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Capstone Jan 5 - 11 25 questions
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Monday 5 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √847

    Answer: 11√7
  2. 2. Algebra

    Complete the square: 2x² - 8x - 10

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

    Find area of triangle: a = 25cm, b = 24cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 281.91cm²
  4. 4. Ratio

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

    Answer: 21:28:20
  5. 5. Statistics

    Find the mean, median and range of: 84, 93, 38, 47, 40, 73, 76. Give your answer to 2 decimal places

    Answer: Mean = 64.43, Median = 73, Range = 55

Tuesday 6 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√20

    Answer: 4√5
  2. 2. Algebra

    Complete the square: 2x² - 8x + 12

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

    Find area of triangle: a = 22cm, b = 14cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 150.63cm²
  4. 4. Ratio

    a:b is 7:3 and b:c is 2:7. Find a:b:c in its simplest form.

    Answer: 14:6:21
  5. 5. Statistics

    Find the mean, median and range of: 80, 76, 52, 71, 97, 43, 17. Give your answer to 2 decimal places

    Answer: Mean = 62.29, Median = 71, Range = 80

Wednesday 7 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √475

    Answer: 5√19
  2. 2. Algebra

    Complete the square: 4x² - 40x - 9

    Answer: 4(x - 5)² - 109
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 14cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 177.6cm²
  4. 4. Ratio

    a:b is 1:6 and b:c is 5:3. Find a:b:c in its simplest form.

    Answer: 5:30:18
  5. 5. Statistics

    Find the mean, median and range of: 86, 74, 63, 21, 80, 84, 82

    Answer: Mean = 70, Median = 80, Range = 65

Thursday 8 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√160

    Answer: 16√10
  2. 2. Algebra

    Complete the square: 2x² - 20x - 8

    Answer: 2(x - 5)² - 58
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 29cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 381.52cm²
  4. 4. Ratio

    a:b is 2:5 and b:c is 2:1. Find a:b:c in its simplest form.

    Answer: 4:10:5
  5. 5. Statistics

    Find the mean, median and range of: 79, 11, 43, 75, 90, 90, 100, 88

    Answer: Mean = 72, Median = 83.5, Range = 89

Friday 9 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√63

    Answer: 6√7
  2. 2. Algebra

    Complete the square: x² + 5x

    Answer: (x + 5⁄2)² - 25⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 20cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 139.89cm²
  4. 4. Ratio

    a:b is 2:7 and b:c is 3:1. Find a:b:c in its simplest form.

    Answer: 6:21:7
  5. 5. Statistics

    Find the mean, median and range of: 23, 54, 74, 36, 72, 52, 17, 68

    Answer: Mean = 49.5, Median = 53, Range = 57