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Capstone Jul 21 - 27 25 questions
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Monday 21 July 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + x - 4

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

    Find area of triangle: a = 26cm, b = 27cm, angle = 60°. Give your answer to 2 decimal places

    Answer: 303.97cm²
  4. 4. Ratio

    a:b is 1:4 and b:c is 7:8. Find a:b:c in its simplest form.

    Answer: 7:28:32
  5. 5. Statistics

    Find the mean, median and range of: 10, 28, 20, 19, 90, 10, 21, 11, 22. Give your answer to 2 decimal places

    Answer: Mean = 25.67, Median = 20, Range = 80

Tuesday 22 July 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √726

    Answer: 11√6
  2. 2. Algebra

    Complete the square: x² + 3x + 1

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

    Find area of triangle: a = 23cm, b = 19cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 187.29cm²
  4. 4. Ratio

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

    Answer: 3:24:64
  5. 5. Statistics

    Find the mean, median and range of: 70, 17, 63, 69, 98, 17, 68, 45. Give your answer to 2 decimal places

    Answer: Mean = 55.88, Median = 65.5, Range = 81

Wednesday 23 July 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √160

    Answer: 4√10
  2. 2. Algebra

    Complete the square: 3x² - 6x + 15

    Answer: 3(x - 1)² + 12
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 13cm, angle = 63°. Give your answer to 2 decimal places

    Answer: 133.21cm²
  4. 4. Ratio

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

    Answer: 49:21:27
  5. 5. Statistics

    Find the mean, median and range of: 59, 69, 71, 59, 95, 30, 40. Give your answer to 2 decimal places

    Answer: Mean = 60.43, Median = 59, Range = 65

Thursday 24 July 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √475

    Answer: 5√19
  2. 2. Algebra

    Complete the square: x² + x + 11

    Answer: (x + 1⁄2)² + 43⁄4
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 29cm, angle = 56°. Give your answer to 2 decimal places

    Answer: 288.51cm²
  4. 4. Ratio

    a:b is 7:6 and b:c is 5:1. Find a:b:c in its simplest form.

    Answer: 35:30:6
  5. 5. Statistics

    Find the mean, median and range of: 39, 77, 83, 55, 46, 44, 26, 94

    Answer: Mean = 58, Median = 50.5, Range = 68

Friday 25 July 2014

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 5x - 2

    Answer: (x + 5⁄2)² - 33⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 26cm, angle = 40°. Give your answer to 2 decimal places

    Answer: 142.06cm²
  4. 4. Ratio

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

    Answer: 9:21:14
  5. 5. Statistics

    Find the mean, median and range of: 99, 15, 80, 80, 13, 30, 43, 29. Give your answer to 2 decimal places

    Answer: Mean = 48.63, Median = 36.5, Range = 86