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Capstone Jun 8 - 14 25 questions
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Monday 8 June 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  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 = 27cm, angle = 55°

    Answer: 199.cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 25, 41, 72, 23, 88, 47, 37, 16

    Answer: Mean = 43.6, Median = 41, Range = 72

Tuesday 9 June 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 4.4x

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

    Find area of triangle: a = 21cm, b = 13cm, angle = 63°

    Answer: 121.6cm²
  4. 4. Ratio

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

    Answer: 4:2:6
  5. 5. Statistics

    Find the mean, median and range of: 85, 91, 39, 55, 72, 37, 57, 24

    Answer: Mean = 57.5, Median = 57, Range = 67

Wednesday 10 June 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 12cm, b = 26cm, angle = 71°

    Answer: 147.5cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 22, 32, 82, 70, 49, 54, 33, 42, 55

    Answer: Mean = 48.8, Median = 49, Range = 60

Thursday 11 June 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√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 = 29cm, b = 13cm, angle = 66°

    Answer: 172.2cm²
  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: 19, 60, 37, 44, 65, 11, 69, 24

    Answer: Mean = 41.1, Median = 44, Range = 58

Friday 12 June 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 3.4x

    Answer: (x + 1.7)² - 2.89
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 12cm, angle = 65°

    Answer: 163.cm²
  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: 18, 64, 90, 25, 21, 38, 16, 57, 95

    Answer: Mean = 47.1, Median = 38, Range = 79