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Capstone Aug 3 - 9 25 questions
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Monday 3 August 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√40

    Answer: 8√10
  2. 2. Algebra

    Complete the square: x² - 5x + 7

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

    Find area of triangle: a = 20cm, b = 21cm, angle = 48°. Give your answer to 2 decimal places

    Answer: 156.06cm²
  4. 4. Ratio

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

    Answer: 5:40:72
  5. 5. Statistics

    Find the mean, median and range of: 90, 83, 23, 73, 19, 37, 22. Give your answer to 2 decimal places

    Answer: Mean = 49.57, Median = 37, Range = 71

Tuesday 4 August 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √792

    Answer: 6√22
  2. 2. Algebra

    Complete the square: x² - 9x - 3

    Answer: (x - 9⁄2)² - 93⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 26cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 247.2cm²
  4. 4. Ratio

    a:b is 5:9 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 35:63:72
  5. 5. Statistics

    Find the mean, median and range of: 69, 28, 13, 84, 51, 54, 92, 17, 85. Give your answer to 2 decimal places

    Answer: Mean = 54.78, Median = 54, Range = 79

Wednesday 5 August 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √48

    Answer: 4√3
  2. 2. Algebra

    Complete the square: 3x² + 36x + 10

    Answer: 3(x + 6)² - 98
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 19cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 216.03cm²
  4. 4. Ratio

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

    Answer: 16:28:35
  5. 5. Statistics

    Find the mean, median and range of: 17, 90, 76, 89, 28, 40, 93. Give your answer to 2 decimal places

    Answer: Mean = 61.86, Median = 76, Range = 76

Thursday 6 August 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √700

    Answer: 10√7
  2. 2. Algebra

    Complete the square: x² + 3x + 9

    Answer: (x + 3⁄2)² + 27⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 12cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 80.75cm²
  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: 81, 19, 18, 32, 42, 86, 50, 65, 63. Give your answer to 2 decimal places

    Answer: Mean = 50.67, Median = 50, Range = 68

Friday 7 August 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√112

    Answer: 8√7
  2. 2. Algebra

    Complete the square: x² + 5x + 8

    Answer: (x + 5⁄2)² + 7⁄4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 17cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 119.44cm²
  4. 4. Ratio

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

    Answer: 25:40:56
  5. 5. Statistics

    Find the mean, median and range of: 31, 55, 96, 66, 22, 33, 85, 93. Give your answer to 2 decimal places

    Answer: Mean = 60.13, Median = 60.5, Range = 74