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Capstone Sep 5 - 11 25 questions
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Monday 5 September 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 3.4x

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

    Find area of triangle: a = 22cm, b = 29cm, angle = 43°

    Answer: 217.6cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 2:5. Find a:b:c.

    Answer: 3:4:10
  5. 5. Statistics

    Find the mean, median and range of: 17, 75, 88, 59, 72, 44, 97, 85, 60

    Answer: Mean = 66.3, Median = 72, Range = 80

Tuesday 6 September 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 29cm, b = 30cm, angle = 62°

    Answer: 384.cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 59, 18, 22, 56, 25, 20, 100, 45, 83

    Answer: Mean = 47.6, Median = 45, Range = 82

Wednesday 7 September 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 6x

    Answer: (x + 3)² - 9
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 18cm, angle = 51°

    Answer: 111.9cm²
  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: 88, 58, 11, 84, 67, 29, 28

    Answer: Mean = 52.1, Median = 58, Range = 77

Thursday 8 September 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√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 = 12cm, b = 18cm, angle = 42°

    Answer: 72.3cm²
  4. 4. Ratio

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

    Answer: 8:6:9
  5. 5. Statistics

    Find the mean, median and range of: 96, 36, 50, 77, 50, 18, 65, 20

    Answer: Mean = 51.5, Median = 50, Range = 78

Friday 9 September 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√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 = 25cm, b = 17cm, angle = 46°

    Answer: 152.9cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 4:5. Find a:b:c.

    Answer: 8:12:15
  5. 5. Statistics

    Find the mean, median and range of: 99, 29, 12, 11, 10, 59, 57

    Answer: Mean = 39.6, Median = 29, Range = 89