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Capstone Mar 24 - 30 25 questions
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Monday 24 March 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √224

    Answer: 4√14
  2. 2. Algebra

    Complete the square: 5x² - 10x - 15

    Answer: 5(x - 1)² - 20
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 15cm, angle = 74°. Give your answer to 2 decimal places

    Answer: 209.07cm²
  4. 4. Ratio

    a:b is 8:7 and b:c is 3:5. Find a:b:c in its simplest form.

    Answer: 24:21:35
  5. 5. Statistics

    Find the mean, median and range of: 88, 47, 50, 30, 18, 78, 23, 12

    Answer: Mean = 43.25, Median = 38.5, Range = 76

Tuesday 25 March 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√40

    Answer: 4√10
  2. 2. Algebra

    Complete the square: x² - 3x + 2

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

    Find area of triangle: a = 21cm, b = 17cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 136.74cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 5:8. Find a:b:c in its simplest form.

    Answer: 5:35:56
  5. 5. Statistics

    Find the mean, median and range of: 72, 36, 53, 40, 99, 49, 12, 57

    Answer: Mean = 52.25, Median = 51, Range = 87

Wednesday 26 March 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √252

    Answer: 6√7
  2. 2. Algebra

    Complete the square: 4x² - 8x - 5

    Answer: 4(x - 1)² - 9
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 29cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 277.69cm²
  4. 4. Ratio

    a:b is 7:4 and b:c is 7:2. Find a:b:c in its simplest form.

    Answer: 49:28:8
  5. 5. Statistics

    Find the mean, median and range of: 43, 31, 100, 74, 22, 25, 53, 80, 23. Give your answer to 2 decimal places

    Answer: Mean = 50.11, Median = 43, Range = 78

Thursday 27 March 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √175

    Answer: 5√7
  2. 2. Algebra

    Complete the square: x² + 9x + 9

    Answer: (x + 9⁄2)² - 45⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 30cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 392.97cm²
  4. 4. Ratio

    a:b is 7:4 and b:c is 3:5. Find a:b:c in its simplest form.

    Answer: 21:12:20
  5. 5. Statistics

    Find the mean, median and range of: 64, 18, 90, 78, 85, 100, 72. Give your answer to 2 decimal places

    Answer: Mean = 72.43, Median = 78, Range = 82

Friday 28 March 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √245

    Answer: 7√5
  2. 2. Algebra

    Complete the square: 5x² + 50x + 6

    Answer: 5(x + 5)² - 119
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 17cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 94.47cm²
  4. 4. Ratio

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

    Answer: 9:24:16
  5. 5. Statistics

    Find the mean, median and range of: 30, 91, 31, 43, 77, 83, 49, 64, 98. Give your answer to 2 decimal places

    Answer: Mean = 62.89, Median = 64, Range = 68