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Capstone Oct 13 - 19 25 questions
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Monday 13 October 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + x + 3

    Answer: (x + 1⁄2)² + 11⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 27cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 369.99cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 5:3. Find a:b:c in its simplest form.

    Answer: 5:35:21
  5. 5. Statistics

    Find the mean, median and range of: 35, 79, 75, 31, 58, 35, 79, 17, 43. Give your answer to 2 decimal places

    Answer: Mean = 50.22, Median = 43, Range = 62

Tuesday 14 October 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: 4x² + 48x - 6

    Answer: 4(x + 6)² - 150
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 17cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 125.19cm²
  4. 4. Ratio

    a:b is 5:6 and b:c is 4:9. Find a:b:c in its simplest form.

    Answer: 10:12:27
  5. 5. Statistics

    Find the mean, median and range of: 95, 89, 68, 87, 29, 63, 91, 84

    Answer: Mean = 75.75, Median = 85.5, Range = 66

Wednesday 15 October 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √294

    Answer: 7√6
  2. 2. Algebra

    Complete the square: 4x² + 40x + 11

    Answer: 4(x + 5)² - 89
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 24cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 220.62cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 29, 43, 66, 21, 89, 91, 92, 64. Give your answer to 2 decimal places

    Answer: Mean = 61.88, Median = 65, Range = 71

Thursday 16 October 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √504

    Answer: 6√14
  2. 2. Algebra

    Complete the square: 3x² + 30x - 10

    Answer: 3(x + 5)² - 85
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 25cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 131.19cm²
  4. 4. Ratio

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

    Answer: 3:21:28
  5. 5. Statistics

    Find the mean, median and range of: 17, 18, 60, 79, 92, 83, 46, 74, 82. Give your answer to 2 decimal places

    Answer: Mean = 61.22, Median = 74, Range = 75

Friday 17 October 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √96

    Answer: 4√6
  2. 2. Algebra

    Complete the square: x² - 9x + 2

    Answer: (x - 9⁄2)² - 73⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 24cm, angle = 56°. Give your answer to 2 decimal places

    Answer: 119.38cm²
  4. 4. Ratio

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

    Answer: 12:20:25
  5. 5. Statistics

    Find the mean, median and range of: 28, 82, 41, 55, 20, 11, 56. Give your answer to 2 decimal places

    Answer: Mean = 41.86, Median = 41, Range = 71