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Capstone Jul 4 - 10 25 questions
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Monday 4 July 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √150

    Answer: 5√6
  2. 2. Algebra

    Complete the square: 4x² - 8x + 6

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

    Find area of triangle: a = 26cm, b = 19cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 197.26cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 9:8. Find a:b:c in its simplest form.

    Answer: 9:36:32
  5. 5. Statistics

    Find the mean, median and range of: 44, 36, 74, 20, 16, 46, 37

    Answer: Mean = 39, Median = 37, Range = 58

Tuesday 5 July 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√44

    Answer: 6√11
  2. 2. Algebra

    Complete the square: x² - 9x

    Answer: (x - 9⁄2)² - 81⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 18cm, angle = 56°. Give your answer to 2 decimal places

    Answer: 164.15cm²
  4. 4. Ratio

    a:b is 5:9 and b:c is 7:1. Find a:b:c in its simplest form.

    Answer: 35:63:9
  5. 5. Statistics

    Find the mean, median and range of: 27, 32, 16, 25, 26, 66, 74

    Answer: Mean = 38, Median = 27, Range = 58

Wednesday 6 July 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √48

    Answer: 4√3
  2. 2. Algebra

    Complete the square: x² - 5x - 4

    Answer: (x - 5⁄2)² - 41⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 30cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 164.55cm²
  4. 4. Ratio

    a:b is 4:7 and b:c is 5:9. Find a:b:c in its simplest form.

    Answer: 20:35:63
  5. 5. Statistics

    Find the mean, median and range of: 29, 82, 99, 83, 81, 84, 78, 55, 97. Give your answer to 2 decimal places

    Answer: Mean = 76.44, Median = 82, Range = 70

Thursday 7 July 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √735

    Answer: 7√15
  2. 2. Algebra

    Complete the square: 3x² + 18x + 14

    Answer: 3(x + 3)² - 13
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 20cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 153.01cm²
  4. 4. Ratio

    a:b is 9:4 and b:c is 7:9. Find a:b:c in its simplest form.

    Answer: 63:28:36
  5. 5. Statistics

    Find the mean, median and range of: 92, 69, 41, 44, 53, 64, 90, 77

    Answer: Mean = 66.25, Median = 66.5, Range = 51

Friday 8 July 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√160

    Answer: 16√10
  2. 2. Algebra

    Complete the square: 4x² - 24x + 9

    Answer: 4(x - 3)² - 27
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 19cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 189.74cm²
  4. 4. Ratio

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

    Answer: 15:24:20
  5. 5. Statistics

    Find the mean, median and range of: 91, 16, 21, 28, 12, 74, 42, 98, 44. Give your answer to 2 decimal places

    Answer: Mean = 47.33, Median = 42, Range = 86