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Capstone Nov 20 - 26 25 questions
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Monday 20 November 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √1000

    Answer: 10√10
  2. 2. Algebra

    Complete the square: x² - 7x + 5

    Answer: (x - 7⁄2)² - 29⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 21cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 237.83cm²
  4. 4. Ratio

    a:b is 4:9 and b:c is 4:5. Find a:b:c in its simplest form.

    Answer: 16:36:45
  5. 5. Statistics

    Find the mean, median and range of: 87, 85, 72, 17, 56, 39, 68, 41, 87. Give your answer to 2 decimal places

    Answer: Mean = 61.33, Median = 68, Range = 70

Tuesday 21 November 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √175

    Answer: 5√7
  2. 2. Algebra

    Complete the square: 2x² + 24x - 3

    Answer: 2(x + 6)² - 75
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 23cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 225.46cm²
  4. 4. Ratio

    a:b is 5:6 and b:c is 7:1. Find a:b:c in its simplest form.

    Answer: 35:42:6
  5. 5. Statistics

    Find the mean, median and range of: 54, 86, 88, 38, 85, 38, 61. Give your answer to 2 decimal places

    Answer: Mean = 64.29, Median = 61, Range = 50

Wednesday 22 November 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √240

    Answer: 4√15
  2. 2. Algebra

    Complete the square: 4x² - 16x + 15

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

    Find area of triangle: a = 13cm, b = 26cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 157.78cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 8:7. Find a:b:c in its simplest form.

    Answer: 8:56:49
  5. 5. Statistics

    Find the mean, median and range of: 49, 26, 96, 25, 65, 39, 60, 17, 42. Give your answer to 2 decimal places

    Answer: Mean = 46.56, Median = 42, Range = 79

Thursday 23 November 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√250

    Answer: 10√10
  2. 2. Algebra

    Complete the square: x² - 7x - 1

    Answer: (x - 7⁄2)² - 53⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 22cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 129.12cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 37, 18, 29, 10, 39, 65, 100. Give your answer to 2 decimal places

    Answer: Mean = 42.57, Median = 37, Range = 90

Friday 24 November 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √539

    Answer: 7√11
  2. 2. Algebra

    Complete the square: x² + 5x - 1

    Answer: (x + 5⁄2)² - 29⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 22cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 95.69cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 2:7. Find a:b:c in its simplest form.

    Answer: 12:14:49
  5. 5. Statistics

    Find the mean, median and range of: 34, 19, 61, 64, 10, 94, 48. Give your answer to 2 decimal places

    Answer: Mean = 47.14, Median = 48, Range = 84