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Capstone Dec 4 - 10 25 questions
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Monday 4 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √1000

    Answer: 10√10
  2. 2. Algebra

    Complete the square: x² + 11x - 12

    Answer: (x + 11⁄2)² - 169⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 25cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 324.51cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 7:2. Find a:b:c in its simplest form.

    Answer: 7:35:10
  5. 5. Statistics

    Find the mean, median and range of: 13, 51, 26, 69, 11, 24, 88, 64, 82. Give your answer to 2 decimal places

    Answer: Mean = 47.56, Median = 51, Range = 77

Tuesday 5 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √500

    Answer: 10√5
  2. 2. Algebra

    Complete the square: 2x² - 16x - 9

    Answer: 2(x - 4)² - 41
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 23cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 207.25cm²
  4. 4. Ratio

    a:b is 1:3 and b:c is 4:3. Find a:b:c in its simplest form.

    Answer: 4:12:9
  5. 5. Statistics

    Find the mean, median and range of: 69, 78, 22, 72, 35, 98, 22. Give your answer to 2 decimal places

    Answer: Mean = 56.57, Median = 69, Range = 76

Wednesday 6 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√45

    Answer: 12√5
  2. 2. Algebra

    Complete the square: 5x² + 10x + 7

    Answer: 5(x + 1)² + 2
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 21cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 259.59cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 9:2. Find a:b:c in its simplest form.

    Answer: 9:45:10
  5. 5. Statistics

    Find the mean, median and range of: 11, 25, 86, 95, 27, 56, 44, 59. Give your answer to 2 decimal places

    Answer: Mean = 50.38, Median = 50, Range = 84

Thursday 7 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √832

    Answer: 8√13
  2. 2. Algebra

    Complete the square: 5x² + 50x + 13

    Answer: 5(x + 5)² - 112
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 18cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 165.17cm²
  4. 4. Ratio

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

    Answer: 40:35:56
  5. 5. Statistics

    Find the mean, median and range of: 52, 66, 21, 78, 73, 80, 85

    Answer: Mean = 65, Median = 73, Range = 64

Friday 8 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √396

    Answer: 6√11
  2. 2. Algebra

    Complete the square: x² + 5x - 5

    Answer: (x + 5⁄2)² - 45⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 23cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 302.54cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 2:5. Find a:b:c in its simplest form.

    Answer: 8:6:15
  5. 5. Statistics

    Find the mean, median and range of: 28, 74, 87, 93, 45, 37, 17. Give your answer to 2 decimal places

    Answer: Mean = 54.43, Median = 45, Range = 76