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Capstone May 11 - 17 25 questions
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Monday 11 May 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √336

    Answer: 4√21
  2. 2. Algebra

    Complete the square: x² - x - 7

    Answer: (x - 1⁄2)² - 29⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 25cm, angle = 46°. Give your answer to 2 decimal places

    Answer: 134.88cm²
  4. 4. Ratio

    a:b is 7:2 and b:c is 5:9. Find a:b:c in its simplest form.

    Answer: 35:10:18
  5. 5. Statistics

    Find the mean, median and range of: 63, 92, 31, 73, 44, 31, 77, 81

    Answer: Mean = 61.5, Median = 68, Range = 61

Tuesday 12 May 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √567

    Answer: 9√7
  2. 2. Algebra

    Complete the square: 5x² + 10x - 7

    Answer: 5(x + 1)² - 12
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 19cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 120.85cm²
  4. 4. Ratio

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

    Answer: 63:56:72
  5. 5. Statistics

    Find the mean, median and range of: 27, 10, 39, 67, 91, 80, 67, 43

    Answer: Mean = 53, Median = 55, Range = 81

Wednesday 13 May 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √240

    Answer: 4√15
  2. 2. Algebra

    Complete the square: x² + 9x + 4

    Answer: (x + 9⁄2)² - 65⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 19cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 130.29cm²
  4. 4. Ratio

    a:b is 5:2 and b:c is 9:7. Find a:b:c in its simplest form.

    Answer: 45:18:14
  5. 5. Statistics

    Find the mean, median and range of: 79, 48, 46, 41, 11, 57, 94, 64

    Answer: Mean = 55, Median = 52.5, Range = 83

Thursday 14 May 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √540

    Answer: 6√15
  2. 2. Algebra

    Complete the square: 4x² + 8x + 6

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

    Find area of triangle: a = 13cm, b = 12cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 58.87cm²
  4. 4. Ratio

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

    Answer: 35:40:56
  5. 5. Statistics

    Find the mean, median and range of: 33, 92, 79, 11, 84, 46, 68, 29, 75. Give your answer to 2 decimal places

    Answer: Mean = 57.44, Median = 68, Range = 81

Friday 15 May 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: 5x² + 40x - 8

    Answer: 5(x + 4)² - 88
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 13cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 69.22cm²
  4. 4. Ratio

    a:b is 7:6 and b:c is 5:8. Find a:b:c in its simplest form.

    Answer: 35:30:48
  5. 5. Statistics

    Find the mean, median and range of: 63, 84, 74, 42, 88, 10, 39. Give your answer to 2 decimal places

    Answer: Mean = 57.14, Median = 63, Range = 78