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Capstone Aug 6 - 12 25 questions
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Monday 6 August 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 4.8x

    Answer: (x + 2.4)² - 5.76
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 23cm, angle = 47°

    Answer: 117.7cm²
  4. 4. Ratio

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

    Answer: 2:4:8
  5. 5. Statistics

    Find the mean, median and range of: 54, 39, 48, 68, 32, 31, 82, 76, 25

    Answer: Mean = 50.6, Median = 48, Range = 57

Tuesday 7 August 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 5.8x

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

    Find area of triangle: a = 21cm, b = 28cm, angle = 71°

    Answer: 278cm²
  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: 67, 32, 86, 10, 67, 16, 34, 40, 74

    Answer: Mean = 47.3, Median = 40, Range = 76

Wednesday 8 August 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 23cm, b = 21cm, angle = 71°

    Answer: 228.3cm²
  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: 74, 25, 26, 56, 12, 63, 69, 42, 44

    Answer: Mean = 45.7, Median = 44, Range = 62

Thursday 9 August 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 18cm, angle = 49°

    Answer: 135.8cm²
  4. 4. Ratio

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

    Answer: 4:6:18
  5. 5. Statistics

    Find the mean, median and range of: 16, 85, 34, 41, 35, 97, 50

    Answer: Mean = 51.1, Median = 41, Range = 81

Friday 10 August 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 = 18cm, b = 29cm, angle = 77°

    Answer: 254.3cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 4:3. Find a:b:c.

    Answer: 2:4:3
  5. 5. Statistics

    Find the mean, median and range of: 45, 30, 41, 75, 100, 73, 98, 65, 21

    Answer: Mean = 60.9, Median = 65, Range = 79