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Capstone May 30 - Jun 5 25 questions
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Monday 30 May 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√50

    Answer: 25√2
  2. 2. Algebra

    Complete the square: x² + x - 11

    Answer: (x + 1⁄2)² - 45⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 27cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 342.58cm²
  4. 4. Ratio

    a:b is 1:8 and b:c is 6:1. Find a:b:c in its simplest form.

    Answer: 3:24:4
  5. 5. Statistics

    Find the mean, median and range of: 34, 49, 28, 51, 75, 47, 94

    Answer: Mean = 54, Median = 49, Range = 66

Tuesday 31 May 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √735

    Answer: 7√15
  2. 2. Algebra

    Complete the square: x² + 11x + 11

    Answer: (x + 11⁄2)² - 77⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 14cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 53.99cm²
  4. 4. Ratio

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

    Answer: 9:24:40
  5. 5. Statistics

    Find the mean, median and range of: 34, 47, 75, 91, 90, 49, 27

    Answer: Mean = 59, Median = 49, Range = 64

Wednesday 1 June 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  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 = 63°. Give your answer to 2 decimal places

    Answer: 301.16cm²
  4. 4. Ratio

    a:b is 7:5 and b:c is 7:3. Find a:b:c in its simplest form.

    Answer: 49:35:15
  5. 5. Statistics

    Find the mean, median and range of: 56, 47, 29, 74, 47, 76, 37. Give your answer to 2 decimal places

    Answer: Mean = 52.29, Median = 47, Range = 47

Thursday 2 June 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √539

    Answer: 7√11
  2. 2. Algebra

    Complete the square: x² - 3x + 9

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

    Find area of triangle: a = 13cm, b = 26cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 156.69cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 4:9. Find a:b:c in its simplest form.

    Answer: 24:28:63
  5. 5. Statistics

    Find the mean, median and range of: 70, 56, 17, 62, 28, 73, 58

    Answer: Mean = 52, Median = 58, Range = 56

Friday 3 June 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √176

    Answer: 4√11
  2. 2. Algebra

    Complete the square: 4x² - 48x - 4

    Answer: 4(x - 6)² - 148
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 27cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 275.09cm²
  4. 4. Ratio

    a:b is 5:8 and b:c is 3:4. Find a:b:c in its simplest form.

    Answer: 15:24:32
  5. 5. Statistics

    Find the mean, median and range of: 10, 79, 17, 54, 18, 70, 24, 59, 27. Give your answer to 2 decimal places

    Answer: Mean = 39.78, Median = 27, Range = 69