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Capstone Nov 11 - 17 25 questions
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Monday 11 November 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √504

    Answer: 6√14
  2. 2. Algebra

    Complete the square: 3x² - 30x + 10

    Answer: 3(x - 5)² - 65
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 30cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 190.92cm²
  4. 4. Ratio

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

    Answer: 54:42:7
  5. 5. Statistics

    Find the mean, median and range of: 57, 47, 77, 25, 24, 16, 47, 33

    Answer: Mean = 40.75, Median = 40, Range = 61

Tuesday 12 November 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√75

    Answer: 15√3
  2. 2. Algebra

    Complete the square: 3x² + 6x + 7

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

    Find area of triangle: a = 20cm, b = 15cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 144.89cm²
  4. 4. Ratio

    a:b is 2:7 and b:c is 5:6. Find a:b:c in its simplest form.

    Answer: 10:35:42
  5. 5. Statistics

    Find the mean, median and range of: 83, 35, 11, 52, 31, 56, 13. Give your answer to 2 decimal places

    Answer: Mean = 40.14, Median = 35, Range = 72

Wednesday 13 November 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: 3x² - 6x - 8

    Answer: 3(x - 1)² - 11
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 25cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 268.99cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 2:9. Find a:b:c in its simplest form.

    Answer: 16:18:81
  5. 5. Statistics

    Find the mean, median and range of: 51, 57, 94, 38, 74, 69, 74. Give your answer to 2 decimal places

    Answer: Mean = 65.29, Median = 69, Range = 56

Thursday 14 November 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √704

    Answer: 8√11
  2. 2. Algebra

    Complete the square: 4x² + 8x - 5

    Answer: 4(x + 1)² - 9
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 16cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 168.09cm²
  4. 4. Ratio

    a:b is 1:9 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 7:63:72
  5. 5. Statistics

    Find the mean, median and range of: 81, 55, 41, 23, 42, 64, 50, 20

    Answer: Mean = 47, Median = 46, Range = 61

Friday 15 November 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√250

    Answer: 10√10
  2. 2. Algebra

    Complete the square: x² + 11x + 1

    Answer: (x + 11⁄2)² - 117⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 16cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 138.93cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 97, 28, 36, 92, 14, 31, 12, 82

    Answer: Mean = 49, Median = 33.5, Range = 85