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Capstone Sep 3 - 9 25 questions
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Monday 3 September 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 3.4x

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

    Find area of triangle: a = 29cm, b = 23cm, angle = 78°

    Answer: 326.2cm²
  4. 4. Ratio

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

    Answer: 9:12:20
  5. 5. Statistics

    Find the mean, median and range of: 82, 96, 66, 91, 69, 48, 39, 51

    Answer: Mean = 67.8, Median = 69, Range = 57

Tuesday 4 September 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√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 = 26cm, b = 12cm, angle = 65°

    Answer: 141.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 91, 52, 79, 47, 36, 22, 95, 66

    Answer: Mean = 61, Median = 66, Range = 73

Wednesday 5 September 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 2.6x

    Answer: (x + 1.3)² - 1.69
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 12cm, angle = 52°

    Answer: 89.8cm²
  4. 4. Ratio

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

    Answer: 6:12:24
  5. 5. Statistics

    Find the mean, median and range of: 40, 49, 75, 71, 67, 97, 23

    Answer: Mean = 60.3, Median = 67, Range = 74

Thursday 6 September 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√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 = 22cm, b = 13cm, angle = 43°

    Answer: 97.5cm²
  4. 4. Ratio

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

    Answer: 16:12:18
  5. 5. Statistics

    Find the mean, median and range of: 49, 84, 64, 96, 41, 49, 97, 77

    Answer: Mean = 69.6, Median = 77, Range = 56

Friday 7 September 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 28cm, b = 12cm, angle = 65°

    Answer: 152.3cm²
  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: 33, 20, 16, 34, 33, 96, 74, 86, 38

    Answer: Mean = 47.8, Median = 34, Range = 80