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Capstone Jun 20 - 26 25 questions
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Monday 20 June 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√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 = 19cm, b = 29cm, angle = 60°

    Answer: 238.6cm²
  4. 4. Ratio

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

    Answer: 2:4:8
  5. 5. Statistics

    Find the mean, median and range of: 19, 62, 32, 12, 28, 24, 88, 34, 47

    Answer: Mean = 38.4, Median = 32, Range = 76

Tuesday 21 June 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 4.2x

    Answer: (x + 2.1)² - 4.41
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 26cm, angle = 44°

    Answer: 261.9cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 4:5. Find a:b:c.

    Answer: 8:4:5
  5. 5. Statistics

    Find the mean, median and range of: 32, 44, 55, 32, 93, 94, 96

    Answer: Mean = 63.7, Median = 55, Range = 64

Wednesday 22 June 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 3.6x

    Answer: (x + 1.8)² - 3.24
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 26cm, angle = 40°

    Answer: 234cm²
  4. 4. Ratio

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

    Answer: 4:6:12
  5. 5. Statistics

    Find the mean, median and range of: 97, 57, 63, 22, 13, 88, 50, 52, 92

    Answer: Mean = 59.3, Median = 57, Range = 84

Thursday 23 June 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5.6x

    Answer: (x + 2.8)² - 7.84
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 25cm, angle = 76°

    Answer: 266.8cm²
  4. 4. Ratio

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

    Answer: 8:6:12
  5. 5. Statistics

    Find the mean, median and range of: 17, 41, 18, 62, 24, 41, 100, 68

    Answer: Mean = 46.4, Median = 41, Range = 83

Friday 24 June 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 3x

    Answer: (x + 1.5)² - 2.25
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 12cm, angle = 58°

    Answer: 142.5cm²
  4. 4. Ratio

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

    Answer: 8:4:3
  5. 5. Statistics

    Find the mean, median and range of: 45, 46, 43, 77, 66, 36, 93, 35, 66

    Answer: Mean = 56.3, Median = 46, Range = 58