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Capstone Nov 11 - 17 25 questions
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Monday 11 November 2019

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 = 12cm, b = 20cm, angle = 55°

    Answer: 98.3cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 2:5. Find a:b:c.

    Answer: 3:4:10
  5. 5. Statistics

    Find the mean, median and range of: 23, 52, 72, 27, 99, 55, 51, 55, 78

    Answer: Mean = 56.9, Median = 55, Range = 76

Tuesday 12 November 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 5.8x

    Answer: (x + 2.9)² - 8.41
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 16cm, angle = 57°

    Answer: 107.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 52, 20, 44, 82, 92, 67, 100

    Answer: Mean = 65.3, Median = 67, Range = 80

Wednesday 13 November 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√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 = 30cm, b = 16cm, angle = 50°

    Answer: 183.9cm²
  4. 4. Ratio

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

    Answer: 4:6:9
  5. 5. Statistics

    Find the mean, median and range of: 23, 22, 26, 63, 58, 80, 16, 94

    Answer: Mean = 47.8, Median = 58, Range = 78

Thursday 14 November 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 2.4x

    Answer: (x + 1.2)² - 1.44
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 28cm, angle = 75°

    Answer: 351.6cm²
  4. 4. Ratio

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

    Answer: 2:3:4
  5. 5. Statistics

    Find the mean, median and range of: 91, 16, 34, 69, 42, 30, 89, 29, 61

    Answer: Mean = 51.2, Median = 42, Range = 75

Friday 15 November 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 5.2x

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

    Find area of triangle: a = 22cm, b = 25cm, angle = 46°

    Answer: 197.8cm²
  4. 4. Ratio

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

    Answer: 8:12:9
  5. 5. Statistics

    Find the mean, median and range of: 47, 23, 58, 95, 51, 46, 55, 15, 92

    Answer: Mean = 53.6, Median = 51, Range = 80