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Capstone Feb 27 - Mar 4 25 questions
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Monday 27 February 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√28

    Answer: 6√7
  2. 2. Algebra

    Complete the square: x² - 5x - 2

    Answer: (x - 5⁄2)² - 33⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 25cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 150cm²
  4. 4. Ratio

    a:b is 5:9 and b:c is 4:3. Find a:b:c in its simplest form.

    Answer: 20:36:27
  5. 5. Statistics

    Find the mean, median and range of: 67, 80, 38, 77, 44, 72, 90. Give your answer to 2 decimal places

    Answer: Mean = 66.86, Median = 72, Range = 52

Tuesday 28 February 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √32

    Answer: 4√2
  2. 2. Algebra

    Complete the square: 4x² - 8x - 13

    Answer: 4(x - 1)² - 17
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 24cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 304.46cm²
  4. 4. Ratio

    a:b is 7:3 and b:c is 5:8. Find a:b:c in its simplest form.

    Answer: 35:15:24
  5. 5. Statistics

    Find the mean, median and range of: 61, 18, 45, 40, 50, 64, 34, 87, 90. Give your answer to 2 decimal places

    Answer: Mean = 54.33, Median = 50, Range = 72

Wednesday 29 February 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√176

    Answer: 20√11
  2. 2. Algebra

    Complete the square: 4x² + 32x - 14

    Answer: 4(x + 4)² - 78
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 23cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 297.15cm²
  4. 4. Ratio

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

    Answer: 9:21:56
  5. 5. Statistics

    Find the mean, median and range of: 74, 68, 99, 15, 28, 22, 85, 86. Give your answer to 2 decimal places

    Answer: Mean = 59.63, Median = 71, Range = 84

Thursday 1 March 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √176

    Answer: 4√11
  2. 2. Algebra

    Complete the square: x² + x - 7

    Answer: (x + 1⁄2)² - 29⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 27cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 276.21cm²
  4. 4. Ratio

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

    Answer: 32:56:63
  5. 5. Statistics

    Find the mean, median and range of: 47, 99, 86, 70, 11, 23, 73, 67

    Answer: Mean = 59.5, Median = 68.5, Range = 88

Friday 2 March 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√28

    Answer: 10√7
  2. 2. Algebra

    Complete the square: x² - 11x - 10

    Answer: (x - 11⁄2)² - 161⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 21cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 225.46cm²
  4. 4. Ratio

    a:b is 5:3 and b:c is 2:7. Find a:b:c in its simplest form.

    Answer: 10:6:21
  5. 5. Statistics

    Find the mean, median and range of: 26, 37, 60, 100, 30, 19, 20, 64

    Answer: Mean = 44.5, Median = 33.5, Range = 81