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Capstone Jun 14 - 20 25 questions
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Monday 14 June 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √175

    Answer: 5√7
  2. 2. Algebra

    Complete the square: x² - 9x - 5

    Answer: (x - 9⁄2)² - 101⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 28cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 262.3cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 3:5. Find a:b:c in its simplest form.

    Answer: 3:12:20
  5. 5. Statistics

    Find the mean, median and range of: 65, 67, 31, 58, 62, 85, 20. Give your answer to 2 decimal places

    Answer: Mean = 55.43, Median = 62, Range = 65

Tuesday 15 June 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: 2x² - 20x - 3

    Answer: 2(x - 5)² - 53
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 25cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 144.89cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 42:35:40
  5. 5. Statistics

    Find the mean, median and range of: 69, 75, 22, 86, 64, 64, 95. Give your answer to 2 decimal places

    Answer: Mean = 67.86, Median = 69, Range = 73

Wednesday 16 June 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √350

    Answer: 5√14
  2. 2. Algebra

    Complete the square: 2x² - 4x + 6

    Answer: 2(x - 1)² + 4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 13cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 112.47cm²
  4. 4. Ratio

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

    Answer: 15:6:10
  5. 5. Statistics

    Find the mean, median and range of: 34, 28, 28, 50, 56, 62, 80, 19. Give your answer to 2 decimal places

    Answer: Mean = 44.63, Median = 42, Range = 61

Thursday 17 June 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: 4x² + 40x - 12

    Answer: 4(x + 5)² - 112
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 28cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 272.82cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 7:14:12
  5. 5. Statistics

    Find the mean, median and range of: 26, 44, 38, 82, 81, 27, 81, 98. Give your answer to 2 decimal places

    Answer: Mean = 59.63, Median = 62.5, Range = 72

Friday 18 June 2010

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√75

    Answer: 15√3
  2. 2. Algebra

    Complete the square: x² - 11x + 4

    Answer: (x - 11⁄2)² - 105⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 26cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 298.44cm²
  4. 4. Ratio

    a:b is 7:9 and b:c is 6:1. Find a:b:c in its simplest form.

    Answer: 14:18:3
  5. 5. Statistics

    Find the mean, median and range of: 75, 48, 11, 32, 77, 98, 94, 85

    Answer: Mean = 65, Median = 76, Range = 87