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Capstone Nov 14 - 20 25 questions
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Monday 14 November 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 14cm, b = 22cm, angle = 57°

    Answer: 129.2cm²
  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: 35, 40, 64, 61, 24, 74, 84, 18

    Answer: Mean = 50, Median = 61, Range = 66

Tuesday 15 November 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 12cm, b = 28cm, angle = 66°

    Answer: 153.5cm²
  4. 4. Ratio

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

    Answer: 6:12:16
  5. 5. Statistics

    Find the mean, median and range of: 50, 12, 84, 57, 48, 61, 30, 74, 26

    Answer: Mean = 49.1, Median = 50, Range = 72

Wednesday 16 November 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 2.2x

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

    Find area of triangle: a = 22cm, b = 28cm, angle = 77°

    Answer: 300.cm²
  4. 4. Ratio

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

    Answer: 2:4:8
  5. 5. Statistics

    Find the mean, median and range of: 69, 44, 15, 25, 17, 81, 55, 19

    Answer: Mean = 40.6, Median = 44, Range = 66

Thursday 17 November 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 5.8x

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

    Find area of triangle: a = 21cm, b = 19cm, angle = 42°

    Answer: 133.5cm²
  4. 4. Ratio

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

    Answer: 3:4:10
  5. 5. Statistics

    Find the mean, median and range of: 84, 77, 49, 64, 41, 17, 58, 33

    Answer: Mean = 52.9, Median = 58, Range = 67

Friday 18 November 2022

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 = 15cm, b = 27cm, angle = 61°

    Answer: 177.cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 76, 15, 19, 74, 51, 24, 23, 53

    Answer: Mean = 41.9, Median = 51, Range = 61