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Capstone Feb 12 - 18 25 questions
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Monday 12 February 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√96

    Answer: 20√6
  2. 2. Algebra

    Complete the square: x² - x - 4

    Answer: (x - 1⁄2)² - 17⁄4
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 22cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 313.85cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 8:7. Find a:b:c in its simplest form.

    Answer: 16:24:21
  5. 5. Statistics

    Find the mean, median and range of: 15, 81, 44, 33, 11, 38, 100

    Answer: Mean = 46, Median = 38, Range = 89

Tuesday 13 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 + 8x + 14

    Answer: 4(x + 1)² + 10
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 16cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 159.78cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 20:15:6
  5. 5. Statistics

    Find the mean, median and range of: 83, 53, 34, 42, 95, 51, 53, 88, 26. Give your answer to 2 decimal places

    Answer: Mean = 58.33, Median = 53, Range = 69

Wednesday 14 February 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √150

    Answer: 5√6
  2. 2. Algebra

    Complete the square: 2x² + 4x - 2

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

    Find area of triangle: a = 13cm, b = 13cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 65.67cm²
  4. 4. Ratio

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

    Answer: 45:35:28
  5. 5. Statistics

    Find the mean, median and range of: 16, 11, 53, 52, 78, 59, 74, 36, 12. Give your answer to 2 decimal places

    Answer: Mean = 43.44, Median = 52, Range = 67

Thursday 15 February 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √550

    Answer: 5√22
  2. 2. Algebra

    Complete the square: x² - 3x - 3

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

    Find area of triangle: a = 17cm, b = 14cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 109.54cm²
  4. 4. Ratio

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

    Answer: 16:40:35
  5. 5. Statistics

    Find the mean, median and range of: 25, 78, 31, 45, 66, 53, 15. Give your answer to 2 decimal places

    Answer: Mean = 44.71, Median = 45, Range = 63

Friday 16 February 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√28

    Answer: 6√7
  2. 2. Algebra

    Complete the square: 4x² + 40x + 8

    Answer: 4(x + 5)² - 92
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 16cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 199.94cm²
  4. 4. Ratio

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

    Answer: 4:6:9
  5. 5. Statistics

    Find the mean, median and range of: 70, 55, 68, 41, 77, 53, 89, 77, 37

    Answer: Mean = 63, Median = 68, Range = 52