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Capstone Jun 16 - 22 25 questions
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Monday 16 June 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √792

    Answer: 6√22
  2. 2. Algebra

    Complete the square: x² + x - 11

    Answer: (x + 1⁄2)² - 45⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 28cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 199.59cm²
  4. 4. Ratio

    a:b is 5:9 and b:c is 8:3. Find a:b:c in its simplest form.

    Answer: 40:72:27
  5. 5. Statistics

    Find the mean, median and range of: 11, 18, 26, 73, 53, 22, 83. Give your answer to 2 decimal places

    Answer: Mean = 40.86, Median = 26, Range = 72

Tuesday 17 June 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√176

    Answer: 20√11
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 21cm, b = 26cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 215.13cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 5:6. Find a:b:c in its simplest form.

    Answer: 40:45:54
  5. 5. Statistics

    Find the mean, median and range of: 76, 36, 94, 83, 85, 27, 41, 25. Give your answer to 2 decimal places

    Answer: Mean = 58.38, Median = 58.5, Range = 69

Wednesday 18 June 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √637

    Answer: 7√13
  2. 2. Algebra

    Complete the square: x² - 9x - 2

    Answer: (x - 9⁄2)² - 89⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 17cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 116.48cm²
  4. 4. Ratio

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

    Answer: 36:28:35
  5. 5. Statistics

    Find the mean, median and range of: 21, 36, 12, 95, 34, 100, 18, 42, 92

    Answer: Mean = 50, Median = 36, Range = 88

Thursday 19 June 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√45

    Answer: 15√5
  2. 2. Algebra

    Complete the square: 3x² - 24x + 1

    Answer: 3(x - 4)² - 47
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 21cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 211.34cm²
  4. 4. Ratio

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

    Answer: 12:15:10
  5. 5. Statistics

    Find the mean, median and range of: 88, 75, 74, 13, 91, 89, 39, 79, 70. Give your answer to 2 decimal places

    Answer: Mean = 68.67, Median = 75, Range = 78

Friday 20 June 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √500

    Answer: 10√5
  2. 2. Algebra

    Complete the square: x² - 3x + 1

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

    Find area of triangle: a = 26cm, b = 14cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 128.69cm²
  4. 4. Ratio

    a:b is 2:9 and b:c is 5:7. Find a:b:c in its simplest form.

    Answer: 10:45:63
  5. 5. Statistics

    Find the mean, median and range of: 51, 88, 77, 16, 87, 10, 14, 25, 35. Give your answer to 2 decimal places

    Answer: Mean = 44.78, Median = 35, Range = 78