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Capstone Apr 27 - May 3 25 questions
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Monday 27 April 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √250

    Answer: 5√10
  2. 2. Algebra

    Complete the square: x² + 9x - 9

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

    Find area of triangle: a = 22cm, b = 25cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 256.73cm²
  4. 4. Ratio

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

    Answer: 45:36:20
  5. 5. Statistics

    Find the mean, median and range of: 21, 80, 72, 67, 59, 18, 31. Give your answer to 2 decimal places

    Answer: Mean = 49.71, Median = 59, Range = 62

Tuesday 28 April 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √384

    Answer: 8√6
  2. 2. Algebra

    Complete the square: 4x² - 24x - 6

    Answer: 4(x - 3)² - 42
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 24cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 350.77cm²
  4. 4. Ratio

    a:b is 7:6 and b:c is 8:5. Find a:b:c in its simplest form.

    Answer: 28:24:15
  5. 5. Statistics

    Find the mean, median and range of: 34, 32, 23, 14, 59, 99, 100, 82, 11. Give your answer to 2 decimal places

    Answer: Mean = 50.44, Median = 34, Range = 89

Wednesday 29 April 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √208

    Answer: 4√13
  2. 2. Algebra

    Complete the square: x² + x - 12

    Answer: (x + 1⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 16cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 125.65cm²
  4. 4. Ratio

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

    Answer: 4:18:21
  5. 5. Statistics

    Find the mean, median and range of: 71, 91, 36, 15, 51, 79, 14, 81

    Answer: Mean = 54.75, Median = 61, Range = 77

Thursday 30 April 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √700

    Answer: 10√7
  2. 2. Algebra

    Complete the square: 2x² - 24x + 9

    Answer: 2(x - 6)² - 63
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 14cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 98.67cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 2:7. Find a:b:c in its simplest form.

    Answer: 12:10:35
  5. 5. Statistics

    Find the mean, median and range of: 91, 87, 21, 45, 64, 71, 79. Give your answer to 2 decimal places

    Answer: Mean = 65.43, Median = 71, Range = 70

Friday 1 May 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√20

    Answer: 10√5
  2. 2. Algebra

    Complete the square: x² - 11x + 2

    Answer: (x - 11⁄2)² - 113⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 19cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 126.49cm²
  4. 4. Ratio

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

    Answer: 5:10:2
  5. 5. Statistics

    Find the mean, median and range of: 36, 47, 66, 25, 37, 71, 52, 89, 36

    Answer: Mean = 51, Median = 47, Range = 64