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Capstone Oct 6 - 12 25 questions
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Monday 6 October 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √360

    Answer: 6√10
  2. 2. Algebra

    Complete the square: x² - 9x - 9

    Answer: (x - 9⁄2)² - 117⁄4
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 21cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 128.24cm²
  4. 4. Ratio

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

    Answer: 25:20:24
  5. 5. Statistics

    Find the mean, median and range of: 35, 69, 79, 78, 75, 81, 71, 94, 47. Give your answer to 2 decimal places

    Answer: Mean = 69.89, Median = 75, Range = 59

Tuesday 7 October 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √504

    Answer: 6√14
  2. 2. Algebra

    Complete the square: 2x² - 16x - 9

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

    Find area of triangle: a = 20cm, b = 30cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 262.39cm²
  4. 4. Ratio

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

    Answer: 12:20:15
  5. 5. Statistics

    Find the mean, median and range of: 11, 67, 19, 99, 18, 65, 38, 77, 68. Give your answer to 2 decimal places

    Answer: Mean = 51.33, Median = 65, Range = 88

Wednesday 8 October 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√44

    Answer: 6√11
  2. 2. Algebra

    Complete the square: 4x² + 16x - 13

    Answer: 4(x + 2)² - 29
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 22cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 145.69cm²
  4. 4. Ratio

    a:b is 3:7 and b:c is 5:8. Find a:b:c in its simplest form.

    Answer: 15:35:56
  5. 5. Statistics

    Find the mean, median and range of: 24, 51, 77, 71, 91, 43, 73, 72, 24. Give your answer to 2 decimal places

    Answer: Mean = 58.44, Median = 71, Range = 67

Thursday 9 October 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: 4x² + 24x - 3

    Answer: 4(x + 3)² - 39
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 20cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 109.27cm²
  4. 4. Ratio

    a:b is 2:9 and b:c is 2:1. Find a:b:c in its simplest form.

    Answer: 4:18:9
  5. 5. Statistics

    Find the mean, median and range of: 58, 29, 38, 36, 16, 36, 88, 61

    Answer: Mean = 45.25, Median = 37, Range = 72

Friday 10 October 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √384

    Answer: 8√6
  2. 2. Algebra

    Complete the square: 2x² + 24x - 1

    Answer: 2(x + 6)² - 73
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 18cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 220.23cm²
  4. 4. Ratio

    a:b is 5:8 and b:c is 3:7. Find a:b:c in its simplest form.

    Answer: 15:24:56
  5. 5. Statistics

    Find the mean, median and range of: 32, 23, 19, 73, 28, 38, 91, 100, 85. Give your answer to 2 decimal places

    Answer: Mean = 54.33, Median = 38, Range = 81