Change pack
Capstone Oct 20 - 26 25 questions
PDF (questions) PDF (answers)

Monday 20 October 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 3.8x

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

    Find area of triangle: a = 29cm, b = 25cm, angle = 66°

    Answer: 331.2cm²
  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: 29, 30, 10, 55, 28, 24, 75, 33, 76

    Answer: Mean = 40, Median = 30, Range = 66

Tuesday 21 October 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 3.4x

    Answer: (x + 1.7)² - 2.89
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 20cm, angle = 69°

    Answer: 261.4cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 4:5. Find a:b:c.

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

    Find the mean, median and range of: 10, 41, 17, 82, 14, 14, 40, 59, 66

    Answer: Mean = 38.1, Median = 40, Range = 72

Wednesday 22 October 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 2x

    Answer: (x + 1)² - 1
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 25cm, angle = 50°

    Answer: 162.8cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 19, 50, 22, 73, 72, 77, 85, 79, 60

    Answer: Mean = 59.7, Median = 72, Range = 66

Thursday 23 October 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 3x

    Answer: (x + 1.5)² - 2.25
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 29cm, angle = 73°

    Answer: 402.cm²
  4. 4. Ratio

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

    Answer: 9:6:10
  5. 5. Statistics

    Find the mean, median and range of: 78, 73, 55, 82, 71, 76, 98, 87, 74

    Answer: Mean = 77.1, Median = 76, Range = 43

Friday 24 October 2025

Keystones #1 · 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 = 13cm, b = 16cm, angle = 57°

    Answer: 87.2cm²
  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: 76, 84, 22, 41, 85, 47, 55, 19, 14

    Answer: Mean = 49.2, Median = 47, Range = 71