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Capstone Apr 23 - 29 25 questions
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Monday 23 April 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 17cm, b = 24cm, angle = 63°

    Answer: 181.8cm²
  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: 47, 21, 79, 52, 39, 85, 30

    Answer: Mean = 50.4, Median = 47, Range = 64

Tuesday 24 April 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5x

    Answer: (x + 2.5)² - 6.25
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 21cm, angle = 40°

    Answer: 148.5cm²
  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: 16, 85, 27, 100, 46, 50, 23

    Answer: Mean = 49.6, Median = 46, Range = 84

Wednesday 25 April 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 4.2x

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

    Find area of triangle: a = 16cm, b = 26cm, angle = 71°

    Answer: 196.7cm²
  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: 19, 88, 27, 13, 45, 69, 92, 53

    Answer: Mean = 50.8, Median = 53, Range = 79

Thursday 26 April 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 4x

    Answer: (x + 2)² - 4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 28cm, angle = 41°

    Answer: 119.4cm²
  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: 54, 57, 57, 100, 35, 27, 26

    Answer: Mean = 50.9, Median = 54, Range = 74

Friday 27 April 2018

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 = 24cm, b = 14cm, angle = 52°

    Answer: 132.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 39, 60, 99, 82, 91, 22, 22, 97

    Answer: Mean = 64, Median = 82, Range = 77