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Capstone Nov 14 - 20 25 questions
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Monday 14 November 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √336

    Answer: 4√21
  2. 2. Algebra

    Complete the square: 2x² - 20x - 2

    Answer: 2(x - 5)² - 52
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 18cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 123.33cm²
  4. 4. Ratio

    a:b is 2:9 and b:c is 7:3. Find a:b:c in its simplest form.

    Answer: 14:63:27
  5. 5. Statistics

    Find the mean, median and range of: 65, 40, 53, 88, 58, 48, 41. Give your answer to 2 decimal places

    Answer: Mean = 56.14, Median = 53, Range = 48

Tuesday 15 November 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √275

    Answer: 5√11
  2. 2. Algebra

    Complete the square: x² - 5x - 3

    Answer: (x - 5⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 27cm, angle = 75°. Give your answer to 2 decimal places

    Answer: 352.08cm²
  4. 4. Ratio

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

    Answer: 25:40:24
  5. 5. Statistics

    Find the mean, median and range of: 35, 82, 100, 95, 53, 61, 26, 89. Give your answer to 2 decimal places

    Answer: Mean = 67.63, Median = 71.5, Range = 74

Wednesday 16 November 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√32

    Answer: 16√2
  2. 2. Algebra

    Complete the square: x² + 3x - 6

    Answer: (x + 3⁄2)² - 33⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 28cm, angle = 57°. Give your answer to 2 decimal places

    Answer: 340.5cm²
  4. 4. Ratio

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

    Answer: 35:28:12
  5. 5. Statistics

    Find the mean, median and range of: 32, 98, 30, 14, 15, 40, 27, 21, 23. Give your answer to 2 decimal places

    Answer: Mean = 33.33, Median = 27, Range = 84

Thursday 17 November 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √294

    Answer: 7√6
  2. 2. Algebra

    Complete the square: x² - 11x - 2

    Answer: (x - 11⁄2)² - 129⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 18cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 169.72cm²
  4. 4. Ratio

    a:b is 9:2 and b:c is 3:1. Find a:b:c in its simplest form.

    Answer: 27:6:2
  5. 5. Statistics

    Find the mean, median and range of: 62, 19, 62, 32, 75, 49, 86, 85, 79

    Answer: Mean = 61, Median = 62, Range = 67

Friday 18 November 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: 3x² + 12x + 10

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

    Find area of triangle: a = 15cm, b = 16cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 106.92cm²
  4. 4. Ratio

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

    Answer: 9:6:2
  5. 5. Statistics

    Find the mean, median and range of: 60, 93, 51, 22, 51, 25, 69

    Answer: Mean = 53, Median = 51, Range = 71