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Capstone Jul 7 - 13 25 questions
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Monday 7 July 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√275

    Answer: 15√11
  2. 2. Algebra

    Complete the square: 4x² - 16x - 5

    Answer: 4(x - 2)² - 21
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 13cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 126.78cm²
  4. 4. Ratio

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

    Answer: 18:10:35
  5. 5. Statistics

    Find the mean, median and range of: 99, 76, 45, 31, 16, 16, 90. Give your answer to 2 decimal places

    Answer: Mean = 53.29, Median = 45, Range = 83

Tuesday 8 July 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√40

    Answer: 8√10
  2. 2. Algebra

    Complete the square: x² + 9x + 2

    Answer: (x + 9⁄2)² - 73⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 15cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 158.93cm²
  4. 4. Ratio

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

    Answer: 12:21:28
  5. 5. Statistics

    Find the mean, median and range of: 56, 31, 64, 32, 62, 14, 24, 29

    Answer: Mean = 39, Median = 31.5, Range = 50

Wednesday 9 July 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√63

    Answer: 9√7
  2. 2. Algebra

    Complete the square: x² - 3x + 5

    Answer: (x - 3⁄2)² + 11⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 18cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 257.03cm²
  4. 4. Ratio

    a:b is 7:4 and b:c is 5:8. Find a:b:c in its simplest form.

    Answer: 35:20:32
  5. 5. Statistics

    Find the mean, median and range of: 85, 19, 52, 72, 26, 59, 99, 76, 13. Give your answer to 2 decimal places

    Answer: Mean = 55.67, Median = 59, Range = 86

Thursday 10 July 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √425

    Answer: 5√17
  2. 2. Algebra

    Complete the square: x² - x + 7

    Answer: (x - 1⁄2)² + 27⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 21cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 173.2cm²
  4. 4. Ratio

    a:b is 1:6 and b:c is 4:7. Find a:b:c in its simplest form.

    Answer: 2:12:21
  5. 5. Statistics

    Find the mean, median and range of: 40, 53, 40, 17, 50, 90, 98, 93. Give your answer to 2 decimal places

    Answer: Mean = 60.13, Median = 51.5, Range = 81

Friday 11 July 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √756

    Answer: 6√21
  2. 2. Algebra

    Complete the square: x² + 7x + 3

    Answer: (x + 7⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 19cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 109.04cm²
  4. 4. Ratio

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

    Answer: 14:63:18
  5. 5. Statistics

    Find the mean, median and range of: 23, 74, 91, 23, 55, 47, 80, 61, 13. Give your answer to 2 decimal places

    Answer: Mean = 51.89, Median = 55, Range = 78