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Capstone Jan 12 - 18 25 questions
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Monday 12 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √931

    Answer: 7√19
  2. 2. Algebra

    Complete the square: 5x² + 50x - 9

    Answer: 5(x + 5)² - 134
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 28cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 187.55cm²
  4. 4. Ratio

    a:b is 1:6 and b:c is 9:1. Find a:b:c in its simplest form.

    Answer: 3:18:2
  5. 5. Statistics

    Find the mean, median and range of: 17, 82, 26, 59, 36, 72, 67, 90. Give your answer to 2 decimal places

    Answer: Mean = 56.13, Median = 63, Range = 73

Tuesday 13 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√44

    Answer: 4√11
  2. 2. Algebra

    Complete the square: 2x² - 8x + 14

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

    Find area of triangle: a = 15cm, b = 23cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 152.31cm²
  4. 4. Ratio

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

    Answer: 28:35:20
  5. 5. Statistics

    Find the mean, median and range of: 30, 37, 55, 77, 18, 24, 25, 81. Give your answer to 2 decimal places

    Answer: Mean = 43.38, Median = 33.5, Range = 63

Wednesday 14 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √600

    Answer: 10√6
  2. 2. Algebra

    Complete the square: x² - x - 8

    Answer: (x - 1⁄2)² - 33⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 25cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 125.8cm²
  4. 4. Ratio

    a:b is 4:9 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 28:63:72
  5. 5. Statistics

    Find the mean, median and range of: 14, 11, 70, 36, 97, 73, 84, 33, 62. Give your answer to 2 decimal places

    Answer: Mean = 53.33, Median = 62, Range = 86

Thursday 15 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √384

    Answer: 8√6
  2. 2. Algebra

    Complete the square: x² - 3x - 3

    Answer: (x - 3⁄2)² - 21⁄4
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 27cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 317.02cm²
  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: 61, 44, 85, 84, 98, 17, 71, 54, 50. Give your answer to 2 decimal places

    Answer: Mean = 62.67, Median = 61, Range = 81

Friday 16 January 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√63

    Answer: 12√7
  2. 2. Algebra

    Complete the square: 4x² - 16x + 2

    Answer: 4(x - 2)² - 14
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 22cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 229.24cm²
  4. 4. Ratio

    a:b is 2:7 and b:c is 8:9. Find a:b:c in its simplest form.

    Answer: 16:56:63
  5. 5. Statistics

    Find the mean, median and range of: 53, 77, 10, 92, 35, 64, 73, 51, 95. Give your answer to 2 decimal places

    Answer: Mean = 61.11, Median = 64, Range = 85