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Capstone Dec 29 - Jan 4 25 questions
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Monday 29 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 + 3.2x

    Answer: (x + 1.6)² - 2.56
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 21cm, angle = 74°

    Answer: 171.6cm²
  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: 91, 49, 51, 15, 16, 39, 18

    Answer: Mean = 39.9, Median = 39, Range = 76

Tuesday 30 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 2.4x

    Answer: (x + 1.2)² - 1.44
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 12cm, angle = 60°

    Answer: 83.cm²
  4. 4. Ratio

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

    Answer: 12:6:12
  5. 5. Statistics

    Find the mean, median and range of: 12, 33, 82, 54, 55, 35, 83, 23

    Answer: Mean = 47.1, Median = 54, Range = 71

Wednesday 31 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 + 5.2x

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

    Find area of triangle: a = 17cm, b = 17cm, angle = 79°

    Answer: 141.8cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 42, 53, 47, 34, 50, 96, 98, 41

    Answer: Mean = 57.6, Median = 50, Range = 64

Thursday 1 January 2026

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 2.6x

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

    Find area of triangle: a = 22cm, b = 27cm, angle = 59°

    Answer: 254.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 18, 23, 29, 70, 52, 43, 74

    Answer: Mean = 44.1, Median = 43, Range = 56

Friday 2 January 2026

Keystones #2 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 4.8x

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

    Find area of triangle: a = 30cm, b = 16cm, angle = 62°

    Answer: 211.9cm²
  4. 4. Ratio

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

    Answer: 8:6:12
  5. 5. Statistics

    Find the mean, median and range of: 43, 82, 43, 49, 96, 11, 84, 51

    Answer: Mean = 57.4, Median = 51, Range = 85