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Capstone Nov 30 - Dec 6 25 questions
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Monday 30 November 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: 5x² - 50x - 12

    Answer: 5(x - 5)² - 137
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 24cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 180.42cm²
  4. 4. Ratio

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

    Answer: 28:35:15
  5. 5. Statistics

    Find the mean, median and range of: 70, 53, 80, 12, 90, 64, 75, 100, 20. Give your answer to 2 decimal places

    Answer: Mean = 62.67, Median = 70, Range = 88

Tuesday 1 December 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √294

    Answer: 7√6
  2. 2. Algebra

    Complete the square: x² - x

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

    Find area of triangle: a = 17cm, b = 17cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 126.38cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 4:3. Find a:b:c in its simplest form.

    Answer: 24:28:21
  5. 5. Statistics

    Find the mean, median and range of: 24, 48, 31, 16, 66, 58, 97. Give your answer to 2 decimal places

    Answer: Mean = 48.57, Median = 48, Range = 81

Wednesday 2 December 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√80

    Answer: 12√5
  2. 2. Algebra

    Complete the square: x² + 3x - 10

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

    Find area of triangle: a = 15cm, b = 27cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 183.53cm²
  4. 4. Ratio

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

    Answer: 21:28:16
  5. 5. Statistics

    Find the mean, median and range of: 93, 42, 46, 12, 30, 88, 62, 56, 16. Give your answer to 2 decimal places

    Answer: Mean = 49.44, Median = 46, Range = 81

Thursday 3 December 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √250

    Answer: 5√10
  2. 2. Algebra

    Complete the square: 4x² - 40x - 11

    Answer: 4(x - 5)² - 111
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 13cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 110.31cm²
  4. 4. Ratio

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

    Answer: 24:40:15
  5. 5. Statistics

    Find the mean, median and range of: 77, 88, 98, 96, 78, 83, 85. Give your answer to 2 decimal places

    Answer: Mean = 86.43, Median = 85, Range = 21

Friday 4 December 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √640

    Answer: 8√10
  2. 2. Algebra

    Complete the square: x² - 5x - 6

    Answer: (x - 5⁄2)² - 49⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 29cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 191.57cm²
  4. 4. Ratio

    a:b is 5:8 and b:c is 9:2. Find a:b:c in its simplest form.

    Answer: 45:72:16
  5. 5. Statistics

    Find the mean, median and range of: 12, 88, 52, 100, 95, 48, 99, 68, 43. Give your answer to 2 decimal places

    Answer: Mean = 67.22, Median = 68, Range = 88