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Capstone Jan 1 - 7 25 questions
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Monday 1 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √600

    Answer: 10√6
  2. 2. Algebra

    Complete the square: x² + 11x - 1

    Answer: (x + 11⁄2)² - 125⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 26cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 347.49cm²
  4. 4. Ratio

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

    Answer: 10:45:81
  5. 5. Statistics

    Find the mean, median and range of: 10, 100, 52, 34, 84, 28, 35, 61, 24. Give your answer to 2 decimal places

    Answer: Mean = 47.56, Median = 35, Range = 90

Tuesday 2 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √500

    Answer: 10√5
  2. 2. Algebra

    Complete the square: x² + 3x - 7

    Answer: (x + 3⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 18cm, angle = 49°. Give your answer to 2 decimal places

    Answer: 115.47cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 7:2. Find a:b:c in its simplest form.

    Answer: 7:14:4
  5. 5. Statistics

    Find the mean, median and range of: 19, 68, 55, 35, 95, 44, 60, 21. Give your answer to 2 decimal places

    Answer: Mean = 49.63, Median = 49.5, Range = 76

Wednesday 3 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √833

    Answer: 7√17
  2. 2. Algebra

    Complete the square: x² - x + 2

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

    Find area of triangle: a = 29cm, b = 22cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 276.26cm²
  4. 4. Ratio

    a:b is 7:4 and b:c is 5:6. Find a:b:c in its simplest form.

    Answer: 35:20:24
  5. 5. Statistics

    Find the mean, median and range of: 99, 20, 68, 68, 58, 43, 71, 33, 57. Give your answer to 2 decimal places

    Answer: Mean = 57.44, Median = 58, Range = 79

Thursday 4 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √160

    Answer: 4√10
  2. 2. Algebra

    Complete the square: x² - x + 9

    Answer: (x - 1⁄2)² + 35⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 15cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 126.4cm²
  4. 4. Ratio

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

    Answer: 81:18:16
  5. 5. Statistics

    Find the mean, median and range of: 78, 57, 62, 13, 66, 79, 93, 51, 66. Give your answer to 2 decimal places

    Answer: Mean = 62.78, Median = 66, Range = 80

Friday 5 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √539

    Answer: 7√11
  2. 2. Algebra

    Complete the square: x² - 5x + 6

    Answer: (x - 5⁄2)² - 1⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 24cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 283.68cm²
  4. 4. Ratio

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

    Answer: 14:63:72
  5. 5. Statistics

    Find the mean, median and range of: 57, 66, 64, 96, 54, 39, 69. Give your answer to 2 decimal places

    Answer: Mean = 63.57, Median = 64, Range = 57