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Capstone Jun 3 - 9 25 questions
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Monday 3 June 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √48

    Answer: 4√3
  2. 2. Algebra

    Complete the square: x² + 7x + 1

    Answer: (x + 7⁄2)² - 45⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 20cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 242.73cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 7:4. Find a:b:c in its simplest form.

    Answer: 7:28:16
  5. 5. Statistics

    Find the mean, median and range of: 43, 11, 80, 93, 60, 92, 28, 46, 28. Give your answer to 2 decimal places

    Answer: Mean = 53.44, Median = 46, Range = 82

Tuesday 4 June 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √405

    Answer: 9√5
  2. 2. Algebra

    Complete the square: 2x² - 4x - 10

    Answer: 2(x - 1)² - 12
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 17cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 166.64cm²
  4. 4. Ratio

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

    Answer: 14:18:3
  5. 5. Statistics

    Find the mean, median and range of: 10, 63, 57, 26, 46, 15, 79. Give your answer to 2 decimal places

    Answer: Mean = 42.29, Median = 46, Range = 69

Wednesday 5 June 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√12

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² - 9x - 6

    Answer: (x - 9⁄2)² - 105⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 23cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 176.99cm²
  4. 4. Ratio

    a:b is 2:7 and b:c is 5:1. Find a:b:c in its simplest form.

    Answer: 10:35:7
  5. 5. Statistics

    Find the mean, median and range of: 10, 73, 96, 63, 63, 73, 83, 23

    Answer: Mean = 60.5, Median = 68, Range = 86

Thursday 6 June 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √931

    Answer: 7√19
  2. 2. Algebra

    Complete the square: x² + 3x - 11

    Answer: (x + 3⁄2)² - 53⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 28cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 116.99cm²
  4. 4. Ratio

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

    Answer: 32:56:35
  5. 5. Statistics

    Find the mean, median and range of: 11, 74, 68, 35, 65, 11, 64. Give your answer to 2 decimal places

    Answer: Mean = 46.86, Median = 64, Range = 63

Friday 7 June 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² - 11x + 3

    Answer: (x - 11⁄2)² - 109⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 15cm, angle = 54°. Give your answer to 2 decimal places

    Answer: 182.03cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 98, 71, 100, 66, 89, 87, 66. Give your answer to 2 decimal places

    Answer: Mean = 82.43, Median = 87, Range = 34