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Capstone Oct 12 - 18 25 questions
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Monday 12 October 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 25cm, b = 23cm, angle = 79°

    Answer: 282.2cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 93, 73, 42, 78, 48, 88, 69, 17, 45

    Answer: Mean = 61.4, Median = 69, Range = 76

Tuesday 13 October 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 5.2x

    Answer: (x + 2.6)² - 6.76
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 15cm, angle = 46°

    Answer: 70.cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 4:5. Find a:b:c.

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

    Find the mean, median and range of: 41, 69, 19, 67, 41, 64, 69, 46

    Answer: Mean = 52, Median = 64, Range = 50

Wednesday 14 October 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  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 = 26cm, angle = 62°

    Answer: 172.2cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 54, 47, 23, 58, 96, 82, 32, 53

    Answer: Mean = 55.6, Median = 54, Range = 73

Thursday 15 October 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 22cm, b = 26cm, angle = 63°

    Answer: 254.8cm²
  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: 44, 61, 92, 58, 25, 66, 84, 47, 46

    Answer: Mean = 58.1, Median = 58, Range = 67

Friday 16 October 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 4x

    Answer: (x + 2)² - 4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 16cm, angle = 41°

    Answer: 94.5cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 56, 75, 92, 28, 84, 67, 59

    Answer: Mean = 65.9, Median = 67, Range = 64