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Capstone May 23 - 29 25 questions
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Monday 23 May 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² - 7x - 8

    Answer: (x - 7⁄2)² - 81⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 28cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 324.33cm²
  4. 4. Ratio

    a:b is 3:8 and b:c is 5:9. Find a:b:c in its simplest form.

    Answer: 15:40:72
  5. 5. Statistics

    Find the mean, median and range of: 91, 20, 40, 10, 87, 82, 48

    Answer: Mean = 54, Median = 48, Range = 81

Tuesday 24 May 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √250

    Answer: 5√10
  2. 2. Algebra

    Complete the square: 3x² + 12x - 13

    Answer: 3(x + 2)² - 25
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 21cm, angle = 72°. Give your answer to 2 decimal places

    Answer: 139.81cm²
  4. 4. Ratio

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

    Answer: 21:28:16
  5. 5. Statistics

    Find the mean, median and range of: 12, 17, 88, 55, 69, 26, 99, 19. Give your answer to 2 decimal places

    Answer: Mean = 48.13, Median = 40.5, Range = 87

Wednesday 25 May 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √475

    Answer: 5√19
  2. 2. Algebra

    Complete the square: 3x² + 30x - 10

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

    Find area of triangle: a = 13cm, b = 18cm, angle = 77°. Give your answer to 2 decimal places

    Answer: 114cm²
  4. 4. Ratio

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

    Answer: 49:28:32
  5. 5. Statistics

    Find the mean, median and range of: 83, 23, 96, 43, 84, 92, 100. Give your answer to 2 decimal places

    Answer: Mean = 74.43, Median = 84, Range = 77

Thursday 26 May 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√125

    Answer: 20√5
  2. 2. Algebra

    Complete the square: 4x² - 24x + 2

    Answer: 4(x - 3)² - 34
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 26cm, angle = 56°. Give your answer to 2 decimal places

    Answer: 183.22cm²
  4. 4. Ratio

    a:b is 7:8 and b:c is 3:2. Find a:b:c in its simplest form.

    Answer: 21:24:16
  5. 5. Statistics

    Find the mean, median and range of: 91, 25, 81, 26, 93, 94, 48, 52, 54. Give your answer to 2 decimal places

    Answer: Mean = 62.67, Median = 54, Range = 69

Friday 27 May 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √704

    Answer: 8√11
  2. 2. Algebra

    Complete the square: 2x² - 4x

    Answer: 2(x - 1)² - 2
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 17cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 200.94cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 56:63:54
  5. 5. Statistics

    Find the mean, median and range of: 54, 22, 85, 77, 18, 23, 71

    Answer: Mean = 50, Median = 54, Range = 67