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Capstone Jul 11 - 17 25 questions
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Monday 11 July 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 5.2x

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

    Find area of triangle: a = 23cm, b = 29cm, angle = 49°

    Answer: 251.7cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 41, 85, 48, 53, 50, 18, 16, 65, 57

    Answer: Mean = 48.1, Median = 50, Range = 69

Tuesday 12 July 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√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 = 30cm, angle = 79°

    Answer: 323.9cm²
  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: 60, 96, 61, 46, 88, 92, 30

    Answer: Mean = 67.6, Median = 61, Range = 66

Wednesday 13 July 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 3.2x

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

    Find area of triangle: a = 17cm, b = 15cm, angle = 64°

    Answer: 114.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 57, 30, 100, 94, 51, 47, 29, 95

    Answer: Mean = 62.9, Median = 57, Range = 71

Thursday 14 July 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 6x

    Answer: (x + 3)² - 9
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 26cm, angle = 49°

    Answer: 245.3cm²
  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: 48, 16, 67, 34, 64, 87, 13, 64, 55

    Answer: Mean = 49.8, Median = 55, Range = 74

Friday 15 July 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 20cm, b = 20cm, angle = 44°

    Answer: 138.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 50, 38, 84, 81, 23, 18, 10, 61, 95

    Answer: Mean = 51.1, Median = 50, Range = 85