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Capstone Feb 8 - 14 25 questions
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Monday 8 February 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 3.2x

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

    Find area of triangle: a = 14cm, b = 26cm, angle = 63°

    Answer: 162.2cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 85, 54, 63, 73, 28, 89, 69, 42

    Answer: Mean = 62.9, Median = 69, Range = 61

Tuesday 9 February 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√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 = 17cm, b = 29cm, angle = 46°

    Answer: 177.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 90, 65, 82, 85, 100, 83, 36, 24

    Answer: Mean = 70.6, Median = 83, Range = 76

Wednesday 10 February 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 16cm, b = 28cm, angle = 74°

    Answer: 215.3cm²
  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: 43, 15, 71, 83, 46, 80, 36

    Answer: Mean = 53.4, Median = 46, Range = 68

Thursday 11 February 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√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 = 14cm, b = 15cm, angle = 42°

    Answer: 70.3cm²
  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: 97, 30, 90, 12, 58, 17, 43, 14, 63

    Answer: Mean = 47.1, Median = 43, Range = 85

Friday 12 February 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 2.8x

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

    Find area of triangle: a = 21cm, b = 23cm, angle = 52°

    Answer: 190.3cm²
  4. 4. Ratio

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

    Answer: 3:4:12
  5. 5. Statistics

    Find the mean, median and range of: 17, 15, 35, 47, 71, 87, 38

    Answer: Mean = 44.3, Median = 38, Range = 72