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Capstone May 29 - Jun 4 25 questions
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Monday 29 May 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√90

    Answer: 6√10
  2. 2. Algebra

    Complete the square: x² - 9x + 8

    Answer: (x - 9⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 13cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 106.95cm²
  4. 4. Ratio

    a:b is 3:8 and b:c is 6:1. Find a:b:c in its simplest form.

    Answer: 9:24:4
  5. 5. Statistics

    Find the mean, median and range of: 69, 29, 67, 14, 65, 14, 87, 46. Give your answer to 2 decimal places

    Answer: Mean = 48.88, Median = 55.5, Range = 73

Tuesday 30 May 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√75

    Answer: 25√3
  2. 2. Algebra

    Complete the square: x² - 3x - 10

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

    Find area of triangle: a = 29cm, b = 29cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 402.13cm²
  4. 4. Ratio

    a:b is 5:8 and b:c is 6:5. Find a:b:c in its simplest form.

    Answer: 15:24:20
  5. 5. Statistics

    Find the mean, median and range of: 83, 18, 52, 76, 18, 87, 38. Give your answer to 2 decimal places

    Answer: Mean = 53.14, Median = 52, Range = 69

Wednesday 31 May 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √726

    Answer: 11√6
  2. 2. Algebra

    Complete the square: x² - 3x + 12

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

    Find area of triangle: a = 25cm, b = 24cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 295.44cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 7:4. Find a:b:c in its simplest form.

    Answer: 56:63:36
  5. 5. Statistics

    Find the mean, median and range of: 35, 67, 56, 75, 47, 16, 29, 33

    Answer: Mean = 44.75, Median = 41, Range = 59

Thursday 1 June 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √891

    Answer: 9√11
  2. 2. Algebra

    Complete the square: 3x² - 12x - 1

    Answer: 3(x - 2)² - 13
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 12cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 163.69cm²
  4. 4. Ratio

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

    Answer: 28:21:9
  5. 5. Statistics

    Find the mean, median and range of: 42, 49, 60, 46, 70, 75, 11, 68. Give your answer to 2 decimal places

    Answer: Mean = 52.63, Median = 54.5, Range = 64

Friday 2 June 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√63

    Answer: 9√7
  2. 2. Algebra

    Complete the square: x² - x + 8

    Answer: (x - 1⁄2)² + 31⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 29cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 182.41cm²
  4. 4. Ratio

    a:b is 9:2 and b:c is 9:5. Find a:b:c in its simplest form.

    Answer: 81:18:10
  5. 5. Statistics

    Find the mean, median and range of: 98, 15, 94, 71, 77, 64, 73, 32

    Answer: Mean = 65.5, Median = 72, Range = 83