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Capstone Aug 15 - 21 25 questions
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Monday 15 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √891

    Answer: 9√11
  2. 2. Algebra

    Complete the square: x² + 9x + 3

    Answer: (x + 9⁄2)² - 69⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 30cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 240.89cm²
  4. 4. Ratio

    a:b is 9:5 and b:c is 4:5. Find a:b:c in its simplest form.

    Answer: 36:20:25
  5. 5. Statistics

    Find the mean, median and range of: 31, 38, 70, 22, 19, 22, 38, 24

    Answer: Mean = 33, Median = 27.5, Range = 51

Tuesday 16 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √375

    Answer: 5√15
  2. 2. Algebra

    Complete the square: 3x² - 24x + 10

    Answer: 3(x - 4)² - 38
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 27cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 167.83cm²
  4. 4. Ratio

    a:b is 2:5 and b:c is 3:8. Find a:b:c in its simplest form.

    Answer: 6:15:40
  5. 5. Statistics

    Find the mean, median and range of: 15, 16, 26, 28, 52, 76, 51. Give your answer to 2 decimal places

    Answer: Mean = 37.71, Median = 28, Range = 61

Wednesday 17 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √432

    Answer: 12√3
  2. 2. Algebra

    Complete the square: 3x² + 30x + 4

    Answer: 3(x + 5)² - 71
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 13cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 160.73cm²
  4. 4. Ratio

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

    Answer: 4:6:15
  5. 5. Statistics

    Find the mean, median and range of: 67, 75, 47, 33, 73, 80, 97. Give your answer to 2 decimal places

    Answer: Mean = 67.43, Median = 73, Range = 64

Thursday 18 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √567

    Answer: 9√7
  2. 2. Algebra

    Complete the square: x² - x - 2

    Answer: (x - 1⁄2)² - 9⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 16cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 134.82cm²
  4. 4. Ratio

    a:b is 9:8 and b:c is 3:7. Find a:b:c in its simplest form.

    Answer: 27:24:56
  5. 5. Statistics

    Find the mean, median and range of: 63, 48, 89, 71, 44, 33, 99. Give your answer to 2 decimal places

    Answer: Mean = 63.86, Median = 63, Range = 66

Friday 19 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √175

    Answer: 5√7
  2. 2. Algebra

    Complete the square: 4x² + 24x - 15

    Answer: 4(x + 3)² - 51
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 21cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 266.32cm²
  4. 4. Ratio

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

    Answer: 16:56:49
  5. 5. Statistics

    Find the mean, median and range of: 60, 72, 62, 16, 60, 27, 54, 59

    Answer: Mean = 51.25, Median = 59.5, Range = 56