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Capstone Aug 24 - 30 25 questions
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Monday 24 August 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √96

    Answer: 4√6
  2. 2. Algebra

    Complete the square: x² + 9x - 10

    Answer: (x + 9⁄2)² - 121⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 29cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 133.29cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 3:4. Find a:b:c in its simplest form.

    Answer: 18:21:28
  5. 5. Statistics

    Find the mean, median and range of: 25, 47, 38, 97, 80, 69, 41, 81, 74. Give your answer to 2 decimal places

    Answer: Mean = 61.33, Median = 69, Range = 72

Tuesday 25 August 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √490

    Answer: 7√10
  2. 2. Algebra

    Complete the square: x² - 7x - 6

    Answer: (x - 7⁄2)² - 73⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 24cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 187.78cm²
  4. 4. Ratio

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

    Answer: 15:40:16
  5. 5. Statistics

    Find the mean, median and range of: 46, 18, 36, 13, 48, 27, 40. Give your answer to 2 decimal places

    Answer: Mean = 32.57, Median = 36, Range = 35

Wednesday 26 August 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √336

    Answer: 4√21
  2. 2. Algebra

    Complete the square: x² - 7x - 11

    Answer: (x - 7⁄2)² - 93⁄4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 21cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 215.68cm²
  4. 4. Ratio

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

    Answer: 16:10:15
  5. 5. Statistics

    Find the mean, median and range of: 86, 20, 38, 74, 93, 67, 83, 48, 32. Give your answer to 2 decimal places

    Answer: Mean = 60.11, Median = 67, Range = 73

Thursday 27 August 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √252

    Answer: 6√7
  2. 2. Algebra

    Complete the square: x² + x - 12

    Answer: (x + 1⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 22cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 132.83cm²
  4. 4. Ratio

    a:b is 1:9 and b:c is 7:3. Find a:b:c in its simplest form.

    Answer: 7:63:27
  5. 5. Statistics

    Find the mean, median and range of: 96, 47, 55, 67, 88, 18, 30. Give your answer to 2 decimal places

    Answer: Mean = 57.29, Median = 55, Range = 78

Friday 28 August 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √686

    Answer: 7√14
  2. 2. Algebra

    Complete the square: x² + 7x

    Answer: (x + 7⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 28cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 178.02cm²
  4. 4. Ratio

    a:b is 5:8 and b:c is 3:1. Find a:b:c in its simplest form.

    Answer: 15:24:8
  5. 5. Statistics

    Find the mean, median and range of: 45, 47, 49, 32, 46, 96, 40, 47

    Answer: Mean = 50.25, Median = 46.5, Range = 64