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Capstone Nov 12 - 18 25 questions
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Monday 12 November 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√40

    Answer: 8√10
  2. 2. Algebra

    Complete the square: x² + 11x - 10

    Answer: (x + 11⁄2)² - 161⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 24cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 280.07cm²
  4. 4. Ratio

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

    Answer: 81:18:4
  5. 5. Statistics

    Find the mean, median and range of: 90, 63, 70, 92, 47, 64, 57, 81

    Answer: Mean = 70.5, Median = 67, Range = 45

Tuesday 13 November 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √1000

    Answer: 10√10
  2. 2. Algebra

    Complete the square: 3x² + 24x + 7

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

    Find area of triangle: a = 22cm, b = 25cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 266.83cm²
  4. 4. Ratio

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

    Answer: 24:42:35
  5. 5. Statistics

    Find the mean, median and range of: 58, 64, 60, 36, 96, 73, 39. Give your answer to 2 decimal places

    Answer: Mean = 60.86, Median = 60, Range = 60

Wednesday 14 November 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √72

    Answer: 6√2
  2. 2. Algebra

    Complete the square: 3x² + 30x + 8

    Answer: 3(x + 5)² - 67
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 26cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 235.64cm²
  4. 4. Ratio

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

    Answer: 6:21:14
  5. 5. Statistics

    Find the mean, median and range of: 27, 78, 30, 95, 11, 78, 14, 22. Give your answer to 2 decimal places

    Answer: Mean = 44.38, Median = 28.5, Range = 84

Thursday 15 November 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 11x - 3

    Answer: (x + 11⁄2)² - 133⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 23cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 159.94cm²
  4. 4. Ratio

    a:b is 5:4 and b:c is 9:2. Find a:b:c in its simplest form.

    Answer: 45:36:8
  5. 5. Statistics

    Find the mean, median and range of: 63, 72, 59, 60, 85, 84, 91. Give your answer to 2 decimal places

    Answer: Mean = 73.43, Median = 72, Range = 32

Friday 16 November 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √720

    Answer: 12√5
  2. 2. Algebra

    Complete the square: 3x² - 36x - 15

    Answer: 3(x - 6)² - 123
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 16cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 98.89cm²
  4. 4. Ratio

    a:b is 7:9 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 35:45:18
  5. 5. Statistics

    Find the mean, median and range of: 43, 91, 35, 22, 84, 65, 12, 41, 20. Give your answer to 2 decimal places

    Answer: Mean = 45.89, Median = 41, Range = 79