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Capstone Oct 14 - 20 25 questions
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Monday 14 October 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √640

    Answer: 8√10
  2. 2. Algebra

    Complete the square: 2x² + 12x - 2

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

    Find area of triangle: a = 29cm, b = 18cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 221.34cm²
  4. 4. Ratio

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

    Answer: 49:14:18
  5. 5. Statistics

    Find the mean, median and range of: 18, 32, 88, 41, 47, 21, 56. Give your answer to 2 decimal places

    Answer: Mean = 43.29, Median = 41, Range = 70

Tuesday 15 October 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √792

    Answer: 6√22
  2. 2. Algebra

    Complete the square: x² + 5x + 10

    Answer: (x + 5⁄2)² + 15⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 13cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 162.45cm²
  4. 4. Ratio

    a:b is 7:4 and b:c is 3:5. Find a:b:c in its simplest form.

    Answer: 21:12:20
  5. 5. Statistics

    Find the mean, median and range of: 64, 68, 61, 57, 25, 17, 87, 76. Give your answer to 2 decimal places

    Answer: Mean = 56.88, Median = 62.5, Range = 70

Wednesday 16 October 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√96

    Answer: 16√6
  2. 2. Algebra

    Complete the square: x² - 7x + 2

    Answer: (x - 7⁄2)² - 41⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 24cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 156.84cm²
  4. 4. Ratio

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

    Answer: 45:36:20
  5. 5. Statistics

    Find the mean, median and range of: 86, 39, 15, 11, 97, 59, 28, 41, 15. Give your answer to 2 decimal places

    Answer: Mean = 43.44, Median = 39, Range = 86

Thursday 17 October 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √245

    Answer: 7√5
  2. 2. Algebra

    Complete the square: 4x² + 16x + 12

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

    Find area of triangle: a = 19cm, b = 21cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 169.19cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 2:1. Find a:b:c in its simplest form.

    Answer: 4:6:3
  5. 5. Statistics

    Find the mean, median and range of: 24, 69, 100, 24, 96, 42, 68, 14, 86. Give your answer to 2 decimal places

    Answer: Mean = 58.11, Median = 68, Range = 86

Friday 18 October 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: 2x² - 4x - 3

    Answer: 2(x - 1)² - 5
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 25cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 273.32cm²
  4. 4. Ratio

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

    Answer: 49:35:40
  5. 5. Statistics

    Find the mean, median and range of: 93, 42, 73, 89, 20, 17, 93, 46. Give your answer to 2 decimal places

    Answer: Mean = 59.13, Median = 59.5, Range = 76