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Capstone Jan 27 - Feb 2 25 questions
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Monday 27 January 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 2x

    Answer: (x + 1)² - 1
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 20cm, angle = 52°

    Answer: 204.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 95, 26, 12, 57, 60, 11, 18, 59, 75

    Answer: Mean = 45.9, Median = 57, Range = 84

Tuesday 28 January 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 = 16cm, b = 12cm, angle = 58°

    Answer: 81.4cm²
  4. 4. Ratio

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

    Answer: 8:6:15
  5. 5. Statistics

    Find the mean, median and range of: 81, 23, 38, 68, 84, 69, 95, 42

    Answer: Mean = 62.5, Median = 69, Range = 72

Wednesday 29 January 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 2.6x

    Answer: (x + 1.3)² - 1.69
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 25cm, angle = 41°

    Answer: 237.8cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 3:5. Find a:b:c.

    Answer: 6:12:20
  5. 5. Statistics

    Find the mean, median and range of: 62, 33, 10, 82, 27, 91, 18, 64

    Answer: Mean = 48.4, Median = 62, Range = 81

Thursday 30 January 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 5.6x

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

    Find area of triangle: a = 26cm, b = 13cm, angle = 48°

    Answer: 125.6cm²
  4. 4. Ratio

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

    Answer: 8:12:15
  5. 5. Statistics

    Find the mean, median and range of: 64, 65, 76, 63, 31, 27, 87

    Answer: Mean = 59, Median = 64, Range = 60

Friday 31 January 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 = 18cm, b = 13cm, angle = 68°

    Answer: 108.5cm²
  4. 4. Ratio

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

    Answer: 16:12:15
  5. 5. Statistics

    Find the mean, median and range of: 70, 87, 16, 28, 79, 18, 88, 90, 99

    Answer: Mean = 63.9, Median = 79, Range = 83