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Capstone Sep 5 - 11 25 questions
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Monday 5 September 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√8

    Answer: 4√2
  2. 2. Algebra

    Complete the square: x² - 11x - 5

    Answer: (x - 11⁄2)² - 141⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 18cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 256.79cm²
  4. 4. Ratio

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

    Answer: 14:35:20
  5. 5. Statistics

    Find the mean, median and range of: 52, 19, 78, 96, 58, 98, 94, 18. Give your answer to 2 decimal places

    Answer: Mean = 64.13, Median = 68, Range = 80

Tuesday 6 September 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √405

    Answer: 9√5
  2. 2. Algebra

    Complete the square: 3x² + 6x + 4

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

    Find area of triangle: a = 25cm, b = 28cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 286.7cm²
  4. 4. Ratio

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

    Answer: 40:24:15
  5. 5. Statistics

    Find the mean, median and range of: 12, 98, 86, 35, 90, 30, 30. Give your answer to 2 decimal places

    Answer: Mean = 54.43, Median = 35, Range = 86

Wednesday 7 September 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√275

    Answer: 10√11
  2. 2. Algebra

    Complete the square: 3x² + 18x + 15

    Answer: 3(x + 3)² - 12
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 13cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 162.45cm²
  4. 4. Ratio

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

    Answer: 24:15:25
  5. 5. Statistics

    Find the mean, median and range of: 86, 57, 10, 63, 19, 98, 61. Give your answer to 2 decimal places

    Answer: Mean = 56.29, Median = 61, Range = 88

Thursday 8 September 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√80

    Answer: 12√5
  2. 2. Algebra

    Complete the square: 3x² - 36x - 3

    Answer: 3(x - 6)² - 111
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 25cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 178.32cm²
  4. 4. Ratio

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

    Answer: 35:21:9
  5. 5. Statistics

    Find the mean, median and range of: 50, 41, 84, 86, 41, 91, 46, 47

    Answer: Mean = 60.75, Median = 48.5, Range = 50

Friday 9 September 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√125

    Answer: 10√5
  2. 2. Algebra

    Complete the square: x² + 9x + 5

    Answer: (x + 9⁄2)² - 61⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 18cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 85.11cm²
  4. 4. Ratio

    a:b is 7:5 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 63:45:20
  5. 5. Statistics

    Find the mean, median and range of: 18, 54, 38, 86, 12, 76, 93, 52, 83. Give your answer to 2 decimal places

    Answer: Mean = 56.89, Median = 54, Range = 81