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Capstone Jun 25 - Jul 1 25 questions
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Monday 25 June 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √304

    Answer: 4√19
  2. 2. Algebra

    Complete the square: 4x² - 24x - 12

    Answer: 4(x - 3)² - 48
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 14cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 133.18cm²
  4. 4. Ratio

    a:b is 1:8 and b:c is 7:3. Find a:b:c in its simplest form.

    Answer: 7:56:24
  5. 5. Statistics

    Find the mean, median and range of: 15, 93, 25, 46, 30, 46, 79, 61, 14. Give your answer to 2 decimal places

    Answer: Mean = 45.44, Median = 46, Range = 79

Tuesday 26 June 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √567

    Answer: 9√7
  2. 2. Algebra

    Complete the square: x² + 9x + 3

    Answer: (x + 9⁄2)² - 69⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 17cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 113.75cm²
  4. 4. Ratio

    a:b is 5:9 and b:c is 2:3. Find a:b:c in its simplest form.

    Answer: 10:18:27
  5. 5. Statistics

    Find the mean, median and range of: 57, 10, 17, 66, 51, 66, 21. Give your answer to 2 decimal places

    Answer: Mean = 41.14, Median = 51, Range = 56

Wednesday 27 June 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √486

    Answer: 9√6
  2. 2. Algebra

    Complete the square: 3x² + 18x + 2

    Answer: 3(x + 3)² - 25
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 29cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 348.01cm²
  4. 4. Ratio

    a:b is 7:6 and b:c is 8:1. Find a:b:c in its simplest form.

    Answer: 28:24:3
  5. 5. Statistics

    Find the mean, median and range of: 73, 68, 82, 88, 36, 55, 25, 74. Give your answer to 2 decimal places

    Answer: Mean = 62.63, Median = 70.5, Range = 63

Thursday 28 June 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√50

    Answer: 15√2
  2. 2. Algebra

    Complete the square: x² + x + 5

    Answer: (x + 1⁄2)² + 19⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 18cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 165.69cm²
  4. 4. Ratio

    a:b is 2:5 and b:c is 3:7. Find a:b:c in its simplest form.

    Answer: 6:15:35
  5. 5. Statistics

    Find the mean, median and range of: 53, 99, 36, 99, 92, 27, 49

    Answer: Mean = 65, Median = 53, Range = 72

Friday 29 June 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² - 7x - 4

    Answer: (x - 7⁄2)² - 65⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 15cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 142.69cm²
  4. 4. Ratio

    a:b is 7:3 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 49:21:18
  5. 5. Statistics

    Find the mean, median and range of: 48, 86, 51, 54, 82, 31, 93, 72, 40. Give your answer to 2 decimal places

    Answer: Mean = 61.89, Median = 54, Range = 62