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Capstone May 18 - 24 25 questions
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Monday 18 May 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 4.6x

    Answer: (x + 2.3)² - 5.29
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 26cm, angle = 65°

    Answer: 153.2cm²
  4. 4. Ratio

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

    Answer: 16:12:18
  5. 5. Statistics

    Find the mean, median and range of: 49, 90, 27, 37, 29, 74, 49

    Answer: Mean = 50.7, Median = 49, Range = 63

Tuesday 19 May 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 4.8x

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

    Find area of triangle: a = 12cm, b = 30cm, angle = 71°

    Answer: 170.2cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 3:5. Find a:b:c.

    Answer: 12:6:10
  5. 5. Statistics

    Find the mean, median and range of: 48, 27, 29, 68, 84, 81, 65

    Answer: Mean = 57.4, Median = 65, Range = 57

Wednesday 20 May 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 27cm, b = 22cm, angle = 61°

    Answer: 259.8cm²
  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: 93, 20, 82, 92, 55, 64, 93, 11, 87

    Answer: Mean = 66.3, Median = 82, Range = 82

Thursday 21 May 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 5.4x

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

    Find area of triangle: a = 26cm, b = 19cm, angle = 65°

    Answer: 223.9cm²
  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: 89, 35, 33, 96, 55, 12, 25, 86, 78

    Answer: Mean = 56.6, Median = 55, Range = 84

Friday 22 May 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 15cm, b = 20cm, angle = 76°

    Answer: 145.5cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 44, 74, 20, 58, 19, 19, 84, 84, 20

    Answer: Mean = 46.9, Median = 44, Range = 65