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Capstone Dec 15 - 21 25 questions
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Monday 15 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√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 = 29cm, angle = 62°

    Answer: 243.3cm²
  4. 4. Ratio

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

    Answer: 16:12:15
  5. 5. Statistics

    Find the mean, median and range of: 54, 54, 70, 70, 22, 19, 29, 29

    Answer: Mean = 43.4, Median = 54, Range = 51

Tuesday 16 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 2.6x

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

    Find area of triangle: a = 12cm, b = 28cm, angle = 78°

    Answer: 164.3cm²
  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: 33, 60, 27, 28, 52, 78, 34

    Answer: Mean = 44.6, Median = 34, Range = 51

Wednesday 17 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 + 4x

    Answer: (x + 2)² - 4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 19cm, angle = 48°

    Answer: 190.6cm²
  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: 46, 31, 39, 71, 50, 49, 23, 39

    Answer: Mean = 43.5, Median = 46, Range = 48

Thursday 18 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 + 6x

    Answer: (x + 3)² - 9
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 19cm, angle = 48°

    Answer: 211.8cm²
  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: 98, 60, 86, 85, 89, 62, 39, 95

    Answer: Mean = 76.8, Median = 86, Range = 59

Friday 19 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 + 3.8x

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

    Find area of triangle: a = 12cm, b = 17cm, angle = 72°

    Answer: 97cm²
  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: 59, 93, 62, 36, 22, 22, 45, 57

    Answer: Mean = 49.5, Median = 57, Range = 71