones #146 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 2.6x

    Answer: (x + 1.3)² - 1.69
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 21cm, angle = 47°

    Answer: 115.2cm²
  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: 15, 64, 26, 35, 92, 84, 53, 87

    Answer: Mean = 57, Median = 64, Range = 77

Wednesday 27 May 2026

Keystones #147 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 2.2x

    Answer: (x + 1.1)² - 1.21
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 16cm, angle = 55°

    Answer: 85.2cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 4:3. Find a:b:c.

    Answer: 8:4:3
  5. 5. Statistics

    Find the mean, median and range of: 67, 14, 10, 15, 66, 100, 40, 44, 52

    Answer: Mean = 45.3, Median = 44, Range = 90

Thursday 28 May 2026

Keystones #148 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 4.8x

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

    Find area of triangle: a = 22cm, b = 27cm, angle = 68°

    Answer: 275.4cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 1:2. Find a:b:c.

    Answer: 9:12:24
  5. 5. Statistics

    Find the mean, median and range of: 47, 48, 96, 46, 58, 38, 51, 62

    Answer: Mean = 55.8, Median = 51, Range = 58

Friday 29 May 2026

Keystones #149 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 24cm, b = 20cm, angle = 79°

    Answer: 235.6cm²
  4. 4. Ratio

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

    Answer: 9:12:16
  5. 5. Statistics

    Find the mean, median and range of: 86, 64, 74, 72, 88, 32, 87, 85, 21

    Answer: Mean = 67.7, Median = 74, Range = 67