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Capstone Aug 7 - 13 25 questions
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Monday 7 August 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √490

    Answer: 7√10
  2. 2. Algebra

    Complete the square: x² - 3x + 9

    Answer: (x - 3⁄2)² + 27⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 24cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 176.94cm²
  4. 4. Ratio

    a:b is 3:5 and b:c is 3:4. Find a:b:c in its simplest form.

    Answer: 9:15:20
  5. 5. Statistics

    Find the mean, median and range of: 71, 84, 32, 56, 86, 79, 81. Give your answer to 2 decimal places

    Answer: Mean = 69.86, Median = 79, Range = 54

Tuesday 8 August 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√99

    Answer: 9√11
  2. 2. Algebra

    Complete the square: x² + 9x + 7

    Answer: (x + 9⁄2)² - 53⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 15cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 80.3cm²
  4. 4. Ratio

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

    Answer: 6:14:21
  5. 5. Statistics

    Find the mean, median and range of: 62, 30, 93, 78, 62, 80, 62, 35, 32. Give your answer to 2 decimal places

    Answer: Mean = 59.33, Median = 62, Range = 63

Wednesday 9 August 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √810

    Answer: 9√10
  2. 2. Algebra

    Complete the square: 4x² - 8x - 8

    Answer: 4(x - 1)² - 12
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 15cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 107.41cm²
  4. 4. Ratio

    a:b is 8:3 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 40:15:6
  5. 5. Statistics

    Find the mean, median and range of: 92, 74, 77, 34, 90, 42, 89. Give your answer to 2 decimal places

    Answer: Mean = 71.14, Median = 77, Range = 58

Thursday 10 August 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√12

    Answer: 4√3
  2. 2. Algebra

    Complete the square: x² + 9x - 8

    Answer: (x + 9⁄2)² - 113⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 12cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 113.46cm²
  4. 4. Ratio

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

    Answer: 49:28:36
  5. 5. Statistics

    Find the mean, median and range of: 74, 38, 56, 72, 23, 38, 77

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

Friday 11 August 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √833

    Answer: 7√17
  2. 2. Algebra

    Complete the square: x² - x - 12

    Answer: (x - 1⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 23cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 152.31cm²
  4. 4. Ratio

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

    Answer: 32:36:63
  5. 5. Statistics

    Find the mean, median and range of: 93, 95, 38, 65, 78, 93, 74, 53, 12. Give your answer to 2 decimal places

    Answer: Mean = 66.78, Median = 74, Range = 83