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Capstone Nov 4 - 10 25 questions
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Monday 4 November 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: 2x² + 12x - 6

    Answer: 2(x + 3)² - 24
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 14cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 186.13cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 7:5. Find a:b:c in its simplest form.

    Answer: 28:21:15
  5. 5. Statistics

    Find the mean, median and range of: 50, 85, 61, 43, 63, 75, 18. Give your answer to 2 decimal places

    Answer: Mean = 56.43, Median = 61, Range = 67

Tuesday 5 November 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² - 7x - 4

    Answer: (x - 7⁄2)² - 65⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 17cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 94.72cm²
  4. 4. Ratio

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

    Answer: 49:56:64
  5. 5. Statistics

    Find the mean, median and range of: 72, 49, 23, 59, 10, 94, 83, 32, 57. Give your answer to 2 decimal places

    Answer: Mean = 53.22, Median = 57, Range = 84

Wednesday 6 November 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√40

    Answer: 4√10
  2. 2. Algebra

    Complete the square: 3x² - 30x - 1

    Answer: 3(x - 5)² - 76
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 15cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 149.74cm²
  4. 4. Ratio

    a:b is 2:7 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 18:63:28
  5. 5. Statistics

    Find the mean, median and range of: 59, 28, 61, 93, 95, 77, 58, 50, 65. Give your answer to 2 decimal places

    Answer: Mean = 65.11, Median = 61, Range = 67

Thursday 7 November 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √343

    Answer: 7√7
  2. 2. Algebra

    Complete the square: 2x² - 20x - 7

    Answer: 2(x - 5)² - 57
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 25cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 319.74cm²
  4. 4. Ratio

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

    Answer: 7:28:24
  5. 5. Statistics

    Find the mean, median and range of: 74, 70, 28, 31, 58, 96, 30, 37, 13. Give your answer to 2 decimal places

    Answer: Mean = 48.56, Median = 37, Range = 83

Friday 8 November 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√125

    Answer: 15√5
  2. 2. Algebra

    Complete the square: 4x² - 16x + 2

    Answer: 4(x - 2)² - 14
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 21cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 206.04cm²
  4. 4. Ratio

    a:b is 2:5 and b:c is 8:3. Find a:b:c in its simplest form.

    Answer: 16:40:15
  5. 5. Statistics

    Find the mean, median and range of: 24, 27, 25, 25, 92, 79, 76. Give your answer to 2 decimal places

    Answer: Mean = 49.71, Median = 27, Range = 68