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Capstone Jan 22 - 28 25 questions
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Monday 22 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √448

    Answer: 8√7
  2. 2. Algebra

    Complete the square: 3x² - 18x - 10

    Answer: 3(x - 3)² - 37
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 18cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 195.84cm²
  4. 4. Ratio

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

    Answer: 25:45:18
  5. 5. Statistics

    Find the mean, median and range of: 31, 25, 46, 92, 72, 81, 98, 88. Give your answer to 2 decimal places

    Answer: Mean = 66.63, Median = 76.5, Range = 73

Tuesday 23 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √208

    Answer: 4√13
  2. 2. Algebra

    Complete the square: 2x² - 20x - 9

    Answer: 2(x - 5)² - 59
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 27cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 233.59cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 7:9. Find a:b:c in its simplest form.

    Answer: 7:35:45
  5. 5. Statistics

    Find the mean, median and range of: 46, 12, 94, 44, 35, 49, 57, 67

    Answer: Mean = 50.5, Median = 47.5, Range = 82

Wednesday 24 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² - 5x - 4

    Answer: (x - 5⁄2)² - 41⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 25cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 179.69cm²
  4. 4. Ratio

    a:b is 8:7 and b:c is 2:9. Find a:b:c in its simplest form.

    Answer: 16:14:63
  5. 5. Statistics

    Find the mean, median and range of: 18, 91, 36, 53, 29, 86, 53, 86, 57. Give your answer to 2 decimal places

    Answer: Mean = 56.56, Median = 53, Range = 73

Thursday 25 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √425

    Answer: 5√17
  2. 2. Algebra

    Complete the square: 5x² - 60x + 1

    Answer: 5(x - 6)² - 179
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 22cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 210.39cm²
  4. 4. Ratio

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

    Answer: 64:24:27
  5. 5. Statistics

    Find the mean, median and range of: 91, 85, 62, 78, 63, 77, 98. Give your answer to 2 decimal places

    Answer: Mean = 79.14, Median = 78, Range = 36

Friday 26 January 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√80

    Answer: 8√5
  2. 2. Algebra

    Complete the square: 2x² - 16x - 4

    Answer: 2(x - 4)² - 36
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 24cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 169.71cm²
  4. 4. Ratio

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

    Answer: 49:21:9
  5. 5. Statistics

    Find the mean, median and range of: 96, 60, 55, 79, 85, 74, 31, 15, 39. Give your answer to 2 decimal places

    Answer: Mean = 59.33, Median = 60, Range = 81