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Capstone Mar 20 - 26 25 questions
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Monday 20 March 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √208

    Answer: 4√13
  2. 2. Algebra

    Complete the square: 3x² - 24x - 11

    Answer: 3(x - 4)² - 59
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 21cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 153.17cm²
  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: 23, 52, 45, 54, 77, 100, 63, 53, 56. Give your answer to 2 decimal places

    Answer: Mean = 58.11, Median = 54, Range = 77

Tuesday 21 March 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 7x + 12

    Answer: (x + 7⁄2)² - 1⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 18cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 150.41cm²
  4. 4. Ratio

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

    Answer: 12:21:35
  5. 5. Statistics

    Find the mean, median and range of: 90, 12, 58, 85, 71, 13, 70, 44. Give your answer to 2 decimal places

    Answer: Mean = 55.38, Median = 64, Range = 78

Wednesday 22 March 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √216

    Answer: 6√6
  2. 2. Algebra

    Complete the square: 4x² + 40x - 11

    Answer: 4(x + 5)² - 111
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 24cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 141.38cm²
  4. 4. Ratio

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

    Answer: 9:15:10
  5. 5. Statistics

    Find the mean, median and range of: 88, 55, 71, 47, 14, 16, 47, 100

    Answer: Mean = 54.75, Median = 51, Range = 86

Thursday 23 March 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √704

    Answer: 8√11
  2. 2. Algebra

    Complete the square: x² - 3x - 2

    Answer: (x - 3⁄2)² - 17⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 21cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 247.37cm²
  4. 4. Ratio

    a:b is 7:8 and b:c is 5:9. Find a:b:c in its simplest form.

    Answer: 35:40:72
  5. 5. Statistics

    Find the mean, median and range of: 26, 63, 79, 64, 34, 94, 18, 37, 38. Give your answer to 2 decimal places

    Answer: Mean = 50.33, Median = 38, Range = 76

Friday 24 March 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√48

    Answer: 20√3
  2. 2. Algebra

    Complete the square: 3x² + 18x - 14

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

    Find area of triangle: a = 25cm, b = 27cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 320.98cm²
  4. 4. Ratio

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

    Answer: 12:28:49
  5. 5. Statistics

    Find the mean, median and range of: 86, 86, 24, 90, 26, 42, 21, 74. Give your answer to 2 decimal places

    Answer: Mean = 56.13, Median = 58, Range = 69