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Capstone Nov 13 - 19 25 questions
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Monday 13 November 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² - 11x + 6

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

    Find area of triangle: a = 28cm, b = 17cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 226.35cm²
  4. 4. Ratio

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

    Answer: 4:14:63
  5. 5. Statistics

    Find the mean, median and range of: 93, 53, 10, 49, 69, 56, 94, 79, 52. Give your answer to 2 decimal places

    Answer: Mean = 61.67, Median = 56, Range = 84

Tuesday 14 November 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√12

    Answer: 10√3
  2. 2. Algebra

    Complete the square: 2x² - 24x + 12

    Answer: 2(x - 6)² - 60
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 30cm, angle = 47°. Give your answer to 2 decimal places

    Answer: 186.5cm²
  4. 4. Ratio

    a:b is 9:7 and b:c is 8:5. Find a:b:c in its simplest form.

    Answer: 72:56:35
  5. 5. Statistics

    Find the mean, median and range of: 97, 47, 42, 55, 74, 66, 76, 92. Give your answer to 2 decimal places

    Answer: Mean = 68.63, Median = 70, Range = 55

Wednesday 15 November 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 11x - 6

    Answer: (x + 11⁄2)² - 145⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 16cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 132.55cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 6:1. Find a:b:c in its simplest form.

    Answer: 9:12:2
  5. 5. Statistics

    Find the mean, median and range of: 65, 17, 37, 90, 26, 75, 45, 25, 80. Give your answer to 2 decimal places

    Answer: Mean = 51.11, Median = 45, Range = 73

Thursday 16 November 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√112

    Answer: 20√7
  2. 2. Algebra

    Complete the square: x² + 3x + 5

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

    Find area of triangle: a = 30cm, b = 28cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 363.73cm²
  4. 4. Ratio

    a:b is 3:8 and b:c is 5:2. Find a:b:c in its simplest form.

    Answer: 15:40:16
  5. 5. Statistics

    Find the mean, median and range of: 14, 69, 79, 99, 16, 37, 47, 86, 97. Give your answer to 2 decimal places

    Answer: Mean = 60.44, Median = 69, Range = 85

Friday 17 November 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: 3x² + 30x - 10

    Answer: 3(x + 5)² - 85
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 28cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 205.41cm²
  4. 4. Ratio

    a:b is 5:3 and b:c is 2:3. Find a:b:c in its simplest form.

    Answer: 10:6:9
  5. 5. Statistics

    Find the mean, median and range of: 44, 67, 41, 51, 30, 19, 23. Give your answer to 2 decimal places

    Answer: Mean = 39.29, Median = 41, Range = 48