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Capstone Dec 12 - 18 25 questions
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Monday 12 December 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√40

    Answer: 8√10
  2. 2. Algebra

    Complete the square: x² + 11x - 1

    Answer: (x + 11⁄2)² - 125⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 26cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 324.33cm²
  4. 4. Ratio

    a:b is 7:5 and b:c is 3:2. Find a:b:c in its simplest form.

    Answer: 21:15:10
  5. 5. Statistics

    Find the mean, median and range of: 92, 74, 42, 40, 19, 82, 80. Give your answer to 2 decimal places

    Answer: Mean = 61.29, Median = 74, Range = 73

Tuesday 13 December 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√275

    Answer: 10√11
  2. 2. Algebra

    Complete the square: x² - 7x + 10

    Answer: (x - 7⁄2)² - 9⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 23cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 236.58cm²
  4. 4. Ratio

    a:b is 1:3 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 7:21:18
  5. 5. Statistics

    Find the mean, median and range of: 24, 99, 70, 42, 30, 90, 78, 42. Give your answer to 2 decimal places

    Answer: Mean = 59.38, Median = 56, Range = 75

Wednesday 14 December 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√160

    Answer: 16√10
  2. 2. Algebra

    Complete the square: x² + 11x

    Answer: (x + 11⁄2)² - 121⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 12cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 119.5cm²
  4. 4. Ratio

    a:b is 9:4 and b:c is 6:5. Find a:b:c in its simplest form.

    Answer: 27:12:10
  5. 5. Statistics

    Find the mean, median and range of: 83, 31, 56, 30, 54, 26, 83, 20. Give your answer to 2 decimal places

    Answer: Mean = 47.88, Median = 42.5, Range = 63

Thursday 15 December 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√20

    Answer: 6√5
  2. 2. Algebra

    Complete the square: x² - 11x + 9

    Answer: (x - 11⁄2)² - 85⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 12cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 70.69cm²
  4. 4. Ratio

    a:b is 5:7 and b:c is 4:1. Find a:b:c in its simplest form.

    Answer: 20:28:7
  5. 5. Statistics

    Find the mean, median and range of: 31, 66, 52, 73, 84, 46, 65, 92. Give your answer to 2 decimal places

    Answer: Mean = 63.63, Median = 65.5, Range = 61

Friday 16 December 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √175

    Answer: 5√7
  2. 2. Algebra

    Complete the square: 2x² - 8x + 6

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

    Find area of triangle: a = 15cm, b = 28cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 199.72cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 9:2. Find a:b:c in its simplest form.

    Answer: 27:36:8
  5. 5. Statistics

    Find the mean, median and range of: 28, 83, 98, 95, 90, 67, 89, 43. Give your answer to 2 decimal places

    Answer: Mean = 74.13, Median = 86, Range = 70