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Capstone Aug 10 - 16 25 questions
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Monday 10 August 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 = 28cm, b = 27cm, angle = 63°

    Answer: 336.8cm²
  4. 4. Ratio

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

    Answer: 2:4:6
  5. 5. Statistics

    Find the mean, median and range of: 67, 80, 59, 94, 84, 19, 77, 68

    Answer: Mean = 68.5, Median = 77, Range = 75

Tuesday 11 August 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5.2x

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

    Find area of triangle: a = 18cm, b = 26cm, angle = 56°

    Answer: 194cm²
  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: 18, 29, 62, 11, 32, 62, 87

    Answer: Mean = 43, Median = 32, Range = 76

Wednesday 12 August 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 2.2x

    Answer: (x + 1.1)² - 1.21
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 18cm, angle = 79°

    Answer: 194.4cm²
  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: 88, 33, 24, 81, 13, 31, 59, 36

    Answer: Mean = 45.6, Median = 36, Range = 75

Thursday 13 August 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 = 30cm, b = 26cm, angle = 69°

    Answer: 364.cm²
  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: 47, 39, 96, 94, 80, 21, 84

    Answer: Mean = 65.9, Median = 80, Range = 75

Friday 14 August 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√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 = 28cm, b = 25cm, angle = 61°

    Answer: 306.cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 69, 73, 25, 100, 62, 43, 93

    Answer: Mean = 66.4, Median = 69, Range = 75