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Capstone Jul 11 - 17 25 questions
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Monday 11 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √637

    Answer: 7√13
  2. 2. Algebra

    Complete the square: 2x² + 4x + 14

    Answer: 2(x + 1)² + 12
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 14cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 114.68cm²
  4. 4. Ratio

    a:b is 4:5 and b:c is 7:3. Find a:b:c in its simplest form.

    Answer: 28:35:15
  5. 5. Statistics

    Find the mean, median and range of: 65, 74, 89, 71, 74, 32, 61, 50

    Answer: Mean = 64.5, Median = 68, Range = 57

Tuesday 12 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √684

    Answer: 6√19
  2. 2. Algebra

    Complete the square: x² - 3x + 11

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

    Find area of triangle: a = 28cm, b = 18cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 244.51cm²
  4. 4. Ratio

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

    Answer: 63:14:18
  5. 5. Statistics

    Find the mean, median and range of: 62, 98, 12, 88, 49, 33, 95, 91

    Answer: Mean = 66, Median = 75, Range = 86

Wednesday 13 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: 4x² - 40x - 8

    Answer: 4(x - 5)² - 108
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 14cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 119.14cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 7:1. Find a:b:c in its simplest form.

    Answer: 28:21:3
  5. 5. Statistics

    Find the mean, median and range of: 76, 29, 15, 44, 51, 18, 65. Give your answer to 2 decimal places

    Answer: Mean = 42.57, Median = 44, Range = 61

Thursday 14 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√24

    Answer: 8√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 = 23cm, b = 16cm, angle = 41°. Give your answer to 2 decimal places

    Answer: 120.71cm²
  4. 4. Ratio

    a:b is 7:5 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 63:45:20
  5. 5. Statistics

    Find the mean, median and range of: 76, 14, 62, 78, 18, 75, 74, 91, 24. Give your answer to 2 decimal places

    Answer: Mean = 56.89, Median = 74, Range = 77

Friday 15 July 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √735

    Answer: 7√15
  2. 2. Algebra

    Complete the square: x² - 5x + 1

    Answer: (x - 5⁄2)² - 21⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 17cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 96.65cm²
  4. 4. Ratio

    a:b is 2:7 and b:c is 5:8. Find a:b:c in its simplest form.

    Answer: 10:35:56
  5. 5. Statistics

    Find the mean, median and range of: 62, 35, 51, 73, 75, 10, 95. Give your answer to 2 decimal places

    Answer: Mean = 57.29, Median = 62, Range = 85