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Capstone Jan 23 - 29 25 questions
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Monday 23 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 - 5x + 12

    Answer: (x - 5⁄2)² + 23⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 14cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 96.51cm²
  4. 4. Ratio

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

    Answer: 56:72:27
  5. 5. Statistics

    Find the mean, median and range of: 70, 61, 96, 87, 70, 91, 85, 38, 71. Give your answer to 2 decimal places

    Answer: Mean = 74.33, Median = 71, Range = 58

Tuesday 24 January 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√48

    Answer: 12√3
  2. 2. Algebra

    Complete the square: x² - 9x - 9

    Answer: (x - 9⁄2)² - 117⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 29cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 219.36cm²
  4. 4. Ratio

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

    Answer: 8:14:35
  5. 5. Statistics

    Find the mean, median and range of: 76, 70, 92, 61, 56, 92, 65. Give your answer to 2 decimal places

    Answer: Mean = 73.14, Median = 70, Range = 36

Wednesday 25 January 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √245

    Answer: 7√5
  2. 2. Algebra

    Complete the square: x² + 3x - 10

    Answer: (x + 3⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 28cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 158.39cm²
  4. 4. Ratio

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

    Answer: 14:10:25
  5. 5. Statistics

    Find the mean, median and range of: 45, 24, 74, 71, 81, 31, 37, 16. Give your answer to 2 decimal places

    Answer: Mean = 47.38, Median = 41, Range = 65

Thursday 26 January 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √396

    Answer: 6√11
  2. 2. Algebra

    Complete the square: x² + x + 4

    Answer: (x + 1⁄2)² + 15⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 16cm, angle = 56°. Give your answer to 2 decimal places

    Answer: 126.01cm²
  4. 4. Ratio

    a:b is 7:9 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 49:63:54
  5. 5. Statistics

    Find the mean, median and range of: 68, 73, 49, 83, 87, 74, 53, 70. Give your answer to 2 decimal places

    Answer: Mean = 69.63, Median = 71.5, Range = 38

Friday 27 January 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √294

    Answer: 7√6
  2. 2. Algebra

    Complete the square: x² + 7x + 7

    Answer: (x + 7⁄2)² - 21⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 12cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 134.98cm²
  4. 4. Ratio

    a:b is 1:3 and b:c is 5:9. Find a:b:c in its simplest form.

    Answer: 5:15:27
  5. 5. Statistics

    Find the mean, median and range of: 30, 89, 88, 72, 52, 47, 35

    Answer: Mean = 59, Median = 52, Range = 59