Change pack
Capstone May 31 - Jun 6 25 questions
PDF (questions) PDF (answers)

Monday 31 May 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 19cm, b = 23cm, angle = 59°

    Answer: 187.3cm²
  4. 4. Ratio

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

    Answer: 16:12:9
  5. 5. Statistics

    Find the mean, median and range of: 16, 61, 23, 65, 40, 20, 51, 92

    Answer: Mean = 46, Median = 51, Range = 76

Tuesday 1 June 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 3.8x

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

    Find area of triangle: a = 18cm, b = 27cm, angle = 52°

    Answer: 191.5cm²
  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: 86, 20, 20, 97, 18, 24, 79, 48, 15

    Answer: Mean = 45.2, Median = 24, Range = 82

Wednesday 2 June 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 4x

    Answer: (x + 2)² - 4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 12cm, angle = 72°

    Answer: 97cm²
  4. 4. Ratio

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

    Answer: 2:3:4
  5. 5. Statistics

    Find the mean, median and range of: 23, 80, 77, 59, 44, 76, 63, 63, 28

    Answer: Mean = 57, Median = 63, Range = 57

Thursday 3 June 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√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 = 18cm, b = 29cm, angle = 50°

    Answer: 199.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 13, 93, 40, 76, 31, 45, 66, 95

    Answer: Mean = 57.4, Median = 66, Range = 82

Friday 4 June 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√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 = 29cm, b = 17cm, angle = 73°

    Answer: 235.7cm²
  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: 30, 35, 14, 31, 10, 11, 66

    Answer: Mean = 28.1, Median = 30, Range = 56