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Capstone Feb 16 - 22 25 questions
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Monday 16 February 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√45

    Answer: 15√5
  2. 2. Algebra

    Complete the square: 4x² + 24x - 10

    Answer: 4(x + 3)² - 46
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 27cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 234.86cm²
  4. 4. Ratio

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

    Answer: 15:10:6
  5. 5. Statistics

    Find the mean, median and range of: 38, 94, 79, 98, 55, 91, 64, 12. Give your answer to 2 decimal places

    Answer: Mean = 66.38, Median = 71.5, Range = 86

Tuesday 17 February 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √810

    Answer: 9√10
  2. 2. Algebra

    Complete the square: 5x² + 20x - 13

    Answer: 5(x + 2)² - 33
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 18cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 121.49cm²
  4. 4. Ratio

    a:b is 9:2 and b:c is 5:3. Find a:b:c in its simplest form.

    Answer: 45:10:6
  5. 5. Statistics

    Find the mean, median and range of: 70, 38, 98, 53, 38, 26, 40. Give your answer to 2 decimal places

    Answer: Mean = 51.86, Median = 40, Range = 72

Wednesday 18 February 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √756

    Answer: 6√21
  2. 2. Algebra

    Complete the square: 3x² + 36x + 5

    Answer: 3(x + 6)² - 103
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 26cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 204.66cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 7:4. Find a:b:c in its simplest form.

    Answer: 7:28:16
  5. 5. Statistics

    Find the mean, median and range of: 33, 78, 67, 56, 44, 70, 32. Give your answer to 2 decimal places

    Answer: Mean = 54.29, Median = 56, Range = 46

Thursday 19 February 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√63

    Answer: 6√7
  2. 2. Algebra

    Complete the square: 2x² - 12x - 15

    Answer: 2(x - 3)² - 33
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 14cm, angle = 56°. Give your answer to 2 decimal places

    Answer: 87.05cm²
  4. 4. Ratio

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

    Answer: 9:15:40
  5. 5. Statistics

    Find the mean, median and range of: 87, 23, 94, 100, 64, 78, 62. Give your answer to 2 decimal places

    Answer: Mean = 72.57, Median = 78, Range = 77

Friday 20 February 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √80

    Answer: 4√5
  2. 2. Algebra

    Complete the square: x² - 5x + 1

    Answer: (x - 5⁄2)² - 21⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 19cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 220.02cm²
  4. 4. Ratio

    a:b is 4:7 and b:c is 9:1. Find a:b:c in its simplest form.

    Answer: 36:63:7
  5. 5. Statistics

    Find the mean, median and range of: 46, 87, 89, 97, 16, 23, 32, 91. Give your answer to 2 decimal places

    Answer: Mean = 60.13, Median = 66.5, Range = 81