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Capstone May 7 - 13 25 questions
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Monday 7 May 2018

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 = 15cm, b = 18cm, angle = 75°

    Answer: 130.4cm²
  4. 4. Ratio

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

    Answer: 4:6:9
  5. 5. Statistics

    Find the mean, median and range of: 67, 90, 68, 64, 57, 37, 95, 52, 67

    Answer: Mean = 66.3, Median = 67, Range = 58

Tuesday 8 May 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 12cm, b = 16cm, angle = 64°

    Answer: 86.3cm²
  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: 36, 71, 66, 69, 57, 63, 38

    Answer: Mean = 57.1, Median = 63, Range = 35

Wednesday 9 May 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√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 = 22cm, b = 30cm, angle = 71°

    Answer: 312cm²
  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: 30, 17, 69, 73, 32, 25, 45, 60, 38

    Answer: Mean = 43.2, Median = 38, Range = 56

Thursday 10 May 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 2.8x

    Answer: (x + 1.4)² - 1.96
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 20cm, angle = 48°

    Answer: 170.9cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 1:2. Find a:b:c.

    Answer: 2:3:6
  5. 5. Statistics

    Find the mean, median and range of: 38, 58, 10, 41, 64, 58, 43, 43

    Answer: Mean = 44.4, Median = 43, Range = 54

Friday 11 May 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 5.8x

    Answer: (x + 2.9)² - 8.41
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 19cm, angle = 72°

    Answer: 216.8cm²
  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: 85, 62, 47, 81, 12, 100, 99, 53, 66

    Answer: Mean = 67.2, Median = 66, Range = 88