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Capstone Jul 22 - 28 25 questions
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Monday 22 July 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √250

    Answer: 5√10
  2. 2. Algebra

    Complete the square: 3x² - 30x + 3

    Answer: 3(x - 5)² - 72
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 19cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 128.98cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 2:5. Find a:b:c in its simplest form.

    Answer: 4:6:15
  5. 5. Statistics

    Find the mean, median and range of: 98, 80, 17, 57, 77, 79, 60, 18

    Answer: Mean = 60.75, Median = 68.5, Range = 81

Tuesday 23 July 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√112

    Answer: 16√7
  2. 2. Algebra

    Complete the square: x² + 9x - 8

    Answer: (x + 9⁄2)² - 113⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 21cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 237.91cm²
  4. 4. Ratio

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

    Answer: 49:42:54
  5. 5. Statistics

    Find the mean, median and range of: 25, 71, 20, 81, 45, 28, 70, 76

    Answer: Mean = 52, Median = 57.5, Range = 61

Wednesday 24 July 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √180

    Answer: 6√5
  2. 2. Algebra

    Complete the square: x² + 3x - 6

    Answer: (x + 3⁄2)² - 33⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 30cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 186.52cm²
  4. 4. Ratio

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

    Answer: 21:15:20
  5. 5. Statistics

    Find the mean, median and range of: 73, 13, 18, 61, 68, 40, 43. Give your answer to 2 decimal places

    Answer: Mean = 45.14, Median = 43, Range = 60

Thursday 25 July 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √735

    Answer: 7√15
  2. 2. Algebra

    Complete the square: x² - x + 12

    Answer: (x - 1⁄2)² + 47⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 17cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 194.13cm²
  4. 4. Ratio

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

    Answer: 5:15:9
  5. 5. Statistics

    Find the mean, median and range of: 65, 94, 25, 90, 26, 34, 17. Give your answer to 2 decimal places

    Answer: Mean = 50.14, Median = 34, Range = 77

Friday 26 July 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √350

    Answer: 5√14
  2. 2. Algebra

    Complete the square: x² + 5x + 2

    Answer: (x + 5⁄2)² - 17⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 20cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 115.35cm²
  4. 4. Ratio

    a:b is 5:8 and b:c is 7:2. Find a:b:c in its simplest form.

    Answer: 35:56:16
  5. 5. Statistics

    Find the mean, median and range of: 46, 13, 51, 35, 100, 100, 52, 30, 19. Give your answer to 2 decimal places

    Answer: Mean = 49.56, Median = 46, Range = 87