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Capstone Dec 8 - 14 25 questions
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Monday 8 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√99

    Answer: 12√11
  2. 2. Algebra

    Complete the square: x² - 3x - 1

    Answer: (x - 3⁄2)² - 13⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 28cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 272cm²
  4. 4. Ratio

    a:b is 8:7 and b:c is 5:1. Find a:b:c in its simplest form.

    Answer: 40:35:7
  5. 5. Statistics

    Find the mean, median and range of: 78, 33, 35, 61, 18, 68, 87, 54

    Answer: Mean = 54.25, Median = 57.5, Range = 69

Tuesday 9 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √160

    Answer: 4√10
  2. 2. Algebra

    Complete the square: x² + 7x + 9

    Answer: (x + 7⁄2)² - 13⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 16cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 169.18cm²
  4. 4. Ratio

    a:b is 9:2 and b:c is 5:6. Find a:b:c in its simplest form.

    Answer: 45:10:12
  5. 5. Statistics

    Find the mean, median and range of: 75, 43, 100, 57, 68, 10, 76, 94. Give your answer to 2 decimal places

    Answer: Mean = 65.38, Median = 71.5, Range = 90

Wednesday 10 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 9x - 10

    Answer: (x + 9⁄2)² - 121⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 28cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 358.11cm²
  4. 4. Ratio

    a:b is 7:4 and b:c is 7:2. Find a:b:c in its simplest form.

    Answer: 49:28:8
  5. 5. Statistics

    Find the mean, median and range of: 79, 74, 37, 51, 91, 78, 62, 62, 45. Give your answer to 2 decimal places

    Answer: Mean = 64.33, Median = 62, Range = 54

Thursday 11 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√40

    Answer: 4√10
  2. 2. Algebra

    Complete the square: 5x² - 50x + 14

    Answer: 5(x - 5)² - 111
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 21cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 246.57cm²
  4. 4. Ratio

    a:b is 5:9 and b:c is 8:7. Find a:b:c in its simplest form.

    Answer: 40:72:63
  5. 5. Statistics

    Find the mean, median and range of: 12, 38, 18, 72, 50, 77, 41

    Answer: Mean = 44, Median = 41, Range = 65

Friday 12 December 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √304

    Answer: 4√19
  2. 2. Algebra

    Complete the square: 3x² + 18x + 12

    Answer: 3(x + 3)² - 15
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 12cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 87.43cm²
  4. 4. Ratio

    a:b is 9:2 and b:c is 9:8. Find a:b:c in its simplest form.

    Answer: 81:18:16
  5. 5. Statistics

    Find the mean, median and range of: 98, 62, 93, 100, 59, 65, 67, 83, 25. Give your answer to 2 decimal places

    Answer: Mean = 72.44, Median = 67, Range = 75