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Capstone Jan 28 - Feb 3 25 questions
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Monday 28 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√63

    Answer: 6√7
  2. 2. Algebra

    Complete the square: x² - 7x - 4

    Answer: (x - 7⁄2)² - 65⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 30cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 197.47cm²
  4. 4. Ratio

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

    Answer: 25:45:9
  5. 5. Statistics

    Find the mean, median and range of: 67, 28, 76, 48, 94, 82, 16, 52, 63. Give your answer to 2 decimal places

    Answer: Mean = 58.44, Median = 63, Range = 78

Tuesday 29 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √931

    Answer: 7√19
  2. 2. Algebra

    Complete the square: 3x² + 30x + 1

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

    Find area of triangle: a = 25cm, b = 26cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 305.4cm²
  4. 4. Ratio

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

    Answer: 9:24:64
  5. 5. Statistics

    Find the mean, median and range of: 23, 70, 73, 56, 61, 51, 97, 26. Give your answer to 2 decimal places

    Answer: Mean = 57.13, Median = 58.5, Range = 74

Wednesday 30 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √240

    Answer: 4√15
  2. 2. Algebra

    Complete the square: x² + 7x - 3

    Answer: (x + 7⁄2)² - 61⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 20cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 183.69cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 5:7. Find a:b:c in its simplest form.

    Answer: 10:15:21
  5. 5. Statistics

    Find the mean, median and range of: 16, 66, 38, 77, 26, 95, 54, 76, 66. Give your answer to 2 decimal places

    Answer: Mean = 57.11, Median = 66, Range = 79

Thursday 31 January 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√18

    Answer: 9√2
  2. 2. Algebra

    Complete the square: 4x² - 24x + 4

    Answer: 4(x - 3)² - 32
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 12cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 106.36cm²
  4. 4. Ratio

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

    Answer: 42:35:20
  5. 5. Statistics

    Find the mean, median and range of: 55, 66, 32, 32, 85, 85, 55, 52

    Answer: Mean = 57.75, Median = 55, Range = 53

Friday 1 February 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√125

    Answer: 25√5
  2. 2. Algebra

    Complete the square: x² + 3x - 10

    Answer: (x + 3⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 16cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 115cm²
  4. 4. Ratio

    a:b is 8:7 and b:c is 5:4. Find a:b:c in its simplest form.

    Answer: 40:35:28
  5. 5. Statistics

    Find the mean, median and range of: 77, 48, 73, 70, 38, 91, 86, 23, 19. Give your answer to 2 decimal places

    Answer: Mean = 58.33, Median = 70, Range = 72