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Capstone Sep 7 - 13 25 questions
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Monday 7 September 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 7x + 6

    Answer: (x + 7⁄2)² - 25⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 27cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 190.72cm²
  4. 4. Ratio

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

    Answer: 35:28:16
  5. 5. Statistics

    Find the mean, median and range of: 11, 36, 55, 12, 91, 42, 47

    Answer: Mean = 42, Median = 42, Range = 80

Tuesday 8 September 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √224

    Answer: 4√14
  2. 2. Algebra

    Complete the square: x² - 9x - 10

    Answer: (x - 9⁄2)² - 121⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 25cm, angle = 70°. Give your answer to 2 decimal places

    Answer: 281.91cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 5:7. Find a:b:c in its simplest form.

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

    Find the mean, median and range of: 30, 25, 97, 49, 78, 64, 51, 13. Give your answer to 2 decimal places

    Answer: Mean = 50.88, Median = 50, Range = 84

Wednesday 9 September 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √486

    Answer: 9√6
  2. 2. Algebra

    Complete the square: x² + 3x + 12

    Answer: (x + 3⁄2)² + 39⁄4
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 15cm, angle = 71°. Give your answer to 2 decimal places

    Answer: 85.cm²
  4. 4. Ratio

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

    Answer: 2:6:3
  5. 5. Statistics

    Find the mean, median and range of: 50, 48, 65, 43, 95, 91, 28, 86, 89. Give your answer to 2 decimal places

    Answer: Mean = 66.11, Median = 65, Range = 67

Thursday 10 September 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √325

    Answer: 5√13
  2. 2. Algebra

    Complete the square: x² - 9x + 3

    Answer: (x - 9⁄2)² - 69⁄4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 29cm, angle = 52°. Give your answer to 2 decimal places

    Answer: 239.95cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 7:3. Find a:b:c in its simplest form.

    Answer: 56:63:27
  5. 5. Statistics

    Find the mean, median and range of: 67, 66, 58, 84, 99, 70, 13, 87

    Answer: Mean = 68, Median = 68.5, Range = 86

Friday 11 September 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √448

    Answer: 8√7
  2. 2. Algebra

    Complete the square: 4x² + 24x - 11

    Answer: 4(x + 3)² - 47
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 22cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 172.55cm²
  4. 4. Ratio

    a:b is 3:5 and b:c is 8:1. Find a:b:c in its simplest form.

    Answer: 24:40:5
  5. 5. Statistics

    Find the mean, median and range of: 10, 100, 44, 51, 47, 10, 39, 88, 86. Give your answer to 2 decimal places

    Answer: Mean = 52.78, Median = 47, Range = 90