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Capstone Aug 6 - 12 25 questions
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Monday 6 August 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √352

    Answer: 4√22
  2. 2. Algebra

    Complete the square: 5x² - 30x + 1

    Answer: 5(x - 3)² - 44
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 19cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 141.07cm²
  4. 4. Ratio

    a:b is 5:6 and b:c is 7:1. Find a:b:c in its simplest form.

    Answer: 35:42:6
  5. 5. Statistics

    Find the mean, median and range of: 93, 25, 32, 24, 76, 33, 36, 90, 13. Give your answer to 2 decimal places

    Answer: Mean = 46.89, Median = 33, Range = 80

Tuesday 7 August 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 5x - 4

    Answer: (x + 5⁄2)² - 41⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 24cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 305.18cm²
  4. 4. Ratio

    a:b is 2:5 and b:c is 9:8. Find a:b:c in its simplest form.

    Answer: 18:45:40
  5. 5. Statistics

    Find the mean, median and range of: 36, 78, 53, 44, 85, 64, 46, 30, 24. Give your answer to 2 decimal places

    Answer: Mean = 51.11, Median = 46, Range = 61

Wednesday 8 August 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √686

    Answer: 7√14
  2. 2. Algebra

    Complete the square: x² + 5x - 3

    Answer: (x + 5⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 16cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 157.28cm²
  4. 4. Ratio

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

    Answer: 9:24:16
  5. 5. Statistics

    Find the mean, median and range of: 90, 62, 100, 27, 46, 29, 21, 23, 78. Give your answer to 2 decimal places

    Answer: Mean = 52.89, Median = 46, Range = 79

Thursday 9 August 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √468

    Answer: 6√13
  2. 2. Algebra

    Complete the square: 4x² + 32x + 10

    Answer: 4(x + 4)² - 54
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 16cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 113.13cm²
  4. 4. Ratio

    a:b is 7:8 and b:c is 5:1. Find a:b:c in its simplest form.

    Answer: 35:40:8
  5. 5. Statistics

    Find the mean, median and range of: 89, 85, 78, 96, 34, 39, 71. Give your answer to 2 decimal places

    Answer: Mean = 70.29, Median = 78, Range = 62

Friday 10 August 2012

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √700

    Answer: 10√7
  2. 2. Algebra

    Complete the square: 3x² + 12x + 2

    Answer: 3(x + 2)² - 10
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 13cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 179.27cm²
  4. 4. Ratio

    a:b is 4:9 and b:c is 7:5. Find a:b:c in its simplest form.

    Answer: 28:63:45
  5. 5. Statistics

    Find the mean, median and range of: 76, 50, 65, 48, 56, 86, 26, 93, 28. Give your answer to 2 decimal places

    Answer: Mean = 58.67, Median = 56, Range = 67