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Capstone Jul 27 - Aug 2 25 questions
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Monday 27 July 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 4.6x

    Answer: (x + 2.3)² - 5.29
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 29cm, angle = 45°

    Answer: 205.cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 2:5. Find a:b:c.

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

    Find the mean, median and range of: 19, 33, 86, 70, 66, 53, 79

    Answer: Mean = 58, Median = 66, Range = 67

Tuesday 28 July 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 3.2x

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

    Find area of triangle: a = 23cm, b = 23cm, angle = 68°

    Answer: 245.2cm²
  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: 43, 73, 65, 12, 48, 56, 45, 64, 45

    Answer: Mean = 50.1, Median = 48, Range = 61

Wednesday 29 July 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 = 13cm, b = 23cm, angle = 47°

    Answer: 109.3cm²
  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: 19, 62, 29, 39, 16, 23, 21, 88, 34

    Answer: Mean = 36.8, Median = 29, Range = 72

Thursday 30 July 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 = 14cm, b = 18cm, angle = 47°

    Answer: 92.2cm²
  4. 4. Ratio

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

    Answer: 2:4:10
  5. 5. Statistics

    Find the mean, median and range of: 37, 58, 86, 36, 14, 78, 100

    Answer: Mean = 58.4, Median = 58, Range = 86

Friday 31 July 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 26cm, b = 18cm, angle = 42°

    Answer: 156.6cm²
  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: 18, 21, 29, 50, 84, 59, 92, 50

    Answer: Mean = 50.4, Median = 50, Range = 74