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Capstone Feb 28 - Mar 6 25 questions
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Monday 28 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 15cm, b = 20cm, angle = 72°

    Answer: 142.7cm²
  4. 4. Ratio

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

    Answer: 3:4:12
  5. 5. Statistics

    Find the mean, median and range of: 69, 86, 69, 53, 32, 22, 26, 93, 25

    Answer: Mean = 52.8, Median = 53, Range = 71

Tuesday 1 March 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 27cm, b = 18cm, angle = 77°

    Answer: 236.8cm²
  4. 4. Ratio

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

    Answer: 2:4:12
  5. 5. Statistics

    Find the mean, median and range of: 78, 13, 15, 43, 92, 69, 43, 45

    Answer: Mean = 49.8, Median = 45, Range = 79

Wednesday 2 March 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 2.8x

    Answer: (x + 1.4)² - 1.96
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 27cm, angle = 66°

    Answer: 246.7cm²
  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: 22, 36, 97, 48, 42, 26, 51

    Answer: Mean = 46, Median = 42, Range = 75

Thursday 3 March 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 2.4x

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

    Find area of triangle: a = 21cm, b = 17cm, angle = 54°

    Answer: 144.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 28, 35, 47, 57, 89, 74, 27, 36, 31

    Answer: Mean = 47.1, Median = 36, Range = 62

Friday 4 March 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 5.4x

    Answer: (x + 2.7)² - 7.29
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 20cm, angle = 42°

    Answer: 167.3cm²
  4. 4. Ratio

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

    Answer: 8:12:9
  5. 5. Statistics

    Find the mean, median and range of: 76, 70, 50, 95, 37, 18, 51

    Answer: Mean = 56.7, Median = 51, Range = 77