Change pack
Capstone Jul 7 - 13 25 questions
PDF (questions) PDF (answers)

Monday 7 July 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 4.4x

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

    Find area of triangle: a = 17cm, b = 22cm, angle = 72°

    Answer: 177.8cm²
  4. 4. Ratio

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

    Answer: 4:2:6
  5. 5. Statistics

    Find the mean, median and range of: 33, 40, 33, 39, 68, 75, 84

    Answer: Mean = 53.1, Median = 40, Range = 51

Tuesday 8 July 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√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 = 29cm, b = 13cm, angle = 70°

    Answer: 177.cm²
  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: 43, 79, 35, 25, 28, 19, 94, 69, 97

    Answer: Mean = 54.3, Median = 43, Range = 78

Wednesday 9 July 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 20cm, b = 25cm, angle = 42°

    Answer: 167.3cm²
  4. 4. Ratio

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

    Answer: 2:4:10
  5. 5. Statistics

    Find the mean, median and range of: 59, 59, 66, 32, 14, 50, 94, 78, 35

    Answer: Mean = 54.1, Median = 59, Range = 80

Thursday 10 July 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 26cm, angle = 51°

    Answer: 171.7cm²
  4. 4. Ratio

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

    Answer: 9:6:12
  5. 5. Statistics

    Find the mean, median and range of: 95, 80, 89, 14, 58, 51, 41, 88

    Answer: Mean = 64.5, Median = 80, Range = 81

Friday 11 July 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 4.6x

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

    Find area of triangle: a = 25cm, b = 22cm, angle = 67°

    Answer: 253.cm²
  4. 4. Ratio

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

    Answer: 2:4:12
  5. 5. Statistics

    Find the mean, median and range of: 97, 79, 44, 29, 100, 84, 59

    Answer: Mean = 70.3, Median = 79, Range = 71