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Capstone Nov 24 - 30 25 questions
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Monday 24 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √405

    Answer: 9√5
  2. 2. Algebra

    Complete the square: x² - 5x + 12

    Answer: (x - 5⁄2)² + 23⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 23cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 166.62cm²
  4. 4. Ratio

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

    Answer: 35:40:64
  5. 5. Statistics

    Find the mean, median and range of: 43, 99, 50, 88, 27, 41, 83, 73, 51. Give your answer to 2 decimal places

    Answer: Mean = 61.67, Median = 51, Range = 72

Tuesday 25 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√112

    Answer: 8√7
  2. 2. Algebra

    Complete the square: x² - x + 1

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

    Find area of triangle: a = 26cm, b = 17cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 191.39cm²
  4. 4. Ratio

    a:b is 3:7 and b:c is 9:1. Find a:b:c in its simplest form.

    Answer: 27:63:7
  5. 5. Statistics

    Find the mean, median and range of: 35, 30, 73, 23, 78, 93, 100. Give your answer to 2 decimal places

    Answer: Mean = 61.71, Median = 73, Range = 77

Wednesday 26 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√125

    Answer: 15√5
  2. 2. Algebra

    Complete the square: x² + x + 12

    Answer: (x + 1⁄2)² + 47⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 21cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 141.07cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 7:1. Find a:b:c in its simplest form.

    Answer: 21:28:4
  5. 5. Statistics

    Find the mean, median and range of: 98, 13, 12, 76, 19, 93, 48, 83, 36. Give your answer to 2 decimal places

    Answer: Mean = 53.11, Median = 48, Range = 86

Thursday 27 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: 5x² - 60x - 10

    Answer: 5(x - 6)² - 190
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 22cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 243.2cm²
  4. 4. Ratio

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

    Answer: 56:35:25
  5. 5. Statistics

    Find the mean, median and range of: 41, 46, 54, 100, 85, 30, 35, 98. Give your answer to 2 decimal places

    Answer: Mean = 61.13, Median = 50, Range = 70

Friday 28 November 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √475

    Answer: 5√19
  2. 2. Algebra

    Complete the square: 2x² - 16x - 14

    Answer: 2(x - 4)² - 46
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 28cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 202.84cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 8:3. Find a:b:c in its simplest form.

    Answer: 32:24:9
  5. 5. Statistics

    Find the mean, median and range of: 29, 21, 22, 57, 57, 53, 40, 91

    Answer: Mean = 46.25, Median = 46.5, Range = 70