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Capstone Nov 23 - 29 25 questions
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Monday 23 November 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √486

    Answer: 9√6
  2. 2. Algebra

    Complete the square: 5x² - 60x - 5

    Answer: 5(x - 6)² - 185
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 29cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 177.72cm²
  4. 4. Ratio

    a:b is 2:5 and b:c is 4:1. Find a:b:c in its simplest form.

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

    Find the mean, median and range of: 59, 39, 44, 48, 37, 38, 87, 39, 78. Give your answer to 2 decimal places

    Answer: Mean = 52.11, Median = 44, Range = 50

Tuesday 24 November 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √612

    Answer: 6√17
  2. 2. Algebra

    Complete the square: x² + 11x + 6

    Answer: (x + 11⁄2)² - 97⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 29cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 204.84cm²
  4. 4. Ratio

    a:b is 1:8 and b:c is 9:7. Find a:b:c in its simplest form.

    Answer: 9:72:56
  5. 5. Statistics

    Find the mean, median and range of: 30, 98, 79, 28, 23, 80, 59, 56. Give your answer to 2 decimal places

    Answer: Mean = 56.63, Median = 57.5, Range = 75

Wednesday 25 November 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√150

    Answer: 20√6
  2. 2. Algebra

    Complete the square: x² + 7x + 11

    Answer: (x + 7⁄2)² - 5⁄4
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 25cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 177.28cm²
  4. 4. Ratio

    a:b is 4:9 and b:c is 6:5. Find a:b:c in its simplest form.

    Answer: 8:18:15
  5. 5. Statistics

    Find the mean, median and range of: 79, 56, 88, 86, 97, 32, 16, 49. Give your answer to 2 decimal places

    Answer: Mean = 62.88, Median = 67.5, Range = 81

Thursday 26 November 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √550

    Answer: 5√22
  2. 2. Algebra

    Complete the square: 5x² + 10x - 1

    Answer: 5(x + 1)² - 6
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 22cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 305.97cm²
  4. 4. Ratio

    a:b is 1:7 and b:c is 9:5. Find a:b:c in its simplest form.

    Answer: 9:63:35
  5. 5. Statistics

    Find the mean, median and range of: 14, 49, 98, 43, 38, 55, 22, 71

    Answer: Mean = 48.75, Median = 46, Range = 84

Friday 27 November 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: 2x² + 20x - 5

    Answer: 2(x + 5)² - 55
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 27cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 144.34cm²
  4. 4. Ratio

    a:b is 7:6 and b:c is 8:1. Find a:b:c in its simplest form.

    Answer: 28:24:3
  5. 5. Statistics

    Find the mean, median and range of: 57, 41, 38, 67, 47, 69, 54, 54. Give your answer to 2 decimal places

    Answer: Mean = 53.38, Median = 54, Range = 31