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Capstone Aug 4 - 10 25 questions
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Monday 4 August 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √325

    Answer: 5√13
  2. 2. Algebra

    Complete the square: x² - x

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

    Find area of triangle: a = 12cm, b = 24cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 130.51cm²
  4. 4. Ratio

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

    Answer: 49:56:40
  5. 5. Statistics

    Find the mean, median and range of: 52, 68, 13, 61, 68, 52, 87, 16, 70. Give your answer to 2 decimal places

    Answer: Mean = 54.11, Median = 61, Range = 74

Tuesday 5 August 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √891

    Answer: 9√11
  2. 2. Algebra

    Complete the square: 2x² - 24x + 9

    Answer: 2(x - 6)² - 63
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 21cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 124.09cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 21:14:16
  5. 5. Statistics

    Find the mean, median and range of: 81, 85, 18, 80, 58, 36, 39, 75, 54. Give your answer to 2 decimal places

    Answer: Mean = 58.44, Median = 58, Range = 67

Wednesday 6 August 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √396

    Answer: 6√11
  2. 2. Algebra

    Complete the square: x² - 5x - 9

    Answer: (x - 5⁄2)² - 61⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 14cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 66.19cm²
  4. 4. Ratio

    a:b is 7:9 and b:c is 7:3. Find a:b:c in its simplest form.

    Answer: 49:63:27
  5. 5. Statistics

    Find the mean, median and range of: 86, 86, 56, 79, 87, 71, 75, 10

    Answer: Mean = 68.75, Median = 77, Range = 77

Thursday 7 August 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√32

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² - 5x

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

    Find area of triangle: a = 21cm, b = 24cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 184.3cm²
  4. 4. Ratio

    a:b is 9:8 and b:c is 3:1. Find a:b:c in its simplest form.

    Answer: 27:24:8
  5. 5. Statistics

    Find the mean, median and range of: 60, 26, 20, 35, 24, 72, 87, 53. Give your answer to 2 decimal places

    Answer: Mean = 47.13, Median = 44, Range = 67

Friday 8 August 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√28

    Answer: 6√7
  2. 2. Algebra

    Complete the square: x² + x + 8

    Answer: (x + 1⁄2)² + 31⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 23cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 199.37cm²
  4. 4. Ratio

    a:b is 9:7 and b:c is 4:5. Find a:b:c in its simplest form.

    Answer: 36:28:35
  5. 5. Statistics

    Find the mean, median and range of: 26, 89, 17, 10, 49, 45, 90, 12

    Answer: Mean = 42.25, Median = 35.5, Range = 80