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Capstone Apr 24 - 30 25 questions
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Monday 24 April 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √48

    Answer: 4√3
  2. 2. Algebra

    Complete the square: 2x² - 20x + 5

    Answer: 2(x - 5)² - 45
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 24cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 211.4cm²
  4. 4. Ratio

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

    Answer: 25:10:2
  5. 5. Statistics

    Find the mean, median and range of: 96, 25, 38, 33, 46, 34, 33, 35

    Answer: Mean = 42.5, Median = 34.5, Range = 71

Tuesday 25 April 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√27

    Answer: 15√3
  2. 2. Algebra

    Complete the square: x² + 7x + 6

    Answer: (x + 7⁄2)² - 25⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 29cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 364.16cm²
  4. 4. Ratio

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

    Answer: 64:40:5
  5. 5. Statistics

    Find the mean, median and range of: 90, 97, 20, 12, 12, 91, 97, 21

    Answer: Mean = 55, Median = 55.5, Range = 85

Wednesday 26 April 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √300

    Answer: 10√3
  2. 2. Algebra

    Complete the square: x² + 11x - 10

    Answer: (x + 11⁄2)² - 161⁄4
  3. 3. Geometry

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

    Answer: 150.63cm²
  4. 4. Ratio

    a:b is 3:8 and b:c is 6:7. Find a:b:c in its simplest form.

    Answer: 9:24:28
  5. 5. Statistics

    Find the mean, median and range of: 45, 81, 67, 61, 37, 56, 88. Give your answer to 2 decimal places

    Answer: Mean = 62.14, Median = 61, Range = 51

Thursday 27 April 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √832

    Answer: 8√13
  2. 2. Algebra

    Complete the square: 3x² + 18x + 6

    Answer: 3(x + 3)² - 21
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 23cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 141.17cm²
  4. 4. Ratio

    a:b is 2:7 and b:c is 4:5. Find a:b:c in its simplest form.

    Answer: 8:28:35
  5. 5. Statistics

    Find the mean, median and range of: 66, 78, 64, 49, 11, 33, 43, 71, 55. Give your answer to 2 decimal places

    Answer: Mean = 52.22, Median = 55, Range = 67

Friday 28 April 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: 2x² - 16x + 12

    Answer: 2(x - 4)² - 20
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 14cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 70.26cm²
  4. 4. Ratio

    a:b is 5:6 and b:c is 7:4. Find a:b:c in its simplest form.

    Answer: 35:42:24
  5. 5. Statistics

    Find the mean, median and range of: 100, 89, 86, 60, 65, 69, 60, 16. Give your answer to 2 decimal places

    Answer: Mean = 68.13, Median = 67, Range = 84