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Capstone Sep 21 - 27 25 questions
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Monday 21 September 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √32

    Answer: 4√2
  2. 2. Algebra

    Complete the square: 5x² + 60x + 14

    Answer: 5(x + 6)² - 166
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 15cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 69.94cm²
  4. 4. Ratio

    a:b is 7:2 and b:c is 5:1. Find a:b:c in its simplest form.

    Answer: 35:10:2
  5. 5. Statistics

    Find the mean, median and range of: 61, 94, 32, 22, 65, 99, 19, 28, 98. Give your answer to 2 decimal places

    Answer: Mean = 57.56, Median = 61, Range = 80

Tuesday 22 September 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√50

    Answer: 15√2
  2. 2. Algebra

    Complete the square: x² - x + 7

    Answer: (x - 1⁄2)² + 27⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 29cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 381.cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 7:1. Find a:b:c in its simplest form.

    Answer: 14:21:3
  5. 5. Statistics

    Find the mean, median and range of: 67, 63, 83, 80, 58, 84, 16, 13

    Answer: Mean = 58, Median = 65, Range = 71

Wednesday 23 September 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √684

    Answer: 6√19
  2. 2. Algebra

    Complete the square: x² - 5x + 7

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

    Find area of triangle: a = 24cm, b = 19cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 161.22cm²
  4. 4. Ratio

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

    Answer: 9:12:20
  5. 5. Statistics

    Find the mean, median and range of: 83, 36, 86, 95, 60, 61, 90

    Answer: Mean = 73, Median = 83, Range = 59

Thursday 24 September 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √50

    Answer: 5√2
  2. 2. Algebra

    Complete the square: 4x² - 48x + 7

    Answer: 4(x - 6)² - 137
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 28cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 223.09cm²
  4. 4. Ratio

    a:b is 8:3 and b:c is 2:9. Find a:b:c in its simplest form.

    Answer: 16:6:27
  5. 5. Statistics

    Find the mean, median and range of: 72, 20, 58, 62, 38, 21, 27. Give your answer to 2 decimal places

    Answer: Mean = 42.57, Median = 38, Range = 52

Friday 25 September 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√50

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² - 11x + 7

    Answer: (x - 11⁄2)² - 93⁄4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 28cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 266.45cm²
  4. 4. Ratio

    a:b is 1:5 and b:c is 7:2. Find a:b:c in its simplest form.

    Answer: 7:35:10
  5. 5. Statistics

    Find the mean, median and range of: 28, 77, 18, 60, 94, 44, 46, 30, 28. Give your answer to 2 decimal places

    Answer: Mean = 47.22, Median = 44, Range = 76