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Capstone Feb 26 - Mar 4 25 questions
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Monday 26 February 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √300

    Answer: 10√3
  2. 2. Algebra

    Complete the square: 2x² - 8x + 5

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

    Find area of triangle: a = 30cm, b = 26cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 265.98cm²
  4. 4. Ratio

    a:b is 8:5 and b:c is 3:2. Find a:b:c in its simplest form.

    Answer: 24:15:10
  5. 5. Statistics

    Find the mean, median and range of: 78, 60, 33, 53, 92, 25, 15. Give your answer to 2 decimal places

    Answer: Mean = 50.86, Median = 53, Range = 77

Tuesday 27 February 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √896

    Answer: 8√14
  2. 2. Algebra

    Complete the square: x² + x + 12

    Answer: (x + 1⁄2)² + 47⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 18cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 113.22cm²
  4. 4. Ratio

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

    Answer: 9:6:10
  5. 5. Statistics

    Find the mean, median and range of: 68, 74, 45, 16, 20, 38, 40, 28. Give your answer to 2 decimal places

    Answer: Mean = 41.13, Median = 39, Range = 58

Wednesday 28 February 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√18

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 11x

    Answer: (x + 11⁄2)² - 121⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 24cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 105.31cm²
  4. 4. Ratio

    a:b is 5:2 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 45:18:8
  5. 5. Statistics

    Find the mean, median and range of: 31, 25, 24, 74, 79, 11, 70. Give your answer to 2 decimal places

    Answer: Mean = 44.86, Median = 31, Range = 68

Thursday 1 March 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √567

    Answer: 9√7
  2. 2. Algebra

    Complete the square: x² - 3x - 2

    Answer: (x - 3⁄2)² - 17⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 30cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 262.39cm²
  4. 4. Ratio

    a:b is 8:5 and b:c is 4:9. Find a:b:c in its simplest form.

    Answer: 32:20:45
  5. 5. Statistics

    Find the mean, median and range of: 91, 29, 60, 22, 25, 42, 15, 65. Give your answer to 2 decimal places

    Answer: Mean = 43.63, Median = 35.5, Range = 76

Friday 2 March 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√75

    Answer: 10√3
  2. 2. Algebra

    Complete the square: 5x² - 50x - 3

    Answer: 5(x - 5)² - 128
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 30cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 196.6cm²
  4. 4. Ratio

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

    Answer: 48:30:25
  5. 5. Statistics

    Find the mean, median and range of: 39, 91, 48, 84, 30, 40, 38. Give your answer to 2 decimal places

    Answer: Mean = 52.86, Median = 40, Range = 61