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Capstone Jan 18 - 24 25 questions
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Monday 18 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √931

    Answer: 7√19
  2. 2. Algebra

    Complete the square: x² + 9x + 9

    Answer: (x + 9⁄2)² - 45⁄4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 24cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 243.41cm²
  4. 4. Ratio

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

    Answer: 20:28:49
  5. 5. Statistics

    Find the mean, median and range of: 42, 62, 56, 40, 36, 39, 16, 15, 63

    Answer: Mean = 41, Median = 40, Range = 48

Tuesday 19 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√12

    Answer: 4√3
  2. 2. Algebra

    Complete the square: x² - 3x - 3

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

    Find area of triangle: a = 19cm, b = 23cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 207.81cm²
  4. 4. Ratio

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

    Answer: 7:21:12
  5. 5. Statistics

    Find the mean, median and range of: 11, 40, 100, 64, 52, 83, 91

    Answer: Mean = 63, Median = 64, Range = 89

Wednesday 20 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√50

    Answer: 15√2
  2. 2. Algebra

    Complete the square: x² + 9x

    Answer: (x + 9⁄2)² - 81⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 12cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 123.23cm²
  4. 4. Ratio

    a:b is 7:8 and b:c is 6:1. Find a:b:c in its simplest form.

    Answer: 21:24:4
  5. 5. Statistics

    Find the mean, median and range of: 33, 82, 14, 92, 81, 42, 16. Give your answer to 2 decimal places

    Answer: Mean = 51.43, Median = 42, Range = 78

Thursday 21 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √847

    Answer: 11√7
  2. 2. Algebra

    Complete the square: x² + 9x - 6

    Answer: (x + 9⁄2)² - 105⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 14cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 174.64cm²
  4. 4. Ratio

    a:b is 1:9 and b:c is 7:9. Find a:b:c in its simplest form.

    Answer: 7:63:81
  5. 5. Statistics

    Find the mean, median and range of: 86, 26, 84, 40, 74, 81, 14. Give your answer to 2 decimal places

    Answer: Mean = 57.86, Median = 74, Range = 72

Friday 22 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√12

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² - 5x - 8

    Answer: (x - 5⁄2)² - 57⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 27cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 247.98cm²
  4. 4. Ratio

    a:b is 9:7 and b:c is 6:7. Find a:b:c in its simplest form.

    Answer: 54:42:49
  5. 5. Statistics

    Find the mean, median and range of: 84, 36, 85, 89, 83, 48, 69, 88, 61. Give your answer to 2 decimal places

    Answer: Mean = 71.44, Median = 83, Range = 53