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Capstone Jan 11 - 17 25 questions
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Monday 11 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: 5x² - 20x - 11

    Answer: 5(x - 2)² - 31
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 22cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 139.33cm²
  4. 4. Ratio

    a:b is 1:9 and b:c is 5:3. Find a:b:c in its simplest form.

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

    Find the mean, median and range of: 66, 20, 72, 72, 73, 62, 92, 31

    Answer: Mean = 61, Median = 69, Range = 72

Tuesday 12 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √272

    Answer: 4√17
  2. 2. Algebra

    Complete the square: x² + 11x - 12

    Answer: (x + 11⁄2)² - 169⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 17cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 110.14cm²
  4. 4. Ratio

    a:b is 1:6 and b:c is 9:7. Find a:b:c in its simplest form.

    Answer: 3:18:14
  5. 5. Statistics

    Find the mean, median and range of: 88, 14, 16, 88, 98, 98, 79, 61, 69. Give your answer to 2 decimal places

    Answer: Mean = 67.89, Median = 79, Range = 84

Wednesday 13 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√44

    Answer: 10√11
  2. 2. Algebra

    Complete the square: x² + 5x + 10

    Answer: (x + 5⁄2)² + 15⁄4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 22cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 202.04cm²
  4. 4. Ratio

    a:b is 3:5 and b:c is 8:7. Find a:b:c in its simplest form.

    Answer: 24:40:35
  5. 5. Statistics

    Find the mean, median and range of: 17, 82, 95, 78, 96, 82, 62. Give your answer to 2 decimal places

    Answer: Mean = 73.14, Median = 82, Range = 79

Thursday 14 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √112

    Answer: 4√7
  2. 2. Algebra

    Complete the square: x² + 7x - 4

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

    Find area of triangle: a = 27cm, b = 18cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 218.41cm²
  4. 4. Ratio

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

    Answer: 35:10:14
  5. 5. Statistics

    Find the mean, median and range of: 96, 31, 33, 74, 74, 41, 92

    Answer: Mean = 63, Median = 74, Range = 65

Friday 15 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √294

    Answer: 7√6
  2. 2. Algebra

    Complete the square: 2x² + 8x - 10

    Answer: 2(x + 2)² - 18
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 19cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 210.04cm²
  4. 4. Ratio

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

    Answer: 21:12:2
  5. 5. Statistics

    Find the mean, median and range of: 47, 36, 88, 35, 51, 95, 57. Give your answer to 2 decimal places

    Answer: Mean = 58.43, Median = 51, Range = 60