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Capstone May 2 - 8 25 questions
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Monday 2 May 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 4.4x

    Answer: (x + 2.2)² - 4.84
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 29cm, angle = 53°

    Answer: 277.9cm²
  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: 89, 41, 86, 31, 17, 10, 62, 51

    Answer: Mean = 48.4, Median = 51, Range = 79

Tuesday 3 May 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 5.2x

    Answer: (x + 2.6)² - 6.76
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 17cm, angle = 61°

    Answer: 118.9cm²
  4. 4. Ratio

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

    Answer: 4:6:15
  5. 5. Statistics

    Find the mean, median and range of: 70, 82, 79, 40, 23, 77, 47

    Answer: Mean = 59.7, Median = 70, Range = 59

Wednesday 4 May 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2.4x

    Answer: (x + 1.2)² - 1.44
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 15cm, angle = 45°

    Answer: 79.5cm²
  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: 53, 72, 58, 82, 95, 13, 10, 59, 22

    Answer: Mean = 51.6, Median = 58, Range = 85

Thursday 5 May 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 3.6x

    Answer: (x + 1.8)² - 3.24
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 22cm, angle = 70°

    Answer: 279.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: 56, 84, 89, 97, 27, 95, 60, 82

    Answer: Mean = 73.8, Median = 84, Range = 70

Friday 6 May 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 13cm, b = 25cm, angle = 76°

    Answer: 157.7cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 42, 65, 74, 20, 91, 20, 57

    Answer: Mean = 52.7, Median = 57, Range = 71