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Capstone Jun 27 - Jul 3 25 questions
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Monday 27 June 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√275

    Answer: 10√11
  2. 2. Algebra

    Complete the square: 5x² + 40x + 5

    Answer: 5(x + 4)² - 75
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 20cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 189.cm²
  4. 4. Ratio

    a:b is 7:8 and b:c is 5:7. Find a:b:c in its simplest form.

    Answer: 35:40:56
  5. 5. Statistics

    Find the mean, median and range of: 35, 28, 70, 16, 35, 73, 33, 81. Give your answer to 2 decimal places

    Answer: Mean = 46.38, Median = 35, Range = 65

Tuesday 28 June 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² - x + 10

    Answer: (x - 1⁄2)² + 39⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 16cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 139.92cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 5:4. Find a:b:c in its simplest form.

    Answer: 15:10:8
  5. 5. Statistics

    Find the mean, median and range of: 47, 42, 16, 46, 28, 67, 32. Give your answer to 2 decimal places

    Answer: Mean = 39.71, Median = 42, Range = 51

Wednesday 29 June 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√112

    Answer: 12√7
  2. 2. Algebra

    Complete the square: 4x² - 8x - 5

    Answer: 4(x - 1)² - 9
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 15cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 85.31cm²
  4. 4. Ratio

    a:b is 4:7 and b:c is 5:8. Find a:b:c in its simplest form.

    Answer: 20:35:56
  5. 5. Statistics

    Find the mean, median and range of: 21, 100, 50, 95, 33, 95, 74. Give your answer to 2 decimal places

    Answer: Mean = 66.86, Median = 74, Range = 79

Thursday 30 June 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √224

    Answer: 4√14
  2. 2. Algebra

    Complete the square: x² - 3x + 6

    Answer: (x - 3⁄2)² + 15⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 27cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 251.87cm²
  4. 4. Ratio

    a:b is 7:9 and b:c is 6:5. Find a:b:c in its simplest form.

    Answer: 14:18:15
  5. 5. Statistics

    Find the mean, median and range of: 16, 37, 66, 45, 29, 58, 16, 64. Give your answer to 2 decimal places

    Answer: Mean = 41.38, Median = 41, Range = 50

Friday 1 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√75

    Answer: 25√3
  2. 2. Algebra

    Complete the square: x² + 5x - 9

    Answer: (x + 5⁄2)² - 61⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 16cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 226.93cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 11, 76, 40, 91, 90, 11, 42. Give your answer to 2 decimal places

    Answer: Mean = 51.57, Median = 42, Range = 80