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Capstone Oct 31 - Nov 6 25 questions
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Monday 31 October 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √504

    Answer: 6√14
  2. 2. Algebra

    Complete the square: 2x² - 24x + 3

    Answer: 2(x - 6)² - 69
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 13cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 115.76cm²
  4. 4. Ratio

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

    Answer: 63:28:4
  5. 5. Statistics

    Find the mean, median and range of: 94, 18, 46, 48, 72, 10, 92. Give your answer to 2 decimal places

    Answer: Mean = 54.29, Median = 48, Range = 84

Tuesday 1 November 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √1000

    Answer: 10√10
  2. 2. Algebra

    Complete the square: x² - x - 6

    Answer: (x - 1⁄2)² - 25⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 24cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 216.8cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 7:9. Find a:b:c in its simplest form.

    Answer: 7:35:45
  5. 5. Statistics

    Find the mean, median and range of: 81, 86, 18, 70, 13, 30, 42. Give your answer to 2 decimal places

    Answer: Mean = 48.57, Median = 42, Range = 73

Wednesday 2 November 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √48

    Answer: 4√3
  2. 2. Algebra

    Complete the square: x² - 9x - 10

    Answer: (x - 9⁄2)² - 121⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 27cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 276.83cm²
  4. 4. Ratio

    a:b is 4:9 and b:c is 2:5. Find a:b:c in its simplest form.

    Answer: 8:18:45
  5. 5. Statistics

    Find the mean, median and range of: 77, 99, 30, 57, 61, 97, 43, 63. Give your answer to 2 decimal places

    Answer: Mean = 65.88, Median = 62, Range = 69

Thursday 3 November 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√40

    Answer: 8√10
  2. 2. Algebra

    Complete the square: 3x² + 6x + 8

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

    Find area of triangle: a = 13cm, b = 25cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 136.28cm²
  4. 4. Ratio

    a:b is 5:7 and b:c is 9:2. Find a:b:c in its simplest form.

    Answer: 45:63:14
  5. 5. Statistics

    Find the mean, median and range of: 63, 87, 43, 80, 97, 74, 37, 80. Give your answer to 2 decimal places

    Answer: Mean = 70.13, Median = 77, Range = 60

Friday 4 November 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√275

    Answer: 10√11
  2. 2. Algebra

    Complete the square: 2x² - 4x + 6

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

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

    Answer: 302.54cm²
  4. 4. Ratio

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

    Answer: 49:35:10
  5. 5. Statistics

    Find the mean, median and range of: 54, 92, 43, 61, 73, 90, 11. Give your answer to 2 decimal places

    Answer: Mean = 60.57, Median = 61, Range = 81