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Capstone Jan 23 - 29 25 questions
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Monday 23 January 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √112

    Answer: 4√7
  2. 2. Algebra

    Complete the square: x² + 11x - 6

    Answer: (x + 11⁄2)² - 145⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 29cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 242.76cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 79, 39, 39, 22, 78, 30, 40. Give your answer to 2 decimal places

    Answer: Mean = 46.71, Median = 39, Range = 57

Tuesday 24 January 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 29cm, b = 14cm, angle = 79°

    Answer: 199.3cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 4:5. Find a:b:c.

    Answer: 8:12:15
  5. 5. Statistics

    Find the mean, median and range of: 53, 55, 63, 34, 99, 55, 93, 58

    Answer: Mean = 63.8, Median = 58, Range = 65

Wednesday 25 January 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √1000

    Answer: 10√10
  2. 2. Algebra

    Complete the square: 5x² + 10x + 9

    Answer: 5(x + 1)² + 4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 20cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 113.14cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 4:3. Find a:b:c in its simplest form.

    Answer: 24:20:15
  5. 5. Statistics

    Find the mean, median and range of: 83, 86, 14, 31, 31, 81, 46, 93. Give your answer to 2 decimal places

    Answer: Mean = 58.13, Median = 63.5, Range = 79

Thursday 26 January 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √500

    Answer: 10√5
  2. 2. Algebra

    Complete the square: x² + 5x - 2

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

    Find area of triangle: a = 22cm, b = 22cm, angle = 46°. Give your answer to 2 decimal places

    Answer: 174.08cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 9:7. Find a:b:c in its simplest form.

    Answer: 27:18:14
  5. 5. Statistics

    Find the mean, median and range of: 97, 36, 21, 10, 70, 49, 50, 19

    Answer: Mean = 44, Median = 42.5, Range = 87

Friday 27 January 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√40

    Answer: 6√10
  2. 2. Algebra

    Complete the square: 3x² + 36x - 11

    Answer: 3(x + 6)² - 119
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 13cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 108.48cm²
  4. 4. Ratio

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

    Answer: 9:15:10
  5. 5. Statistics

    Find the mean, median and range of: 71, 93, 50, 55, 29, 55, 31, 58

    Answer: Mean = 55.25, Median = 55, Range = 64