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Capstone Mar 2 - 8 25 questions
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Monday 2 March 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √176

    Answer: 4√11
  2. 2. Algebra

    Complete the square: 2x² - 24x - 11

    Answer: 2(x - 6)² - 83
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 12cm, angle = 78°. Give your answer to 2 decimal places

    Answer: 140.85cm²
  4. 4. Ratio

    a:b is 3:7 and b:c is 9:5. Find a:b:c in its simplest form.

    Answer: 27:63:35
  5. 5. Statistics

    Find the mean, median and range of: 25, 73, 20, 55, 87, 46, 43, 87

    Answer: Mean = 54.5, Median = 50.5, Range = 67

Tuesday 3 March 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √891

    Answer: 9√11
  2. 2. Algebra

    Complete the square: 3x² + 30x + 15

    Answer: 3(x + 5)² - 60
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 30cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 248.54cm²
  4. 4. Ratio

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

    Answer: 6:21:49
  5. 5. Statistics

    Find the mean, median and range of: 87, 37, 70, 97, 94, 91, 17. Give your answer to 2 decimal places

    Answer: Mean = 70.43, Median = 87, Range = 80

Wednesday 4 March 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √792

    Answer: 6√22
  2. 2. Algebra

    Complete the square: x² + 7x + 6

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

    Find area of triangle: a = 12cm, b = 22cm, angle = 45°. Give your answer to 2 decimal places

    Answer: 93.34cm²
  4. 4. Ratio

    a:b is 5:6 and b:c is 5:9. Find a:b:c in its simplest form.

    Answer: 25:30:54
  5. 5. Statistics

    Find the mean, median and range of: 38, 36, 19, 11, 33, 25, 42. Give your answer to 2 decimal places

    Answer: Mean = 29.14, Median = 33, Range = 31

Thursday 5 March 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √275

    Answer: 5√11
  2. 2. Algebra

    Complete the square: x² + 7x + 8

    Answer: (x + 7⁄2)² - 17⁄4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 16cm, angle = 53°. Give your answer to 2 decimal places

    Answer: 134.17cm²
  4. 4. Ratio

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

    Answer: 7:28:4
  5. 5. Statistics

    Find the mean, median and range of: 21, 94, 87, 14, 20, 43, 24, 50. Give your answer to 2 decimal places

    Answer: Mean = 44.13, Median = 33.5, Range = 80

Friday 6 March 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√12

    Answer: 4√3
  2. 2. Algebra

    Complete the square: x² + x - 9

    Answer: (x + 1⁄2)² - 37⁄4
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 26cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 326.49cm²
  4. 4. Ratio

    a:b is 9:2 and b:c is 5:8. Find a:b:c in its simplest form.

    Answer: 45:10:16
  5. 5. Statistics

    Find the mean, median and range of: 24, 22, 70, 31, 15, 42, 31, 34, 74. Give your answer to 2 decimal places

    Answer: Mean = 38.11, Median = 31, Range = 59