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Capstone Aug 22 - 28 25 questions
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Monday 22 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√75

    Answer: 10√3
  2. 2. Algebra

    Complete the square: 3x² + 24x

    Answer: 3(x + 4)² - 48
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 15cm, angle = 48°. Give your answer to 2 decimal places

    Answer: 66.88cm²
  4. 4. Ratio

    a:b is 7:6 and b:c is 5:3. Find a:b:c in its simplest form.

    Answer: 35:30:18
  5. 5. Statistics

    Find the mean, median and range of: 60, 74, 81, 25, 21, 10, 11, 19. Give your answer to 2 decimal places

    Answer: Mean = 37.63, Median = 23, Range = 71

Tuesday 23 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √350

    Answer: 5√14
  2. 2. Algebra

    Complete the square: 3x² + 36x - 6

    Answer: 3(x + 6)² - 114
  3. 3. Geometry

    Find area of triangle: a = 30cm, b = 26cm, angle = 73°. Give your answer to 2 decimal places

    Answer: 372.96cm²
  4. 4. Ratio

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

    Answer: 28:35:25
  5. 5. Statistics

    Find the mean, median and range of: 84, 62, 95, 14, 31, 75, 51, 17. Give your answer to 2 decimal places

    Answer: Mean = 53.63, Median = 56.5, Range = 81

Wednesday 24 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: 2x² + 4x - 5

    Answer: 2(x + 1)² - 7
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 29cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 230.13cm²
  4. 4. Ratio

    a:b is 9:2 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 63:14:16
  5. 5. Statistics

    Find the mean, median and range of: 24, 92, 76, 40, 37, 67, 98, 68

    Answer: Mean = 62.75, Median = 67.5, Range = 74

Thursday 25 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √294

    Answer: 7√6
  2. 2. Algebra

    Complete the square: x² - x + 1

    Answer: (x - 1⁄2)² + 3⁄4
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 20cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 241.07cm²
  4. 4. Ratio

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

    Answer: 3:6:4
  5. 5. Statistics

    Find the mean, median and range of: 30, 90, 66, 39, 61, 72, 14. Give your answer to 2 decimal places

    Answer: Mean = 53.14, Median = 61, Range = 76

Friday 26 August 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: 2x² - 20x - 3

    Answer: 2(x - 5)² - 53
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 12cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 110.2cm²
  4. 4. Ratio

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

    Answer: 45:35:63
  5. 5. Statistics

    Find the mean, median and range of: 82, 64, 47, 24, 91, 34, 73. Give your answer to 2 decimal places

    Answer: Mean = 59.29, Median = 64, Range = 67