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Capstone Mar 1 - 7 25 questions
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Monday 1 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 4.4x

    Answer: (x + 2.2)² - 4.84
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 21cm, angle = 67°

    Answer: 232cm²
  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: 81, 10, 24, 35, 72, 21, 78, 82

    Answer: Mean = 50.4, Median = 72, Range = 72

Tuesday 2 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 2.4x

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

    Find area of triangle: a = 20cm, b = 25cm, angle = 80°

    Answer: 246.2cm²
  4. 4. Ratio

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

    Answer: 9:6:12
  5. 5. Statistics

    Find the mean, median and range of: 97, 89, 96, 50, 97, 46, 54, 74, 54

    Answer: Mean = 73, Median = 74, Range = 51

Wednesday 3 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 26cm, angle = 43°

    Answer: 124.cm²
  4. 4. Ratio

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

    Answer: 8:6:12
  5. 5. Statistics

    Find the mean, median and range of: 94, 63, 74, 74, 51, 68, 78, 34, 59

    Answer: Mean = 66.1, Median = 68, Range = 60

Thursday 4 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√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 = 16cm, b = 16cm, angle = 49°

    Answer: 96.6cm²
  4. 4. Ratio

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

    Answer: 8:4:6
  5. 5. Statistics

    Find the mean, median and range of: 56, 70, 90, 32, 80, 35, 48, 43

    Answer: Mean = 56.8, Median = 56, Range = 58

Friday 5 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 20cm, b = 25cm, angle = 69°

    Answer: 233.4cm²
  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: 61, 95, 59, 60, 19, 74, 78

    Answer: Mean = 63.7, Median = 61, Range = 76