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Capstone Dec 30 - Jan 5 25 questions
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Monday 30 December 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √896

    Answer: 8√14
  2. 2. Algebra

    Complete the square: x² + 9x + 1

    Answer: (x + 9⁄2)² - 77⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 29cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 196.97cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 8:1. Find a:b:c in its simplest form.

    Answer: 16:24:3
  5. 5. Statistics

    Find the mean, median and range of: 16, 27, 87, 22, 19, 29, 38, 40

    Answer: Mean = 34.75, Median = 28, Range = 71

Tuesday 31 December 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √931

    Answer: 7√19
  2. 2. Algebra

    Complete the square: x² - 11x + 4

    Answer: (x - 11⁄2)² - 105⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 16cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 147.08cm²
  4. 4. Ratio

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

    Answer: 81:45:10
  5. 5. Statistics

    Find the mean, median and range of: 25, 11, 23, 70, 83, 17, 77. Give your answer to 2 decimal places

    Answer: Mean = 43.71, Median = 25, Range = 72

Wednesday 1 January 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√250

    Answer: 25√10
  2. 2. Algebra

    Complete the square: 5x² - 40x + 4

    Answer: 5(x - 4)² - 76
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 15cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 102.86cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 10, 33, 64, 35, 78, 13, 46, 13

    Answer: Mean = 36.5, Median = 34, Range = 68

Thursday 2 January 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √640

    Answer: 8√10
  2. 2. Algebra

    Complete the square: x² + 3x - 1

    Answer: (x + 3⁄2)² - 13⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 29cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 158.09cm²
  4. 4. Ratio

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

    Answer: 48:30:35
  5. 5. Statistics

    Find the mean, median and range of: 89, 84, 79, 17, 93, 58, 95, 77

    Answer: Mean = 74, Median = 81.5, Range = 78

Friday 3 January 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√45

    Answer: 6√5
  2. 2. Algebra

    Complete the square: 3x² + 18x - 10

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

    Find area of triangle: a = 29cm, b = 24cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 329.04cm²
  4. 4. Ratio

    a:b is 7:4 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 35:20:8
  5. 5. Statistics

    Find the mean, median and range of: 82, 47, 45, 90, 55, 33, 96, 43. Give your answer to 2 decimal places

    Answer: Mean = 61.38, Median = 51, Range = 63