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Capstone Sep 12 - 18 25 questions
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Monday 12 September 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √605

    Answer: 11√5
  2. 2. Algebra

    Complete the square: 4x² - 32x + 6

    Answer: 4(x - 4)² - 58
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 25cm, angle = 56°. Give your answer to 2 decimal places

    Answer: 269.44cm²
  4. 4. Ratio

    a:b is 3:5 and b:c is 9:4. Find a:b:c in its simplest form.

    Answer: 27:45:20
  5. 5. Statistics

    Find the mean, median and range of: 95, 67, 85, 58, 81, 20, 75. Give your answer to 2 decimal places

    Answer: Mean = 68.71, Median = 75, Range = 75

Tuesday 13 September 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² - 7x - 2

    Answer: (x - 7⁄2)² - 57⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 14cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 144.71cm²
  4. 4. Ratio

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

    Answer: 20:28:21
  5. 5. Statistics

    Find the mean, median and range of: 16, 74, 97, 33, 97, 67, 17, 46. Give your answer to 2 decimal places

    Answer: Mean = 55.88, Median = 56.5, Range = 81

Wednesday 14 September 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√150

    Answer: 20√6
  2. 2. Algebra

    Complete the square: 2x² - 16x - 10

    Answer: 2(x - 4)² - 42
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 14cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 172.08cm²
  4. 4. Ratio

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

    Answer: 35:15:18
  5. 5. Statistics

    Find the mean, median and range of: 16, 20, 88, 36, 88, 64, 81, 17, 19. Give your answer to 2 decimal places

    Answer: Mean = 47.67, Median = 36, Range = 72

Thursday 15 September 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √540

    Answer: 6√15
  2. 2. Algebra

    Complete the square: 5x² + 30x + 6

    Answer: 5(x + 3)² - 39
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 17cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 109.27cm²
  4. 4. Ratio

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

    Answer: 35:21:18
  5. 5. Statistics

    Find the mean, median and range of: 42, 64, 91, 24, 99, 52, 32. Give your answer to 2 decimal places

    Answer: Mean = 57.71, Median = 52, Range = 75

Friday 16 September 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √720

    Answer: 12√5
  2. 2. Algebra

    Complete the square: x² + x - 4

    Answer: (x + 1⁄2)² - 17⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 22cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 284.23cm²
  4. 4. Ratio

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

    Answer: 72:63:14
  5. 5. Statistics

    Find the mean, median and range of: 99, 80, 62, 98, 17, 54, 48, 18, 30. Give your answer to 2 decimal places

    Answer: Mean = 56.22, Median = 54, Range = 82