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Capstone Oct 3 - 9 25 questions
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Monday 3 October 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √252

    Answer: 6√7
  2. 2. Algebra

    Complete the square: 4x² + 8x - 6

    Answer: 4(x + 1)² - 10
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 17cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 98.46cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 9:1. Find a:b:c in its simplest form.

    Answer: 54:63:7
  5. 5. Statistics

    Find the mean, median and range of: 60, 12, 52, 32, 19, 46, 71, 97, 71. Give your answer to 2 decimal places

    Answer: Mean = 51.11, Median = 52, Range = 85

Tuesday 4 October 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√160

    Answer: 8√10
  2. 2. Algebra

    Complete the square: x² + 5x - 12

    Answer: (x + 5⁄2)² - 73⁄4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 16cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 154.64cm²
  4. 4. Ratio

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

    Answer: 18:14:49
  5. 5. Statistics

    Find the mean, median and range of: 29, 54, 82, 62, 79, 39, 73. Give your answer to 2 decimal places

    Answer: Mean = 59.71, Median = 62, Range = 53

Wednesday 5 October 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: 2x² + 24x + 2

    Answer: 2(x + 6)² - 70
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 16cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 227.74cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 9:7. Find a:b:c in its simplest form.

    Answer: 27:36:28
  5. 5. Statistics

    Find the mean, median and range of: 89, 77, 35, 33, 11, 36, 85, 71, 59. Give your answer to 2 decimal places

    Answer: Mean = 55.11, Median = 59, Range = 78

Thursday 6 October 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √832

    Answer: 8√13
  2. 2. Algebra

    Complete the square: x² + 3x - 5

    Answer: (x + 3⁄2)² - 29⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 24cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 270.63cm²
  4. 4. Ratio

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

    Answer: 56:35:40
  5. 5. Statistics

    Find the mean, median and range of: 35, 83, 92, 44, 61, 48, 83, 63, 67

    Answer: Mean = 64, Median = 63, Range = 57

Friday 7 October 2016

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √704

    Answer: 8√11
  2. 2. Algebra

    Complete the square: 2x² - 12x + 13

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

    Find area of triangle: a = 23cm, b = 20cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 195.05cm²
  4. 4. Ratio

    a:b is 3:8 and b:c is 7:6. Find a:b:c in its simplest form.

    Answer: 21:56:48
  5. 5. Statistics

    Find the mean, median and range of: 18, 24, 29, 97, 77, 43, 89, 48, 28. Give your answer to 2 decimal places

    Answer: Mean = 50.33, Median = 43, Range = 79