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Capstone Jul 22 - 28 25 questions
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Monday 22 July 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 5.2x

    Answer: (x + 2.6)² - 6.76
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 23cm, angle = 47°

    Answer: 252.3cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 1:3. Find a:b:c.

    Answer: 3:4:12
  5. 5. Statistics

    Find the mean, median and range of: 35, 41, 59, 22, 95, 11, 10, 99, 65

    Answer: Mean = 48.6, Median = 41, Range = 89

Tuesday 23 July 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 24cm, b = 26cm, angle = 65°

    Answer: 282.8cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 60, 30, 67, 75, 18, 23, 44, 55

    Answer: Mean = 46.5, Median = 55, Range = 57

Wednesday 24 July 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 20cm, b = 27cm, angle = 76°

    Answer: 262cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 3:5. Find a:b:c.

    Answer: 6:12:20
  5. 5. Statistics

    Find the mean, median and range of: 38, 50, 73, 67, 48, 81, 67, 33

    Answer: Mean = 57.1, Median = 67, Range = 48

Thursday 25 July 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√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 = 25cm, b = 27cm, angle = 52°

    Answer: 266cm²
  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: 66, 21, 58, 14, 58, 74, 72, 67

    Answer: Mean = 53.8, Median = 66, Range = 60

Friday 26 July 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√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 = 28cm, b = 21cm, angle = 51°

    Answer: 228.5cm²
  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: 66, 86, 89, 47, 64, 45, 66, 28, 69

    Answer: Mean = 62.2, Median = 66, Range = 61