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Capstone Apr 25 - May 1 25 questions
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Monday 25 April 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √300

    Answer: 10√3
  2. 2. Algebra

    Complete the square: 4x² + 48x - 13

    Answer: 4(x + 6)² - 157
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 30cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 278.77cm²
  4. 4. Ratio

    a:b is 5:3 and b:c is 8:5. Find a:b:c in its simplest form.

    Answer: 40:24:15
  5. 5. Statistics

    Find the mean, median and range of: 52, 20, 23, 63, 11, 80, 62, 83

    Answer: Mean = 49.25, Median = 57, Range = 72

Tuesday 26 April 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√27

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 11x + 6

    Answer: (x + 11⁄2)² - 97⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 26cm, angle = 56°. Give your answer to 2 decimal places

    Answer: 312.55cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 5:7. Find a:b:c in its simplest form.

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

    Find the mean, median and range of: 55, 88, 42, 93, 99, 54, 87, 30, 26. Give your answer to 2 decimal places

    Answer: Mean = 63.78, Median = 55, Range = 73

Wednesday 27 April 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √160

    Answer: 4√10
  2. 2. Algebra

    Complete the square: x² - x + 5

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

    Find area of triangle: a = 23cm, b = 26cm, angle = 46°. Give your answer to 2 decimal places

    Answer: 215.08cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 5:1. Find a:b:c in its simplest form.

    Answer: 10:15:3
  5. 5. Statistics

    Find the mean, median and range of: 83, 51, 72, 61, 90, 16, 69. Give your answer to 2 decimal places

    Answer: Mean = 63.14, Median = 69, Range = 74

Thursday 28 April 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: 4x² - 8x + 14

    Answer: 4(x - 1)² + 10
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 15cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 90.57cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 83, 88, 18, 90, 33, 10, 36, 86

    Answer: Mean = 55.5, Median = 59.5, Range = 80

Friday 29 April 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √343

    Answer: 7√7
  2. 2. Algebra

    Complete the square: x² + x + 8

    Answer: (x + 1⁄2)² + 31⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 12cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 153.17cm²
  4. 4. Ratio

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

    Answer: 27:6:10
  5. 5. Statistics

    Find the mean, median and range of: 19, 14, 93, 77, 98, 69, 53, 62, 32. Give your answer to 2 decimal places

    Answer: Mean = 57.44, Median = 62, Range = 84