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Capstone Jan 25 - 31 25 questions
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Monday 25 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√27

    Answer: 6√3
  2. 2. Algebra

    Complete the square: 4x² - 16x - 13

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

    Find area of triangle: a = 20cm, b = 15cm, angle = 46°. Give your answer to 2 decimal places

    Answer: 107.9cm²
  4. 4. Ratio

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

    Answer: 40:35:49
  5. 5. Statistics

    Find the mean, median and range of: 36, 26, 73, 25, 100, 62, 74, 37, 64. Give your answer to 2 decimal places

    Answer: Mean = 55.22, Median = 62, Range = 75

Tuesday 26 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√18

    Answer: 15√2
  2. 2. Algebra

    Complete the square: 3x² + 30x - 10

    Answer: 3(x + 5)² - 85
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 27cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 344.55cm²
  4. 4. Ratio

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

    Answer: 15:6:8
  5. 5. Statistics

    Find the mean, median and range of: 97, 87, 28, 24, 18, 26, 80, 14, 52. Give your answer to 2 decimal places

    Answer: Mean = 47.33, Median = 28, Range = 83

Wednesday 27 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √891

    Answer: 9√11
  2. 2. Algebra

    Complete the square: 3x² + 6x + 8

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

    Find area of triangle: a = 21cm, b = 19cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 155.04cm²
  4. 4. Ratio

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

    Answer: 40:56:35
  5. 5. Statistics

    Find the mean, median and range of: 66, 75, 16, 30, 92, 71, 31, 93, 15. Give your answer to 2 decimal places

    Answer: Mean = 54.33, Median = 66, Range = 78

Thursday 28 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√44

    Answer: 8√11
  2. 2. Algebra

    Complete the square: 2x² + 24x + 5

    Answer: 2(x + 6)² - 67
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 19cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 107.48cm²
  4. 4. Ratio

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

    Answer: 40:15:24
  5. 5. Statistics

    Find the mean, median and range of: 97, 90, 15, 27, 52, 32, 33, 64

    Answer: Mean = 51.25, Median = 42.5, Range = 82

Friday 29 January 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √896

    Answer: 8√14
  2. 2. Algebra

    Complete the square: x² + 9x + 4

    Answer: (x + 9⁄2)² - 65⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 26cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 319.59cm²
  4. 4. Ratio

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

    Answer: 15:10:6
  5. 5. Statistics

    Find the mean, median and range of: 40, 48, 48, 46, 54, 65, 69, 21, 69. Give your answer to 2 decimal places

    Answer: Mean = 51.11, Median = 48, Range = 48