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Capstone Jul 18 - 24 25 questions
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Monday 18 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √350

    Answer: 5√14
  2. 2. Algebra

    Complete the square: 3x² + 12x - 14

    Answer: 3(x + 2)² - 26
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 25cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 246.67cm²
  4. 4. Ratio

    a:b is 9:7 and b:c is 2:3. Find a:b:c in its simplest form.

    Answer: 18:14:21
  5. 5. Statistics

    Find the mean, median and range of: 12, 98, 64, 61, 86, 22, 61. Give your answer to 2 decimal places

    Answer: Mean = 57.71, Median = 61, Range = 86

Tuesday 19 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √48

    Answer: 4√3
  2. 2. Algebra

    Complete the square: x² + 5x + 6

    Answer: (x + 5⁄2)² - 1⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 23cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 117.64cm²
  4. 4. Ratio

    a:b is 3:5 and b:c is 7:2. Find a:b:c in its simplest form.

    Answer: 21:35:10
  5. 5. Statistics

    Find the mean, median and range of: 92, 69, 77, 19, 92, 33, 12, 23, 33

    Answer: Mean = 50, Median = 33, Range = 80

Wednesday 20 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√160

    Answer: 8√10
  2. 2. Algebra

    Complete the square: x² + 11x - 4

    Answer: (x + 11⁄2)² - 137⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 24cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 252.46cm²
  4. 4. Ratio

    a:b is 4:7 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 20:35:14
  5. 5. Statistics

    Find the mean, median and range of: 65, 15, 76, 88, 53, 89, 84. Give your answer to 2 decimal places

    Answer: Mean = 67.14, Median = 76, Range = 74

Thursday 21 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √448

    Answer: 8√7
  2. 2. Algebra

    Complete the square: x² - 5x + 6

    Answer: (x - 5⁄2)² - 1⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 13cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 77.87cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 3:4. Find a:b:c in its simplest form.

    Answer: 9:6:8
  5. 5. Statistics

    Find the mean, median and range of: 80, 60, 19, 62, 17, 83, 69, 35, 55. Give your answer to 2 decimal places

    Answer: Mean = 53.33, Median = 60, Range = 66

Friday 22 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√32

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² - 5x + 9

    Answer: (x - 5⁄2)² + 11⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 18cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 104.32cm²
  4. 4. Ratio

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

    Answer: 8:40:5
  5. 5. Statistics

    Find the mean, median and range of: 74, 12, 61, 83, 29, 26, 96, 72. Give your answer to 2 decimal places

    Answer: Mean = 56.63, Median = 66.5, Range = 84