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Capstone Feb 7 - 13 25 questions
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Monday 7 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 2.8x

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

    Find area of triangle: a = 25cm, b = 25cm, angle = 61°

    Answer: 273.3cm²
  4. 4. Ratio

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

    Answer: 3:2:4
  5. 5. Statistics

    Find the mean, median and range of: 79, 71, 81, 70, 89, 77, 100, 28

    Answer: Mean = 74.4, Median = 79, Range = 72

Tuesday 8 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√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 = 23cm, b = 25cm, angle = 70°

    Answer: 270.2cm²
  4. 4. Ratio

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

    Answer: 8:12:18
  5. 5. Statistics

    Find the mean, median and range of: 59, 88, 27, 22, 67, 11, 75

    Answer: Mean = 49.9, Median = 59, Range = 77

Wednesday 9 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 4x

    Answer: (x + 2)² - 4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 25cm, angle = 69°

    Answer: 280.cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 69, 97, 23, 16, 51, 49, 17, 23

    Answer: Mean = 43.1, Median = 49, Range = 81

Thursday 10 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 3.2x

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

    Find area of triangle: a = 26cm, b = 18cm, angle = 74°

    Answer: 224.9cm²
  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: 27, 64, 63, 89, 13, 67, 98, 41, 68

    Answer: Mean = 58.9, Median = 64, Range = 85

Friday 11 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 4.8x

    Answer: (x + 2.4)² - 5.76
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 27cm, angle = 44°

    Answer: 234.4cm²
  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: 15, 56, 62, 22, 21, 88, 51, 99, 74

    Answer: Mean = 54.2, Median = 56, Range = 84