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Capstone Jul 6 - 12 25 questions
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Monday 6 July 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √864

    Answer: 12√6
  2. 2. Algebra

    Complete the square: 2x² - 12x - 15

    Answer: 2(x - 3)² - 33
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 19cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 179.24cm²
  4. 4. Ratio

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

    Answer: 25:35:42
  5. 5. Statistics

    Find the mean, median and range of: 77, 91, 96, 92, 19, 55, 67, 12. Give your answer to 2 decimal places

    Answer: Mean = 63.63, Median = 72, Range = 84

Tuesday 7 July 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √448

    Answer: 8√7
  2. 2. Algebra

    Complete the square: x² - 11x - 9

    Answer: (x - 11⁄2)² - 157⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 27cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 232.47cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 32, 58, 63, 44, 40, 48, 75, 33. Give your answer to 2 decimal places

    Answer: Mean = 49.13, Median = 46, Range = 43

Wednesday 8 July 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √216

    Answer: 6√6
  2. 2. Algebra

    Complete the square: 3x² - 18x + 8

    Answer: 3(x - 3)² - 19
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 16cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 207.69cm²
  4. 4. Ratio

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

    Answer: 12:15:20
  5. 5. Statistics

    Find the mean, median and range of: 30, 14, 59, 22, 41, 46, 74, 26, 50. Give your answer to 2 decimal places

    Answer: Mean = 40.22, Median = 41, Range = 60

Thursday 9 July 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 3x - 10

    Answer: (x + 3⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 18cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 207.11cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 3:7. Find a:b:c in its simplest form.

    Answer: 18:21:49
  5. 5. Statistics

    Find the mean, median and range of: 82, 46, 32, 96, 14, 36, 16

    Answer: Mean = 46, Median = 36, Range = 82

Friday 10 July 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √756

    Answer: 6√21
  2. 2. Algebra

    Complete the square: x² + 11x - 5

    Answer: (x + 11⁄2)² - 141⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 26cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 351.96cm²
  4. 4. Ratio

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

    Answer: 10:14:63
  5. 5. Statistics

    Find the mean, median and range of: 81, 19, 86, 80, 73, 84, 44, 60, 85

    Answer: Mean = 68, Median = 80, Range = 67