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Capstone Mar 3 - 9 25 questions
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Monday 3 March 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√90

    Answer: 9√10
  2. 2. Algebra

    Complete the square: x² + 9x - 2

    Answer: (x + 9⁄2)² - 89⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 23cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 156.87cm²
  4. 4. Ratio

    a:b is 3:8 and b:c is 9:1. Find a:b:c in its simplest form.

    Answer: 27:72:8
  5. 5. Statistics

    Find the mean, median and range of: 77, 96, 74, 82, 46, 26, 44, 84, 98. Give your answer to 2 decimal places

    Answer: Mean = 69.67, Median = 77, Range = 72

Tuesday 4 March 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √539

    Answer: 7√11
  2. 2. Algebra

    Complete the square: 3x² + 24x + 5

    Answer: 3(x + 4)² - 43
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 25cm, angle = 48°. Give your answer to 2 decimal places

    Answer: 167.21cm²
  4. 4. Ratio

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

    Answer: 25:40:64
  5. 5. Statistics

    Find the mean, median and range of: 35, 40, 80, 80, 61, 19, 16, 69, 29. Give your answer to 2 decimal places

    Answer: Mean = 47.67, Median = 40, Range = 64

Wednesday 5 March 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√99

    Answer: 12√11
  2. 2. Algebra

    Complete the square: x² + 3x - 8

    Answer: (x + 3⁄2)² - 41⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 16cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 94.26cm²
  4. 4. Ratio

    a:b is 5:8 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 45:72:32
  5. 5. Statistics

    Find the mean, median and range of: 52, 76, 59, 89, 65, 88, 36, 13

    Answer: Mean = 59.75, Median = 62, Range = 76

Thursday 6 March 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √425

    Answer: 5√17
  2. 2. Algebra

    Complete the square: 5x² - 50x + 9

    Answer: 5(x - 5)² - 116
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 17cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 188.83cm²
  4. 4. Ratio

    a:b is 3:7 and b:c is 8:3. Find a:b:c in its simplest form.

    Answer: 24:56:21
  5. 5. Statistics

    Find the mean, median and range of: 68, 69, 10, 36, 66, 90, 64, 30, 71

    Answer: Mean = 56, Median = 66, Range = 80

Friday 7 March 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√175

    Answer: 20√7
  2. 2. Algebra

    Complete the square: x² - 7x - 8

    Answer: (x - 7⁄2)² - 81⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 19cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 103.66cm²
  4. 4. Ratio

    a:b is 8:3 and b:c is 7:2. Find a:b:c in its simplest form.

    Answer: 56:21:6
  5. 5. Statistics

    Find the mean, median and range of: 21, 80, 61, 69, 99, 98, 80, 76, 34. Give your answer to 2 decimal places

    Answer: Mean = 68.67, Median = 76, Range = 78