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Capstone Jul 13 - 19 25 questions
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Monday 13 July 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5.4x

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

    Find area of triangle: a = 16cm, b = 23cm, angle = 50°

    Answer: 141cm²
  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: 33, 43, 15, 27, 26, 83, 88, 71, 99

    Answer: Mean = 53.9, Median = 43, Range = 84

Tuesday 14 July 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 3x

    Answer: (x + 1.5)² - 2.25
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 19cm, angle = 50°

    Answer: 181.9cm²
  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: 100, 48, 56, 67, 83, 13, 100, 36, 67

    Answer: Mean = 63.3, Median = 67, Range = 87

Wednesday 15 July 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√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 = 27cm, b = 27cm, angle = 45°

    Answer: 257.7cm²
  4. 4. Ratio

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

    Answer: 8:12:9
  5. 5. Statistics

    Find the mean, median and range of: 27, 14, 93, 34, 23, 38, 32

    Answer: Mean = 37.3, Median = 32, Range = 79

Thursday 16 July 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 3.2x

    Answer: (x + 1.6)² - 2.56
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 22cm, angle = 61°

    Answer: 269.4cm²
  4. 4. Ratio

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

    Answer: 8:6:15
  5. 5. Statistics

    Find the mean, median and range of: 52, 52, 16, 15, 43, 86, 27

    Answer: Mean = 41.6, Median = 43, Range = 71

Friday 17 July 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 14cm, b = 23cm, angle = 74°

    Answer: 154.8cm²
  4. 4. Ratio

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

    Answer: 9:6:10
  5. 5. Statistics

    Find the mean, median and range of: 22, 87, 24, 49, 37, 16, 15, 61, 36

    Answer: Mean = 38.6, Median = 36, Range = 72