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Capstone Nov 27 - Dec 3 25 questions
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Monday 27 November 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√99

    Answer: 15√11
  2. 2. Algebra

    Complete the square: x² + 9x + 3

    Answer: (x + 9⁄2)² - 69⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 19cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 147.54cm²
  4. 4. Ratio

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

    Answer: 48:56:49
  5. 5. Statistics

    Find the mean, median and range of: 91, 51, 84, 72, 85, 30, 38, 34, 46

    Answer: Mean = 59, Median = 51, Range = 61

Tuesday 28 November 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √600

    Answer: 10√6
  2. 2. Algebra

    Complete the square: x² + 7x + 3

    Answer: (x + 7⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 29cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 292.98cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 7:28:32
  5. 5. Statistics

    Find the mean, median and range of: 44, 73, 21, 32, 63, 83, 18, 17, 29. Give your answer to 2 decimal places

    Answer: Mean = 42.22, Median = 32, Range = 66

Wednesday 29 November 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √448

    Answer: 8√7
  2. 2. Algebra

    Complete the square: 4x² - 24x - 7

    Answer: 4(x - 3)² - 43
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 13cm, angle = 64°. Give your answer to 2 decimal places

    Answer: 87.63cm²
  4. 4. Ratio

    a:b is 4:7 and b:c is 9:1. Find a:b:c in its simplest form.

    Answer: 36:63:7
  5. 5. Statistics

    Find the mean, median and range of: 30, 58, 81, 39, 32, 91, 18, 60. Give your answer to 2 decimal places

    Answer: Mean = 51.13, Median = 48.5, Range = 73

Thursday 30 November 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √300

    Answer: 10√3
  2. 2. Algebra

    Complete the square: x² - 11x - 4

    Answer: (x - 11⁄2)² - 137⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 18cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 97.92cm²
  4. 4. Ratio

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

    Answer: 21:6:4
  5. 5. Statistics

    Find the mean, median and range of: 90, 59, 40, 69, 22, 38, 27, 98. Give your answer to 2 decimal places

    Answer: Mean = 55.38, Median = 49.5, Range = 76

Friday 1 December 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √96

    Answer: 4√6
  2. 2. Algebra

    Complete the square: 5x² + 30x + 11

    Answer: 5(x + 3)² - 34
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 28cm, angle = 65°. Give your answer to 2 decimal places

    Answer: 342.58cm²
  4. 4. Ratio

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

    Answer: 5:40:64
  5. 5. Statistics

    Find the mean, median and range of: 97, 80, 19, 91, 81, 62, 96. Give your answer to 2 decimal places

    Answer: Mean = 75.14, Median = 81, Range = 78