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Capstone Sep 2 - 8 25 questions
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Monday 2 September 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √275

    Answer: 5√11
  2. 2. Algebra

    Complete the square: x² - x

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

    Find area of triangle: a = 30cm, b = 26cm, angle = 68°. Give your answer to 2 decimal places

    Answer: 361.6cm²
  4. 4. Ratio

    a:b is 9:5 and b:c is 7:1. Find a:b:c in its simplest form.

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

    Find the mean, median and range of: 21, 90, 45, 71, 54, 61, 10. Give your answer to 2 decimal places

    Answer: Mean = 50.29, Median = 54, Range = 80

Tuesday 3 September 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√28

    Answer: 6√7
  2. 2. Algebra

    Complete the square: 3x² - 6x + 1

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

    Find area of triangle: a = 21cm, b = 27cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 232.23cm²
  4. 4. Ratio

    a:b is 8:7 and b:c is 2:5. Find a:b:c in its simplest form.

    Answer: 16:14:35
  5. 5. Statistics

    Find the mean, median and range of: 22, 99, 35, 24, 70, 81, 35, 38

    Answer: Mean = 50.5, Median = 36.5, Range = 77

Wednesday 4 September 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 3√80

    Answer: 12√5
  2. 2. Algebra

    Complete the square: 4x² - 32x - 14

    Answer: 4(x - 4)² - 78
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 22cm, angle = 67°. Give your answer to 2 decimal places

    Answer: 202.51cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 5:4. Find a:b:c in its simplest form.

    Answer: 5:10:8
  5. 5. Statistics

    Find the mean, median and range of: 54, 12, 27, 80, 25, 78, 86, 17, 70. Give your answer to 2 decimal places

    Answer: Mean = 49.89, Median = 54, Range = 74

Thursday 5 September 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √50

    Answer: 5√2
  2. 2. Algebra

    Complete the square: x² + 3x + 3

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

    Find area of triangle: a = 23cm, b = 15cm, angle = 80°. Give your answer to 2 decimal places

    Answer: 169.88cm²
  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: 74, 86, 96, 38, 42, 72, 63, 19, 64. Give your answer to 2 decimal places

    Answer: Mean = 61.56, Median = 64, Range = 77

Friday 6 September 2013

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √32

    Answer: 4√2
  2. 2. Algebra

    Complete the square: 4x² - 24x + 3

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

    Find area of triangle: a = 25cm, b = 29cm, angle = 66°. Give your answer to 2 decimal places

    Answer: 331.16cm²
  4. 4. Ratio

    a:b is 1:9 and b:c is 2:7. Find a:b:c in its simplest form.

    Answer: 2:18:63
  5. 5. Statistics

    Find the mean, median and range of: 58, 81, 28, 69, 73, 54, 13. Give your answer to 2 decimal places

    Answer: Mean = 53.71, Median = 58, Range = 68