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Capstone Oct 17 - 23 25 questions
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Monday 17 October 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√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 = 29cm, b = 25cm, angle = 42°

    Answer: 242.6cm²
  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: 41, 13, 42, 68, 52, 97, 72

    Answer: Mean = 55, Median = 52, Range = 84

Tuesday 18 October 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5.8x

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

    Find area of triangle: a = 23cm, b = 24cm, angle = 69°

    Answer: 257.7cm²
  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: 27, 56, 65, 44, 89, 68, 92, 100

    Answer: Mean = 67.6, Median = 68, Range = 73

Wednesday 19 October 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 22cm, b = 22cm, angle = 45°

    Answer: 171.cm²
  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: 58, 39, 76, 65, 38, 83, 48, 60

    Answer: Mean = 58.4, Median = 60, Range = 45

Thursday 20 October 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 28cm, b = 22cm, angle = 52°

    Answer: 242.7cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 2:5. Find a:b:c.

    Answer: 8:6:15
  5. 5. Statistics

    Find the mean, median and range of: 16, 28, 10, 14, 71, 49, 24

    Answer: Mean = 30.3, Median = 24, Range = 61

Friday 21 October 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 3.2x

    Answer: (x + 1.6)² - 2.56
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 18cm, angle = 49°

    Answer: 129.cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 4:5. Find a:b:c.

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

    Find the mean, median and range of: 64, 29, 35, 56, 78, 100, 79, 96

    Answer: Mean = 67.1, Median = 78, Range = 71