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Capstone Feb 8 - 14 25 questions
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Monday 8 February 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: 2x² + 20x + 11

    Answer: 2(x + 5)² - 39
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 21cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 222.3cm²
  4. 4. Ratio

    a:b is 8:5 and b:c is 6:5. Find a:b:c in its simplest form.

    Answer: 48:30:25
  5. 5. Statistics

    Find the mean, median and range of: 33, 53, 65, 56, 31, 12, 18, 55. Give your answer to 2 decimal places

    Answer: Mean = 40.38, Median = 43, Range = 53

Tuesday 9 February 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √550

    Answer: 5√22
  2. 2. Algebra

    Complete the square: x² - 9x + 10

    Answer: (x - 9⁄2)² - 41⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 15cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 198.56cm²
  4. 4. Ratio

    a:b is 4:7 and b:c is 8:7. Find a:b:c in its simplest form.

    Answer: 32:56:49
  5. 5. Statistics

    Find the mean, median and range of: 30, 68, 55, 23, 100, 66, 48, 70, 67. Give your answer to 2 decimal places

    Answer: Mean = 58.56, Median = 66, Range = 77

Wednesday 10 February 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √500

    Answer: 10√5
  2. 2. Algebra

    Complete the square: 4x² + 48x + 9

    Answer: 4(x + 6)² - 135
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 25cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 192.38cm²
  4. 4. Ratio

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

    Answer: 28:35:45
  5. 5. Statistics

    Find the mean, median and range of: 81, 52, 14, 65, 28, 72, 24, 38, 68. Give your answer to 2 decimal places

    Answer: Mean = 49.11, Median = 52, Range = 67

Thursday 11 February 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √352

    Answer: 4√22
  2. 2. Algebra

    Complete the square: x² + 7x + 10

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

    Find area of triangle: a = 20cm, b = 23cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 197.15cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 5:7. Find a:b:c in its simplest form.

    Answer: 20:15:21
  5. 5. Statistics

    Find the mean, median and range of: 70, 25, 89, 97, 91, 65, 76, 18, 44. Give your answer to 2 decimal places

    Answer: Mean = 63.89, Median = 70, Range = 79

Friday 12 February 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √176

    Answer: 4√11
  2. 2. Algebra

    Complete the square: x² + 11x + 1

    Answer: (x + 11⁄2)² - 117⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 21cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 170.77cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 3:4. Find a:b:c in its simplest form.

    Answer: 18:15:20
  5. 5. Statistics

    Find the mean, median and range of: 73, 66, 62, 55, 89, 88, 56. Give your answer to 2 decimal places

    Answer: Mean = 69.86, Median = 66, Range = 34