Change pack
Capstone Oct 4 - 10 25 questions
PDF (questions) PDF (answers)

Monday 4 October 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√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 = 24cm, b = 18cm, angle = 68°

    Answer: 200.3cm²
  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: 96, 89, 63, 79, 24, 70, 71

    Answer: Mean = 70.3, Median = 71, Range = 72

Tuesday 5 October 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 5.4x

    Answer: (x + 2.7)² - 7.29
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 14cm, angle = 49°

    Answer: 116.2cm²
  4. 4. Ratio

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

    Answer: 3:2:6
  5. 5. Statistics

    Find the mean, median and range of: 22, 82, 76, 91, 16, 47, 91

    Answer: Mean = 60.7, Median = 76, Range = 75

Wednesday 6 October 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√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 = 14cm, angle = 78°

    Answer: 171.2cm²
  4. 4. Ratio

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

    Answer: 9:12:24
  5. 5. Statistics

    Find the mean, median and range of: 36, 47, 89, 63, 61, 94, 56

    Answer: Mean = 63.7, Median = 61, Range = 58

Thursday 7 October 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 30cm, b = 17cm, angle = 70°

    Answer: 239.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 96, 85, 59, 34, 58, 82, 72

    Answer: Mean = 69.4, Median = 72, Range = 62

Friday 8 October 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√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 = 19cm, b = 28cm, angle = 53°

    Answer: 212.4cm²
  4. 4. Ratio

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

    Answer: 6:12:24
  5. 5. Statistics

    Find the mean, median and range of: 99, 40, 17, 87, 74, 72, 93, 80, 60

    Answer: Mean = 69.1, Median = 74, Range = 82