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Capstone Sep 25 - Oct 1 25 questions
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Monday 25 September 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √540

    Answer: 6√15
  2. 2. Algebra

    Complete the square: x² + 5x

    Answer: (x + 5⁄2)² - 25⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 12cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 76.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 50, 65, 32, 56, 86, 55, 69

    Answer: Mean = 59, Median = 56, Range = 54

Tuesday 26 September 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√99

    Answer: 12√11
  2. 2. Algebra

    Complete the square: x² - 5x + 2

    Answer: (x - 5⁄2)² - 17⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 16cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 169.61cm²
  4. 4. Ratio

    a:b is 5:2 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 45:18:8
  5. 5. Statistics

    Find the mean, median and range of: 69, 32, 21, 20, 21, 16, 24

    Answer: Mean = 29, Median = 21, Range = 53

Wednesday 27 September 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √396

    Answer: 6√11
  2. 2. Algebra

    Complete the square: 4x² + 8x + 14

    Answer: 4(x + 1)² + 10
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 28cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 211.32cm²
  4. 4. Ratio

    a:b is 7:6 and b:c is 4:9. Find a:b:c in its simplest form.

    Answer: 14:12:27
  5. 5. Statistics

    Find the mean, median and range of: 38, 89, 55, 50, 36, 68, 81, 70. Give your answer to 2 decimal places

    Answer: Mean = 60.88, Median = 61.5, Range = 53

Thursday 28 September 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √700

    Answer: 10√7
  2. 2. Algebra

    Complete the square: x² - 9x - 6

    Answer: (x - 9⁄2)² - 105⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 28cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 287.54cm²
  4. 4. Ratio

    a:b is 4:7 and b:c is 2:7. Find a:b:c in its simplest form.

    Answer: 8:14:49
  5. 5. Statistics

    Find the mean, median and range of: 66, 68, 90, 24, 40, 22, 87, 18. Give your answer to 2 decimal places

    Answer: Mean = 51.88, Median = 53, Range = 72

Friday 29 September 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√176

    Answer: 12√11
  2. 2. Algebra

    Complete the square: 4x² + 16x - 6

    Answer: 4(x + 2)² - 22
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 23cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 138cm²
  4. 4. Ratio

    a:b is 3:7 and b:c is 2:1. Find a:b:c in its simplest form.

    Answer: 6:14:7
  5. 5. Statistics

    Find the mean, median and range of: 77, 87, 57, 80, 58, 48, 13, 26, 47. Give your answer to 2 decimal places

    Answer: Mean = 54.78, Median = 57, Range = 74