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Capstone Sep 9 - 15 25 questions
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Monday 9 September 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √72

    Answer: 6√2
  2. 2. Algebra

    Complete the square: 5x² + 60x - 12

    Answer: 5(x + 6)² - 192
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 26cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 221.65cm²
  4. 4. Ratio

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

    Answer: 63:45:10
  5. 5. Statistics

    Find the mean, median and range of: 40, 61, 93, 57, 21, 33, 46, 95, 22

    Answer: Mean = 52, Median = 46, Range = 74

Tuesday 10 September 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √847

    Answer: 11√7
  2. 2. Algebra

    Complete the square: x² - 7x - 7

    Answer: (x - 7⁄2)² - 77⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 25cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 219.41cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 3:8. Find a:b:c in its simplest form.

    Answer: 3:15:40
  5. 5. Statistics

    Find the mean, median and range of: 15, 12, 22, 60, 93, 99, 27, 19. Give your answer to 2 decimal places

    Answer: Mean = 43.38, Median = 24.5, Range = 87

Wednesday 11 September 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √352

    Answer: 4√22
  2. 2. Algebra

    Complete the square: x² + 7x

    Answer: (x + 7⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 18cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 192.86cm²
  4. 4. Ratio

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

    Answer: 4:18:63
  5. 5. Statistics

    Find the mean, median and range of: 49, 89, 53, 63, 32, 92, 47, 14, 33. Give your answer to 2 decimal places

    Answer: Mean = 52.44, Median = 49, Range = 78

Thursday 12 September 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √567

    Answer: 9√7
  2. 2. Algebra

    Complete the square: x² - 3x + 1

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

    Find area of triangle: a = 18cm, b = 16cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 139.72cm²
  4. 4. Ratio

    a:b is 8:3 and b:c is 7:4. Find a:b:c in its simplest form.

    Answer: 56:21:12
  5. 5. Statistics

    Find the mean, median and range of: 98, 13, 30, 73, 92, 72, 85. Give your answer to 2 decimal places

    Answer: Mean = 66.14, Median = 73, Range = 85

Friday 13 September 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √208

    Answer: 4√13
  2. 2. Algebra

    Complete the square: 3x² - 36x - 8

    Answer: 3(x - 6)² - 116
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 29cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 348.46cm²
  4. 4. Ratio

    a:b is 7:4 and b:c is 3:1. Find a:b:c in its simplest form.

    Answer: 21:12:4
  5. 5. Statistics

    Find the mean, median and range of: 55, 16, 68, 78, 52, 55, 42, 82, 15. Give your answer to 2 decimal places

    Answer: Mean = 51.44, Median = 55, Range = 67