Change pack
Capstone Dec 28 - Jan 3 25 questions
PDF (questions) PDF (answers)

Monday 28 December 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 5.8x

    Answer: (x + 2.9)² - 8.41
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 12cm, angle = 65°

    Answer: 65.3cm²
  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: 15, 81, 94, 44, 65, 50, 87

    Answer: Mean = 62.3, Median = 65, Range = 79

Tuesday 29 December 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 5x

    Answer: (x + 2.5)² - 6.25
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 19cm, angle = 67°

    Answer: 183.6cm²
  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: 81, 30, 87, 86, 96, 61, 50, 35

    Answer: Mean = 65.8, Median = 81, Range = 66

Wednesday 30 December 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√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 = 13cm, b = 28cm, angle = 48°

    Answer: 135.3cm²
  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: 59, 55, 87, 77, 70, 24, 23, 82

    Answer: Mean = 59.6, Median = 70, Range = 64

Thursday 31 December 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 5.6x

    Answer: (x + 2.8)² - 7.84
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 14cm, angle = 77°

    Answer: 129.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 99, 63, 59, 35, 87, 74, 59, 46

    Answer: Mean = 65.3, Median = 63, Range = 64

Friday 1 January 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 27cm, b = 19cm, angle = 40°

    Answer: 164.9cm²
  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: 24, 98, 99, 36, 48, 66, 42

    Answer: Mean = 59, Median = 48, Range = 75