Change pack
Capstone May 5 - 11 25 questions
PDF (questions) PDF (answers)

Monday 5 May 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 2.2x

    Answer: (x + 1.1)² - 1.21
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 14cm, angle = 46°

    Answer: 70.5cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 61, 89, 51, 73, 68, 12, 93, 46

    Answer: Mean = 61.6, Median = 68, Range = 81

Tuesday 6 May 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 24cm, b = 30cm, angle = 58°

    Answer: 305.3cm²
  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: 41, 100, 97, 31, 33, 19, 73

    Answer: Mean = 56.3, Median = 41, Range = 81

Wednesday 7 May 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 17cm, b = 21cm, angle = 68°

    Answer: 165.5cm²
  4. 4. Ratio

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

    Answer: 9:6:8
  5. 5. Statistics

    Find the mean, median and range of: 86, 85, 22, 34, 89, 73, 62, 67

    Answer: Mean = 64.8, Median = 73, Range = 67

Thursday 8 May 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 2.6x

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

    Find area of triangle: a = 28cm, b = 25cm, angle = 54°

    Answer: 283.2cm²
  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: 17, 29, 50, 81, 46, 60, 82

    Answer: Mean = 52.1, Median = 50, Range = 65

Friday 9 May 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√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 = 30cm, angle = 47°

    Answer: 296.2cm²
  4. 4. Ratio

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

    Answer: 3:4:8
  5. 5. Statistics

    Find the mean, median and range of: 68, 95, 70, 99, 47, 62, 40, 29, 76

    Answer: Mean = 65.1, Median = 68, Range = 70