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Capstone Nov 29 - Dec 5 25 questions
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Monday 29 November 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 3.4x

    Answer: (x + 1.7)² - 2.89
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 16cm, angle = 44°

    Answer: 77.8cm²
  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: 87, 35, 76, 89, 75, 67, 12, 70

    Answer: Mean = 63.9, Median = 75, Range = 77

Tuesday 30 November 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 2.8x

    Answer: (x + 1.4)² - 1.96
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 29cm, angle = 72°

    Answer: 206.9cm²
  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: 13, 75, 59, 60, 48, 34, 10, 22, 90

    Answer: Mean = 45.7, Median = 48, Range = 80

Wednesday 1 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√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 = 28cm, b = 27cm, angle = 52°

    Answer: 297.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 98, 20, 67, 66, 11, 66, 31

    Answer: Mean = 51.3, Median = 66, Range = 87

Thursday 2 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 14cm, b = 12cm, angle = 78°

    Answer: 82.2cm²
  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: 84, 44, 94, 74, 25, 99, 61

    Answer: Mean = 68.7, Median = 74, Range = 74

Friday 3 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 5x

    Answer: (x + 2.5)² - 6.25
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 21cm, angle = 71°

    Answer: 278cm²
  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: 65, 28, 63, 65, 53, 38, 37, 65

    Answer: Mean = 51.8, Median = 63, Range = 37