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Capstone Jul 25 - 31 25 questions
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Monday 25 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √112

    Answer: 4√7
  2. 2. Algebra

    Complete the square: x² + 11x - 1

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

    Find area of triangle: a = 13cm, b = 16cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 87.22cm²
  4. 4. Ratio

    a:b is 7:5 and b:c is 8:1. Find a:b:c in its simplest form.

    Answer: 56:40:5
  5. 5. Statistics

    Find the mean, median and range of: 70, 97, 83, 38, 13, 10, 44, 39, 82. Give your answer to 2 decimal places

    Answer: Mean = 52.89, Median = 44, Range = 87

Tuesday 26 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √245

    Answer: 7√5
  2. 2. Algebra

    Complete the square: 2x² - 4x + 13

    Answer: 2(x - 1)² + 11
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 27cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 153.17cm²
  4. 4. Ratio

    a:b is 7:4 and b:c is 3:8. Find a:b:c in its simplest form.

    Answer: 21:12:32
  5. 5. Statistics

    Find the mean, median and range of: 96, 96, 22, 71, 78, 75, 94

    Answer: Mean = 76, Median = 78, Range = 74

Wednesday 27 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √176

    Answer: 4√11
  2. 2. Algebra

    Complete the square: x² - 11x + 9

    Answer: (x - 11⁄2)² - 85⁄4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 15cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 131.19cm²
  4. 4. Ratio

    a:b is 4:7 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 20:35:14
  5. 5. Statistics

    Find the mean, median and range of: 28, 24, 78, 36, 43, 89, 18, 84

    Answer: Mean = 50, Median = 39.5, Range = 71

Thursday 28 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √500

    Answer: 10√5
  2. 2. Algebra

    Complete the square: x² - 9x - 5

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

    Find area of triangle: a = 16cm, b = 29cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 185.28cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 6:5. Find a:b:c in its simplest form.

    Answer: 16:18:15
  5. 5. Statistics

    Find the mean, median and range of: 42, 94, 89, 56, 69, 79, 81, 80, 37. Give your answer to 2 decimal places

    Answer: Mean = 69.67, Median = 79, Range = 57

Friday 29 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √600

    Answer: 10√6
  2. 2. Algebra

    Complete the square: 5x² - 40x + 13

    Answer: 5(x - 4)² - 67
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 23cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 219.56cm²
  4. 4. Ratio

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

    Answer: 63:56:32
  5. 5. Statistics

    Find the mean, median and range of: 94, 62, 73, 72, 89, 70, 30

    Answer: Mean = 70, Median = 72, Range = 64