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Capstone Apr 18 - 24 25 questions
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Monday 18 April 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: 2x² - 20x + 13

    Answer: 2(x - 5)² - 37
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 30cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 281.91cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 3:2. Find a:b:c in its simplest form.

    Answer: 3:12:8
  5. 5. Statistics

    Find the mean, median and range of: 27, 77, 51, 89, 16, 26, 84, 21, 14

    Answer: Mean = 45, Median = 27, Range = 75

Tuesday 19 April 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² - 9x + 12

    Answer: (x - 9⁄2)² - 33⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 27cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 224.34cm²
  4. 4. Ratio

    a:b is 5:6 and b:c is 8:9. Find a:b:c in its simplest form.

    Answer: 20:24:27
  5. 5. Statistics

    Find the mean, median and range of: 80, 45, 21, 13, 28, 28, 99. Give your answer to 2 decimal places

    Answer: Mean = 44.86, Median = 28, Range = 86

Wednesday 20 April 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√150

    Answer: 20√6
  2. 2. Algebra

    Complete the square: x² + 5x + 5

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

    Find area of triangle: a = 14cm, b = 26cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 169.91cm²
  4. 4. Ratio

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

    Answer: 24:15:25
  5. 5. Statistics

    Find the mean, median and range of: 57, 54, 100, 82, 92, 68, 32. Give your answer to 2 decimal places

    Answer: Mean = 69.29, Median = 68, Range = 68

Thursday 21 April 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √175

    Answer: 5√7
  2. 2. Algebra

    Complete the square: x² - 9x - 1

    Answer: (x - 9⁄2)² - 85⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 12cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 149.96cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 5:4. Find a:b:c in its simplest form.

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

    Find the mean, median and range of: 17, 94, 30, 31, 13, 38, 32, 63, 99. Give your answer to 2 decimal places

    Answer: Mean = 46.33, Median = 32, Range = 86

Friday 22 April 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √810

    Answer: 9√10
  2. 2. Algebra

    Complete the square: 4x² + 32x - 2

    Answer: 4(x + 4)² - 66
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 24cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 246.49cm²
  4. 4. Ratio

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

    Answer: 25:35:14
  5. 5. Statistics

    Find the mean, median and range of: 40, 36, 31, 46, 63, 39, 30, 64, 54. Give your answer to 2 decimal places

    Answer: Mean = 44.78, Median = 40, Range = 34