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Capstone Apr 4 - 10 25 questions
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Monday 4 April 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 2.4x

    Answer: (x + 1.2)² - 1.44
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 25cm, angle = 69°

    Answer: 175cm²
  4. 4. Ratio

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

    Answer: 4:6:15
  5. 5. Statistics

    Find the mean, median and range of: 35, 66, 37, 90, 57, 59, 40, 85, 68

    Answer: Mean = 59.7, Median = 59, Range = 55

Tuesday 5 April 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 2.2x

    Answer: (x + 1.1)² - 1.21
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 20cm, angle = 69°

    Answer: 140cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 53, 98, 64, 89, 64, 23, 53, 48

    Answer: Mean = 61.5, Median = 64, Range = 75

Wednesday 6 April 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 4.6x

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

    Find area of triangle: a = 16cm, b = 22cm, angle = 50°

    Answer: 134.8cm²
  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: 24, 100, 82, 97, 36, 44, 31

    Answer: Mean = 59.1, Median = 44, Range = 76

Thursday 7 April 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 30cm, b = 20cm, angle = 53°

    Answer: 239.6cm²
  4. 4. Ratio

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

    Answer: 8:6:18
  5. 5. Statistics

    Find the mean, median and range of: 75, 62, 81, 65, 38, 13, 12

    Answer: Mean = 49.4, Median = 62, Range = 69

Friday 8 April 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 5.4x

    Answer: (x + 2.7)² - 7.29
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 26cm, angle = 53°

    Answer: 311.5cm²
  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: 80, 37, 82, 75, 32, 95, 40, 50

    Answer: Mean = 61.4, Median = 75, Range = 63