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Capstone Dec 25 - 31 25 questions
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Monday 25 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: 2x² + 4x - 12

    Answer: 2(x + 1)² - 14
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 14cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 143.79cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 5:4. Find a:b:c in its simplest form.

    Answer: 15:10:8
  5. 5. Statistics

    Find the mean, median and range of: 61, 95, 25, 77, 43, 48, 79, 28, 61. Give your answer to 2 decimal places

    Answer: Mean = 57.44, Median = 61, Range = 70

Tuesday 26 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √700

    Answer: 10√7
  2. 2. Algebra

    Complete the square: 5x² + 30x - 3

    Answer: 5(x + 3)² - 48
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 15cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 136.27cm²
  4. 4. Ratio

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

    Answer: 21:24:56
  5. 5. Statistics

    Find the mean, median and range of: 24, 82, 81, 70, 48, 25, 77, 84, 85

    Answer: Mean = 64, Median = 77, Range = 61

Wednesday 27 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √240

    Answer: 4√15
  2. 2. Algebra

    Complete the square: 5x² - 50x + 3

    Answer: 5(x - 5)² - 122
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 23cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 237.06cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 2:3. Find a:b:c in its simplest form.

    Answer: 12:14:21
  5. 5. Statistics

    Find the mean, median and range of: 46, 62, 20, 39, 99, 23, 42, 81

    Answer: Mean = 51.5, Median = 44, Range = 79

Thursday 28 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √208

    Answer: 4√13
  2. 2. Algebra

    Complete the square: 3x² - 18x - 6

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

    Find area of triangle: a = 22cm, b = 14cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 148.75cm²
  4. 4. Ratio

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

    Answer: 7:14:2
  5. 5. Statistics

    Find the mean, median and range of: 60, 75, 50, 19, 67, 16, 96, 48. Give your answer to 2 decimal places

    Answer: Mean = 53.88, Median = 55, Range = 80

Friday 29 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√44

    Answer: 10√11
  2. 2. Algebra

    Complete the square: x² - 3x - 5

    Answer: (x - 3⁄2)² - 29⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 19cm, angle = 48°. Give your answer to 2 decimal places

    Answer: 183.56cm²
  4. 4. Ratio

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

    Answer: 9:21:28
  5. 5. Statistics

    Find the mean, median and range of: 61, 32, 93, 64, 86, 69, 19, 80

    Answer: Mean = 63, Median = 66.5, Range = 74