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Capstone Sep 1 - 7 25 questions
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Monday 1 September 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √304

    Answer: 4√19
  2. 2. Algebra

    Complete the square: 4x² - 40x + 9

    Answer: 4(x - 5)² - 91
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 18cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 107.82cm²
  4. 4. Ratio

    a:b is 7:4 and b:c is 5:6. Find a:b:c in its simplest form.

    Answer: 35:20:24
  5. 5. Statistics

    Find the mean, median and range of: 33, 89, 75, 93, 29, 50, 28. Give your answer to 2 decimal places

    Answer: Mean = 56.71, Median = 50, Range = 65

Tuesday 2 September 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√112

    Answer: 8√7
  2. 2. Algebra

    Complete the square: x² - 9x + 12

    Answer: (x - 9⁄2)² - 33⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 12cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 102.3cm²
  4. 4. Ratio

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

    Answer: 10:14:49
  5. 5. Statistics

    Find the mean, median and range of: 24, 19, 14, 21, 53, 45, 74. Give your answer to 2 decimal places

    Answer: Mean = 35.71, Median = 24, Range = 60

Wednesday 3 September 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √396

    Answer: 6√11
  2. 2. Algebra

    Complete the square: 3x² - 18x + 11

    Answer: 3(x - 3)² - 16
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 21cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 190.96cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 2:1. Find a:b:c in its simplest form.

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

    Find the mean, median and range of: 42, 92, 40, 15, 33, 41, 78, 42, 22

    Answer: Mean = 45, Median = 41, Range = 77

Thursday 4 September 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √375

    Answer: 5√15
  2. 2. Algebra

    Complete the square: x² + 5x + 1

    Answer: (x + 5⁄2)² - 21⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 23cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 117.75cm²
  4. 4. Ratio

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

    Answer: 6:15:10
  5. 5. Statistics

    Find the mean, median and range of: 54, 50, 40, 85, 17, 54, 26. Give your answer to 2 decimal places

    Answer: Mean = 46.57, Median = 50, Range = 68

Friday 5 September 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √224

    Answer: 4√14
  2. 2. Algebra

    Complete the square: 4x² + 16x + 12

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

    Find area of triangle: a = 21cm, b = 26cm, angle = 56°. Give your answer to 2 decimal places

    Answer: 226.33cm²
  4. 4. Ratio

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

    Answer: 15:20:12
  5. 5. Statistics

    Find the mean, median and range of: 36, 55, 15, 44, 16, 83, 87, 10, 96. Give your answer to 2 decimal places

    Answer: Mean = 49.11, Median = 44, Range = 86