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Capstone Aug 24 - 30 25 questions
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Monday 24 August 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 5.6x

    Answer: (x + 2.8)² - 7.84
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 18cm, angle = 43°

    Answer: 110.5cm²
  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: 100, 92, 69, 36, 17, 48, 18

    Answer: Mean = 54.3, Median = 48, Range = 83

Tuesday 25 August 2020

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 = 16cm, b = 20cm, angle = 74°

    Answer: 153.8cm²
  4. 4. Ratio

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

    Answer: 4:6:12
  5. 5. Statistics

    Find the mean, median and range of: 33, 100, 72, 55, 21, 93, 66, 13

    Answer: Mean = 56.6, Median = 66, Range = 87

Wednesday 26 August 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 26cm, b = 18cm, angle = 69°

    Answer: 218.5cm²
  4. 4. Ratio

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

    Answer: 8:12:18
  5. 5. Statistics

    Find the mean, median and range of: 99, 84, 11, 19, 99, 20, 19, 19, 67

    Answer: Mean = 48.6, Median = 20, Range = 88

Thursday 27 August 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 = 27cm, b = 23cm, angle = 65°

    Answer: 281.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 73, 13, 82, 40, 12, 98, 40, 48, 86

    Answer: Mean = 54.7, Median = 48, Range = 86

Friday 28 August 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 13cm, b = 13cm, angle = 77°

    Answer: 82.3cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 3:5. Find a:b:c.

    Answer: 6:12:20
  5. 5. Statistics

    Find the mean, median and range of: 11, 11, 63, 42, 36, 35, 87, 82, 22

    Answer: Mean = 43.2, Median = 36, Range = 76