Change pack
Capstone Dec 1 - 7 25 questions
PDF (questions) PDF (answers)

Monday 1 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 + 4.6x

    Answer: (x + 2.3)² - 5.29
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 13cm, angle = 57°

    Answer: 119.9cm²
  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: 82, 41, 77, 85, 51, 26, 21

    Answer: Mean = 54.7, Median = 51, Range = 64

Tuesday 2 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 + 4.4x

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

    Find area of triangle: a = 21cm, b = 16cm, angle = 44°

    Answer: 116.7cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 59, 93, 75, 59, 36, 15, 44

    Answer: Mean = 54.4, Median = 59, Range = 78

Wednesday 3 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 4.2x

    Answer: (x + 2.1)² - 4.41
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 22cm, angle = 80°

    Answer: 292.5cm²
  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: 13, 34, 71, 24, 73, 40, 78, 20, 44

    Answer: Mean = 44.1, Median = 40, Range = 65

Thursday 4 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 + 3.6x

    Answer: (x + 1.8)² - 3.24
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 23cm, angle = 45°

    Answer: 187cm²
  4. 4. Ratio

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

    Answer: 6:4:3
  5. 5. Statistics

    Find the mean, median and range of: 33, 92, 29, 47, 22, 87, 31

    Answer: Mean = 48.7, Median = 33, Range = 70

Friday 5 December 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 3.2x

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

    Find area of triangle: a = 22cm, b = 15cm, angle = 70°

    Answer: 155cm²
  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: 72, 13, 90, 29, 45, 43, 47, 81

    Answer: Mean = 52.5, Median = 47, Range = 77