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Capstone Jul 13 - 19 25 questions
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Monday 13 July 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√40

    Answer: 6√10
  2. 2. Algebra

    Complete the square: 3x² - 6x - 4

    Answer: 3(x - 1)² - 7
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 18cm, angle = 56°. Give your answer to 2 decimal places

    Answer: 171.61cm²
  4. 4. Ratio

    a:b is 5:6 and b:c is 4:9. Find a:b:c in its simplest form.

    Answer: 10:12:27
  5. 5. Statistics

    Find the mean, median and range of: 78, 77, 74, 65, 56, 69, 69, 92, 22. Give your answer to 2 decimal places

    Answer: Mean = 66.89, Median = 69, Range = 70

Tuesday 14 July 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√125

    Answer: 10√5
  2. 2. Algebra

    Complete the square: x² - 3x + 5

    Answer: (x - 3⁄2)² + 11⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 12cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 168.07cm²
  4. 4. Ratio

    a:b is 3:8 and b:c is 5:6. Find a:b:c in its simplest form.

    Answer: 15:40:48
  5. 5. Statistics

    Find the mean, median and range of: 56, 72, 61, 19, 100, 83, 100, 55, 53. Give your answer to 2 decimal places

    Answer: Mean = 66.56, Median = 61, Range = 81

Wednesday 15 July 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: 5x² + 20x - 2

    Answer: 5(x + 2)² - 22
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 26cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 156.58cm²
  4. 4. Ratio

    a:b is 2:5 and b:c is 9:7. Find a:b:c in its simplest form.

    Answer: 18:45:35
  5. 5. Statistics

    Find the mean, median and range of: 39, 65, 31, 27, 47, 62, 89, 84

    Answer: Mean = 55.5, Median = 54.5, Range = 62

Thursday 16 July 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √176

    Answer: 4√11
  2. 2. Algebra

    Complete the square: 2x² + 4x + 13

    Answer: 2(x + 1)² + 11
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 13cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 123.67cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 42:35:30
  5. 5. Statistics

    Find the mean, median and range of: 64, 39, 46, 50, 18, 74, 61, 84

    Answer: Mean = 54.5, Median = 55.5, Range = 66

Friday 17 July 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√90

    Answer: 12√10
  2. 2. Algebra

    Complete the square: 4x² + 32x + 14

    Answer: 4(x + 4)² - 50
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 15cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 128.39cm²
  4. 4. Ratio

    a:b is 2:5 and b:c is 9:2. Find a:b:c in its simplest form.

    Answer: 18:45:10
  5. 5. Statistics

    Find the mean, median and range of: 76, 60, 49, 69, 11, 24, 99. Give your answer to 2 decimal places

    Answer: Mean = 55.43, Median = 60, Range = 88