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Capstone Dec 11 - 17 25 questions
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Monday 11 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√45

    Answer: 15√5
  2. 2. Algebra

    Complete the square: 5x² - 10x + 15

    Answer: 5(x - 1)² + 10
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 21cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 122.26cm²
  4. 4. Ratio

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

    Answer: 40:15:6
  5. 5. Statistics

    Find the mean, median and range of: 66, 83, 77, 68, 45, 78, 11, 45. Give your answer to 2 decimal places

    Answer: Mean = 59.13, Median = 67, Range = 72

Tuesday 12 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √32

    Answer: 4√2
  2. 2. Algebra

    Complete the square: x² + 7x - 2

    Answer: (x + 7⁄2)² - 57⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 16cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 87.7cm²
  4. 4. Ratio

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

    Answer: 81:72:32
  5. 5. Statistics

    Find the mean, median and range of: 85, 19, 100, 53, 76, 53, 56. Give your answer to 2 decimal places

    Answer: Mean = 63.14, Median = 56, Range = 81

Wednesday 13 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √475

    Answer: 5√19
  2. 2. Algebra

    Complete the square: x² + 9x + 7

    Answer: (x + 9⁄2)² - 53⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 24cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 308.14cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 4:1. Find a:b:c in its simplest form.

    Answer: 4:20:5
  5. 5. Statistics

    Find the mean, median and range of: 99, 88, 60, 11, 11, 83, 85, 12, 60. Give your answer to 2 decimal places

    Answer: Mean = 56.56, Median = 60, Range = 88

Thursday 14 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √448

    Answer: 8√7
  2. 2. Algebra

    Complete the square: x² + 5x + 11

    Answer: (x + 5⁄2)² + 19⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 18cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 242.67cm²
  4. 4. Ratio

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

    Answer: 27:45:25
  5. 5. Statistics

    Find the mean, median and range of: 25, 71, 51, 67, 15, 16, 39. Give your answer to 2 decimal places

    Answer: Mean = 40.57, Median = 39, Range = 56

Friday 15 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√160

    Answer: 20√10
  2. 2. Algebra

    Complete the square: x² - x + 5

    Answer: (x - 1⁄2)² + 19⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 30cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 404.46cm²
  4. 4. Ratio

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

    Answer: 49:63:27
  5. 5. Statistics

    Find the mean, median and range of: 83, 72, 52, 70, 45, 57, 55, 57, 10. Give your answer to 2 decimal places

    Answer: Mean = 55.67, Median = 57, Range = 73