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Capstone Jan 17 - 23 25 questions
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Monday 17 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√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 = 27cm, b = 21cm, angle = 66°

    Answer: 259cm²
  4. 4. Ratio

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

    Answer: 9:12:24
  5. 5. Statistics

    Find the mean, median and range of: 15, 24, 90, 70, 74, 23, 33

    Answer: Mean = 47, Median = 33, Range = 75

Tuesday 18 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 2.6x

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

    Find area of triangle: a = 19cm, b = 12cm, angle = 65°

    Answer: 103.3cm²
  4. 4. Ratio

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

    Answer: 16:12:9
  5. 5. Statistics

    Find the mean, median and range of: 40, 37, 35, 100, 100, 32, 100

    Answer: Mean = 63.4, Median = 40, Range = 68

Wednesday 19 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 28cm, b = 22cm, angle = 80°

    Answer: 303.3cm²
  4. 4. Ratio

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

    Answer: 3:4:6
  5. 5. Statistics

    Find the mean, median and range of: 20, 31, 44, 98, 52, 17, 68, 37

    Answer: Mean = 45.9, Median = 44, Range = 81

Thursday 20 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√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 = 26cm, b = 22cm, angle = 71°

    Answer: 270.4cm²
  4. 4. Ratio

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

    Answer: 6:12:16
  5. 5. Statistics

    Find the mean, median and range of: 100, 18, 40, 23, 25, 96, 75, 89

    Answer: Mean = 58.3, Median = 75, Range = 82

Friday 21 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 20cm, b = 19cm, angle = 43°

    Answer: 129.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 82, 23, 12, 20, 95, 85, 11, 85, 82

    Answer: Mean = 55, Median = 82, Range = 84