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Capstone Feb 5 - 11 25 questions
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Monday 5 February 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √600

    Answer: 10√6
  2. 2. Algebra

    Complete the square: x² + x + 5

    Answer: (x + 1⁄2)² + 19⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 22cm, angle = 46°. Give your answer to 2 decimal places

    Answer: 102.87cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 9:5. Find a:b:c in its simplest form.

    Answer: 9:18:10
  5. 5. Statistics

    Find the mean, median and range of: 72, 89, 74, 61, 69, 17, 45, 83, 24. Give your answer to 2 decimal places

    Answer: Mean = 59.33, Median = 69, Range = 72

Tuesday 6 February 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √931

    Answer: 7√19
  2. 2. Algebra

    Complete the square: x² - x - 5

    Answer: (x - 1⁄2)² - 21⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 22cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 258.23cm²
  4. 4. Ratio

    a:b is 2:9 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 14:63:54
  5. 5. Statistics

    Find the mean, median and range of: 53, 14, 48, 46, 60, 78, 48, 58, 75. Give your answer to 2 decimal places

    Answer: Mean = 53.33, Median = 53, Range = 64

Wednesday 7 February 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √32

    Answer: 4√2
  2. 2. Algebra

    Complete the square: 3x² - 18x - 15

    Answer: 3(x - 3)² - 42
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 20cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 200.98cm²
  4. 4. Ratio

    a:b is 9:5 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 63:35:40
  5. 5. Statistics

    Find the mean, median and range of: 62, 25, 30, 74, 22, 35, 26, 47. Give your answer to 2 decimal places

    Answer: Mean = 40.13, Median = 32.5, Range = 52

Thursday 8 February 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √245

    Answer: 7√5
  2. 2. Algebra

    Complete the square: x² - 9x - 9

    Answer: (x - 9⁄2)² - 117⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 12cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 158.93cm²
  4. 4. Ratio

    a:b is 3:5 and b:c is 2:5. Find a:b:c in its simplest form.

    Answer: 6:10:25
  5. 5. Statistics

    Find the mean, median and range of: 11, 29, 27, 22, 88, 16, 51. Give your answer to 2 decimal places

    Answer: Mean = 34.86, Median = 27, Range = 77

Friday 9 February 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √500

    Answer: 10√5
  2. 2. Algebra

    Complete the square: 2x² + 16x + 2

    Answer: 2(x + 4)² - 30
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 23cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 161.04cm²
  4. 4. Ratio

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

    Answer: 81:63:28
  5. 5. Statistics

    Find the mean, median and range of: 53, 77, 33, 85, 70, 23, 29, 86

    Answer: Mean = 57, Median = 61.5, Range = 63