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Capstone Aug 22 - 28 25 questions
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Monday 22 August 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 4.2x

    Answer: (x + 2.1)² - 4.41
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 12cm, angle = 73°

    Answer: 86.cm²
  4. 4. Ratio

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

    Answer: 8:4:3
  5. 5. Statistics

    Find the mean, median and range of: 13, 71, 95, 86, 74, 28, 46

    Answer: Mean = 59, Median = 71, Range = 82

Tuesday 23 August 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 5.6x

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

    Find area of triangle: a = 27cm, b = 18cm, angle = 64°

    Answer: 218.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 54, 33, 91, 91, 13, 87, 50, 86, 50

    Answer: Mean = 61.7, Median = 54, Range = 78

Wednesday 24 August 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 3.6x

    Answer: (x + 1.8)² - 3.24
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 12cm, angle = 42°

    Answer: 80.3cm²
  4. 4. Ratio

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

    Answer: 4:6:18
  5. 5. Statistics

    Find the mean, median and range of: 57, 40, 24, 91, 75, 38, 57, 31

    Answer: Mean = 51.6, Median = 57, Range = 67

Thursday 25 August 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√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 = 22cm, b = 13cm, angle = 58°

    Answer: 121.3cm²
  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: 48, 30, 42, 48, 14, 59, 75

    Answer: Mean = 45.1, Median = 48, Range = 61

Friday 26 August 2022

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 = 13cm, b = 20cm, angle = 68°

    Answer: 120.5cm²
  4. 4. Ratio

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

    Answer: 9:12:16
  5. 5. Statistics

    Find the mean, median and range of: 85, 21, 12, 41, 47, 83, 31

    Answer: Mean = 45.7, Median = 41, Range = 73