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Capstone May 15 - 21 25 questions
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Monday 15 May 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√160

    Answer: 8√10
  2. 2. Algebra

    Complete the square: x² - 7x - 4

    Answer: (x - 7⁄2)² - 65⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 19cm, angle = 46°. Give your answer to 2 decimal places

    Answer: 129.84cm²
  4. 4. Ratio

    a:b is 7:9 and b:c is 5:8. Find a:b:c in its simplest form.

    Answer: 35:45:72
  5. 5. Statistics

    Find the mean, median and range of: 23, 26, 70, 88, 37, 94, 10, 24

    Answer: Mean = 46.5, Median = 31.5, Range = 84

Tuesday 16 May 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √304

    Answer: 4√19
  2. 2. Algebra

    Complete the square: 3x² + 24x - 10

    Answer: 3(x + 4)² - 58
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 26cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 339.04cm²
  4. 4. Ratio

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

    Answer: 30:42:49
  5. 5. Statistics

    Find the mean, median and range of: 30, 73, 10, 45, 95, 12, 29

    Answer: Mean = 42, Median = 30, Range = 85

Wednesday 17 May 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√54

    Answer: 12√6
  2. 2. Algebra

    Complete the square: 4x² - 16x - 9

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

    Find area of triangle: a = 26cm, b = 29cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 319.71cm²
  4. 4. Ratio

    a:b is 8:7 and b:c is 9:2. Find a:b:c in its simplest form.

    Answer: 72:63:14
  5. 5. Statistics

    Find the mean, median and range of: 57, 68, 64, 87, 75, 23, 75. Give your answer to 2 decimal places

    Answer: Mean = 64.14, Median = 68, Range = 64

Thursday 18 May 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √735

    Answer: 7√15
  2. 2. Algebra

    Complete the square: 4x² + 24x - 15

    Answer: 4(x + 3)² - 51
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 12cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 97.92cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 4:1. Find a:b:c in its simplest form.

    Answer: 4:28:7
  5. 5. Statistics

    Find the mean, median and range of: 12, 53, 22, 88, 33, 34, 22, 64, 33. Give your answer to 2 decimal places

    Answer: Mean = 40.11, Median = 33, Range = 76

Friday 19 May 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √352

    Answer: 4√22
  2. 2. Algebra

    Complete the square: x² + 7x - 2

    Answer: (x + 7⁄2)² - 57⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 13cm, angle = 46°. Give your answer to 2 decimal places

    Answer: 107.54cm²
  4. 4. Ratio

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

    Answer: 4:18:81
  5. 5. Statistics

    Find the mean, median and range of: 61, 40, 89, 66, 85, 58, 16. Give your answer to 2 decimal places

    Answer: Mean = 59.29, Median = 61, Range = 73