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Capstone Apr 18 - 24 25 questions
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Monday 18 April 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√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 = 30cm, b = 27cm, angle = 59°

    Answer: 347.2cm²
  4. 4. Ratio

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

    Answer: 16:12:15
  5. 5. Statistics

    Find the mean, median and range of: 70, 51, 52, 28, 49, 48, 92

    Answer: Mean = 55.7, Median = 51, Range = 64

Tuesday 19 April 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 18cm, b = 30cm, angle = 45°

    Answer: 190.9cm²
  4. 4. Ratio

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

    Answer: 4:3:6
  5. 5. Statistics

    Find the mean, median and range of: 17, 67, 87, 95, 51, 27, 43, 83, 26

    Answer: Mean = 55.1, Median = 51, Range = 78

Wednesday 20 April 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 13cm, b = 12cm, angle = 63°

    Answer: 69.5cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 39, 62, 47, 10, 97, 49, 82, 50

    Answer: Mean = 54.5, Median = 50, Range = 87

Thursday 21 April 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 2.6x

    Answer: (x + 1.3)² - 1.69
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 12cm, angle = 71°

    Answer: 130.5cm²
  4. 4. Ratio

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

    Answer: 4:6:18
  5. 5. Statistics

    Find the mean, median and range of: 80, 10, 67, 90, 59, 84, 91, 37, 16

    Answer: Mean = 59.3, Median = 67, Range = 81

Friday 22 April 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 28cm, angle = 64°

    Answer: 176.2cm²
  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, 71, 12, 31, 79, 12, 77, 85

    Answer: Mean = 49.3, Median = 71, Range = 73