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Capstone Apr 17 - 23 25 questions
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Monday 17 April 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √864

    Answer: 12√6
  2. 2. Algebra

    Complete the square: 3x² + 12x - 12

    Answer: 3(x + 2)² - 24
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 23cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 232.37cm²
  4. 4. Ratio

    a:b is 1:6 and b:c is 8:9. Find a:b:c in its simplest form.

    Answer: 4:24:27
  5. 5. Statistics

    Find the mean, median and range of: 32, 47, 36, 65, 53, 67, 28. Give your answer to 2 decimal places

    Answer: Mean = 46.86, Median = 47, Range = 39

Tuesday 18 April 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √425

    Answer: 5√17
  2. 2. Algebra

    Complete the square: 5x² + 40x + 10

    Answer: 5(x + 4)² - 70
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 12cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 97.88cm²
  4. 4. Ratio

    a:b is 1:6 and b:c is 5:3. Find a:b:c in its simplest form.

    Answer: 5:30:18
  5. 5. Statistics

    Find the mean, median and range of: 11, 67, 64, 19, 87, 90, 10, 82, 97. Give your answer to 2 decimal places

    Answer: Mean = 58.56, Median = 67, Range = 87

Wednesday 19 April 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √832

    Answer: 8√13
  2. 2. Algebra

    Complete the square: x² - 11x

    Answer: (x - 11⁄2)² - 121⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 23cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 241.3cm²
  4. 4. Ratio

    a:b is 1:6 and b:c is 4:5. Find a:b:c in its simplest form.

    Answer: 2:12:15
  5. 5. Statistics

    Find the mean, median and range of: 29, 70, 76, 55, 13, 80, 44, 13, 77. Give your answer to 2 decimal places

    Answer: Mean = 50.78, Median = 55, Range = 67

Thursday 20 April 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √468

    Answer: 6√13
  2. 2. Algebra

    Complete the square: 2x² + 12x - 8

    Answer: 2(x + 3)² - 26
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 14cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 84.87cm²
  4. 4. Ratio

    a:b is 1:9 and b:c is 6:1. Find a:b:c in its simplest form.

    Answer: 2:18:3
  5. 5. Statistics

    Find the mean, median and range of: 94, 12, 74, 52, 19, 45, 77, 85

    Answer: Mean = 57.25, Median = 63, Range = 82

Friday 21 April 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √396

    Answer: 6√11
  2. 2. Algebra

    Complete the square: 5x² + 40x + 6

    Answer: 5(x + 4)² - 74
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 26cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 202.65cm²
  4. 4. Ratio

    a:b is 9:2 and b:c is 5:3. Find a:b:c in its simplest form.

    Answer: 45:10:6
  5. 5. Statistics

    Find the mean, median and range of: 20, 68, 62, 46, 40, 24, 97

    Answer: Mean = 51, Median = 46, Range = 77