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Capstone Jun 5 - 11 25 questions
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Monday 5 June 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √704

    Answer: 8√11
  2. 2. Algebra

    Complete the square: 5x² - 60x + 2

    Answer: 5(x - 6)² - 178
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 21cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 176.cm²
  4. 4. Ratio

    a:b is 7:4 and b:c is 3:2. Find a:b:c in its simplest form.

    Answer: 21:12:8
  5. 5. Statistics

    Find the mean, median and range of: 23, 10, 87, 19, 38, 95, 29, 58, 29. Give your answer to 2 decimal places

    Answer: Mean = 43.11, Median = 29, Range = 85

Tuesday 6 June 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√24

    Answer: 4√6
  2. 2. Algebra

    Complete the square: x² + 7x - 2

    Answer: (x + 7⁄2)² - 57⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 28cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 278.84cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 7:4. Find a:b:c in its simplest form.

    Answer: 7:14:8
  5. 5. Statistics

    Find the mean, median and range of: 62, 28, 39, 48, 95, 63, 100, 65

    Answer: Mean = 62.5, Median = 62.5, Range = 72

Wednesday 7 June 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √112

    Answer: 4√7
  2. 2. Algebra

    Complete the square: x² - 9x - 5

    Answer: (x - 9⁄2)² - 101⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 21cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 148.92cm²
  4. 4. Ratio

    a:b is 9:4 and b:c is 6:1. Find a:b:c in its simplest form.

    Answer: 27:12:2
  5. 5. Statistics

    Find the mean, median and range of: 62, 56, 84, 39, 80, 75, 72. Give your answer to 2 decimal places

    Answer: Mean = 66.86, Median = 72, Range = 45

Thursday 8 June 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √343

    Answer: 7√7
  2. 2. Algebra

    Complete the square: 3x² - 12x + 4

    Answer: 3(x - 2)² - 8
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 20cm, angle = 46°. Give your answer to 2 decimal places

    Answer: 172.64cm²
  4. 4. Ratio

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

    Answer: 81:18:4
  5. 5. Statistics

    Find the mean, median and range of: 98, 82, 19, 100, 59, 61, 64, 11

    Answer: Mean = 61.75, Median = 62.5, Range = 89

Friday 9 June 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√24

    Answer: 6√6
  2. 2. Algebra

    Complete the square: x² + 11x - 6

    Answer: (x + 11⁄2)² - 145⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 23cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 221.83cm²
  4. 4. Ratio

    a:b is 5:9 and b:c is 5:3. Find a:b:c in its simplest form.

    Answer: 25:45:27
  5. 5. Statistics

    Find the mean, median and range of: 35, 62, 64, 51, 44, 67, 48, 83, 42. Give your answer to 2 decimal places

    Answer: Mean = 55.11, Median = 51, Range = 48