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Capstone Nov 14 - 20 25 questions
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Monday 14 November 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √294

    Answer: 7√6
  2. 2. Algebra

    Complete the square: x² - 9x - 4

    Answer: (x - 9⁄2)² - 97⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 16cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 219.25cm²
  4. 4. Ratio

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

    Answer: 35:63:81
  5. 5. Statistics

    Find the mean, median and range of: 51, 83, 37, 19, 82, 73, 24, 46, 77. Give your answer to 2 decimal places

    Answer: Mean = 54.67, Median = 51, Range = 64

Tuesday 15 November 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √550

    Answer: 5√22
  2. 2. Algebra

    Complete the square: 5x² - 40x + 7

    Answer: 5(x - 4)² - 73
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 19cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 260.19cm²
  4. 4. Ratio

    a:b is 2:7 and b:c is 4:3. Find a:b:c in its simplest form.

    Answer: 8:28:21
  5. 5. Statistics

    Find the mean, median and range of: 60, 45, 91, 52, 49, 20, 71, 17, 74. Give your answer to 2 decimal places

    Answer: Mean = 53.22, Median = 52, Range = 74

Wednesday 16 November 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² - 9x + 6

    Answer: (x - 9⁄2)² - 57⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 27cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 269.54cm²
  4. 4. Ratio

    a:b is 5:4 and b:c is 6:7. Find a:b:c in its simplest form.

    Answer: 15:12:14
  5. 5. Statistics

    Find the mean, median and range of: 65, 97, 62, 74, 74, 90, 93, 14. Give your answer to 2 decimal places

    Answer: Mean = 71.13, Median = 74, Range = 83

Thursday 17 November 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √567

    Answer: 9√7
  2. 2. Algebra

    Complete the square: 4x² - 24x + 8

    Answer: 4(x - 3)² - 28
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 17cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 236.43cm²
  4. 4. Ratio

    a:b is 9:7 and b:c is 8:3. Find a:b:c in its simplest form.

    Answer: 72:56:21
  5. 5. Statistics

    Find the mean, median and range of: 21, 32, 62, 23, 54, 84, 89. Give your answer to 2 decimal places

    Answer: Mean = 52.14, Median = 54, Range = 68

Friday 18 November 2011

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √50

    Answer: 5√2
  2. 2. Algebra

    Complete the square: 2x² - 8x - 12

    Answer: 2(x - 2)² - 20
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 30cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 264.88cm²
  4. 4. Ratio

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

    Answer: 49:42:48
  5. 5. Statistics

    Find the mean, median and range of: 13, 13, 95, 88, 90, 36, 99, 77, 31. Give your answer to 2 decimal places

    Answer: Mean = 60.22, Median = 77, Range = 86