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Capstone Jun 20 - 26 25 questions
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Monday 20 June 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √240

    Answer: 4√15
  2. 2. Algebra

    Complete the square: 4x² + 48x - 14

    Answer: 4(x + 6)² - 158
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 17cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 194.02cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 13, 74, 30, 30, 95, 20, 45, 32, 74. Give your answer to 2 decimal places

    Answer: Mean = 45.89, Median = 32, Range = 82

Tuesday 21 June 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√45

    Answer: 6√5
  2. 2. Algebra

    Complete the square: x² + 5x + 4

    Answer: (x + 5⁄2)² - 9⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 21cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 197.83cm²
  4. 4. Ratio

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

    Answer: 6:10:15
  5. 5. Statistics

    Find the mean, median and range of: 13, 82, 80, 43, 62, 80, 85, 26, 76. Give your answer to 2 decimal places

    Answer: Mean = 60.78, Median = 76, Range = 72

Wednesday 22 June 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√63

    Answer: 12√7
  2. 2. Algebra

    Complete the square: x² - 11x

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

    Find area of triangle: a = 24cm, b = 15cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 168.04cm²
  4. 4. Ratio

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

    Answer: 49:63:54
  5. 5. Statistics

    Find the mean, median and range of: 62, 77, 33, 81, 59, 63, 28, 67

    Answer: Mean = 58.75, Median = 62.5, Range = 53

Thursday 23 June 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √847

    Answer: 11√7
  2. 2. Algebra

    Complete the square: x² - 5x

    Answer: (x - 5⁄2)² - 25⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 15cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 71.61cm²
  4. 4. Ratio

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

    Answer: 14:21:9
  5. 5. Statistics

    Find the mean, median and range of: 58, 57, 89, 29, 62, 13, 71, 87

    Answer: Mean = 58.25, Median = 60, Range = 76

Friday 24 June 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √32

    Answer: 4√2
  2. 2. Algebra

    Complete the square: 5x² + 20x - 15

    Answer: 5(x + 2)² - 35
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 29cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 302.18cm²
  4. 4. Ratio

    a:b is 5:6 and b:c is 4:3. Find a:b:c in its simplest form.

    Answer: 10:12:9
  5. 5. Statistics

    Find the mean, median and range of: 50, 99, 44, 65, 86, 68, 11. Give your answer to 2 decimal places

    Answer: Mean = 60.43, Median = 65, Range = 88