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Capstone Aug 11 - 17 25 questions
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Monday 11 August 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √294

    Answer: 7√6
  2. 2. Algebra

    Complete the square: x² + 7x + 10

    Answer: (x + 7⁄2)² - 9⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 30cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 326.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 44, 14, 69, 99, 32, 95, 60, 76. Give your answer to 2 decimal places

    Answer: Mean = 61.13, Median = 64.5, Range = 85

Tuesday 12 August 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√8

    Answer: 4√2
  2. 2. Algebra

    Complete the square: 4x² - 32x - 2

    Answer: 4(x - 4)² - 66
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 13cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 151.9cm²
  4. 4. Ratio

    a:b is 1:8 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 9:72:32
  5. 5. Statistics

    Find the mean, median and range of: 29, 25, 51, 64, 64, 87, 37

    Answer: Mean = 51, Median = 51, Range = 62

Wednesday 13 August 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √343

    Answer: 7√7
  2. 2. Algebra

    Complete the square: x² - 7x - 6

    Answer: (x - 7⁄2)² - 73⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 14cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 157.29cm²
  4. 4. Ratio

    a:b is 2:9 and b:c is 7:5. Find a:b:c in its simplest form.

    Answer: 14:63:45
  5. 5. Statistics

    Find the mean, median and range of: 65, 66, 34, 96, 83, 88, 21, 56, 46. Give your answer to 2 decimal places

    Answer: Mean = 61.67, Median = 65, Range = 75

Thursday 14 August 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: 5x² - 60x - 8

    Answer: 5(x - 6)² - 188
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 16cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 150.35cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 8:9. Find a:b:c in its simplest form.

    Answer: 32:24:27
  5. 5. Statistics

    Find the mean, median and range of: 75, 81, 62, 70, 81, 40, 98. Give your answer to 2 decimal places

    Answer: Mean = 72.43, Median = 75, Range = 58

Friday 15 August 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √160

    Answer: 4√10
  2. 2. Algebra

    Complete the square: x² + x + 1

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

    Find area of triangle: a = 24cm, b = 26cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 280.42cm²
  4. 4. Ratio

    a:b is 5:6 and b:c is 7:3. Find a:b:c in its simplest form.

    Answer: 35:42:18
  5. 5. Statistics

    Find the mean, median and range of: 69, 11, 79, 82, 39, 28, 49, 17

    Answer: Mean = 46.75, Median = 44, Range = 71