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Capstone Feb 19 - 25 25 questions
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Monday 19 February 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √300

    Answer: 10√3
  2. 2. Algebra

    Complete the square: 5x² + 60x + 13

    Answer: 5(x + 6)² - 167
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 20cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 215.71cm²
  4. 4. Ratio

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

    Answer: 56:35:25
  5. 5. Statistics

    Find the mean, median and range of: 90, 32, 63, 43, 66, 63, 48, 93

    Answer: Mean = 62.25, Median = 63, Range = 61

Tuesday 20 February 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√250

    Answer: 25√10
  2. 2. Algebra

    Complete the square: 4x² - 16x - 4

    Answer: 4(x - 2)² - 20
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 14cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 112.52cm²
  4. 4. Ratio

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

    Answer: 35:20:8
  5. 5. Statistics

    Find the mean, median and range of: 41, 63, 92, 27, 37, 84, 42, 80

    Answer: Mean = 58.25, Median = 52.5, Range = 65

Wednesday 21 February 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 11x - 3

    Answer: (x + 11⁄2)² - 133⁄4
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 18cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 165.32cm²
  4. 4. Ratio

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

    Answer: 21:56:24
  5. 5. Statistics

    Find the mean, median and range of: 47, 17, 24, 83, 42, 97, 42, 14

    Answer: Mean = 45.75, Median = 42, Range = 83

Thursday 22 February 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² - x - 6

    Answer: (x - 1⁄2)² - 25⁄4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 23cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 190.3cm²
  4. 4. Ratio

    a:b is 9:8 and b:c is 3:1. Find a:b:c in its simplest form.

    Answer: 27:24:8
  5. 5. Statistics

    Find the mean, median and range of: 69, 22, 33, 37, 67, 53, 55, 87, 96. Give your answer to 2 decimal places

    Answer: Mean = 57.67, Median = 55, Range = 74

Friday 23 February 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: 3x² - 18x + 8

    Answer: 3(x - 3)² - 19
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 14cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 105.67cm²
  4. 4. Ratio

    a:b is 3:8 and b:c is 5:6. Find a:b:c in its simplest form.

    Answer: 15:40:48
  5. 5. Statistics

    Find the mean, median and range of: 71, 62, 18, 87, 90, 23, 18, 89

    Answer: Mean = 57.25, Median = 66.5, Range = 72