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Capstone Jan 9 - 15 25 questions
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Monday 9 January 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √726

    Answer: 11√6
  2. 2. Algebra

    Complete the square: x² - x - 10

    Answer: (x - 1⁄2)² - 41⁄4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 27cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 252.6cm²
  4. 4. Ratio

    a:b is 9:4 and b:c is 7:3. Find a:b:c in its simplest form.

    Answer: 63:28:12
  5. 5. Statistics

    Find the mean, median and range of: 13, 97, 98, 43, 24, 52, 12. Give your answer to 2 decimal places

    Answer: Mean = 48.43, Median = 43, Range = 86

Tuesday 10 January 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 5x + 4

    Answer: (x + 5⁄2)² - 9⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 13cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 62.06cm²
  4. 4. Ratio

    a:b is 1:9 and b:c is 5:8. Find a:b:c in its simplest form.

    Answer: 5:45:72
  5. 5. Statistics

    Find the mean, median and range of: 57, 67, 17, 91, 25, 25, 93, 77, 52

    Answer: Mean = 56, Median = 57, Range = 76

Wednesday 11 January 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² - x + 10

    Answer: (x - 1⁄2)² + 39⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 18cm, angle = 48°. Give your answer to 2 decimal places

    Answer: 147.14cm²
  4. 4. Ratio

    a:b is 9:8 and b:c is 5:1. Find a:b:c in its simplest form.

    Answer: 45:40:8
  5. 5. Statistics

    Find the mean, median and range of: 30, 85, 67, 34, 56, 98, 92, 46

    Answer: Mean = 63.5, Median = 61.5, Range = 68

Thursday 12 January 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √150

    Answer: 5√6
  2. 2. Algebra

    Complete the square: 2x² - 24x - 3

    Answer: 2(x - 6)² - 75
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 17cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 211.29cm²
  4. 4. Ratio

    a:b is 2:7 and b:c is 4:7. Find a:b:c in its simplest form.

    Answer: 8:28:49
  5. 5. Statistics

    Find the mean, median and range of: 58, 11, 20, 17, 93, 31, 10, 66, 33. Give your answer to 2 decimal places

    Answer: Mean = 37.67, Median = 31, Range = 83

Friday 13 January 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √72

    Answer: 6√2
  2. 2. Algebra

    Complete the square: 2x² - 20x + 14

    Answer: 2(x - 5)² - 36
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 26cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 225.17cm²
  4. 4. Ratio

    a:b is 8:7 and b:c is 2:5. Find a:b:c in its simplest form.

    Answer: 16:14:35
  5. 5. Statistics

    Find the mean, median and range of: 33, 29, 24, 74, 90, 23, 73, 99. Give your answer to 2 decimal places

    Answer: Mean = 55.63, Median = 53, Range = 76