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Capstone Oct 12 - 18 25 questions
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Monday 12 October 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √833

    Answer: 7√17
  2. 2. Algebra

    Complete the square: 4x² - 40x - 14

    Answer: 4(x - 5)² - 114
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 27cm, angle = 79°. Give your answer to 2 decimal places

    Answer: 331.3cm²
  4. 4. Ratio

    a:b is 1:9 and b:c is 8:3. Find a:b:c in its simplest form.

    Answer: 8:72:27
  5. 5. Statistics

    Find the mean, median and range of: 31, 44, 84, 99, 98, 61, 65, 75. Give your answer to 2 decimal places

    Answer: Mean = 69.63, Median = 70, Range = 68

Tuesday 13 October 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: 2x² - 12x - 8

    Answer: 2(x - 3)² - 26
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 12cm, angle = 59°. Give your answer to 2 decimal places

    Answer: 123.43cm²
  4. 4. Ratio

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

    Answer: 3:6:4
  5. 5. Statistics

    Find the mean, median and range of: 97, 76, 27, 35, 54, 75, 82, 62

    Answer: Mean = 63.5, Median = 68.5, Range = 70

Wednesday 14 October 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √425

    Answer: 5√17
  2. 2. Algebra

    Complete the square: x² + 11x + 6

    Answer: (x + 11⁄2)² - 97⁄4
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 27cm, angle = 51°. Give your answer to 2 decimal places

    Answer: 178.35cm²
  4. 4. Ratio

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

    Answer: 56:24:9
  5. 5. Statistics

    Find the mean, median and range of: 53, 22, 78, 60, 63, 46, 20, 44, 30. Give your answer to 2 decimal places

    Answer: Mean = 46.22, Median = 46, Range = 58

Thursday 15 October 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: 2x² + 8x - 10

    Answer: 2(x + 2)² - 18
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 23cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 126.78cm²
  4. 4. Ratio

    a:b is 8:9 and b:c is 7:4. Find a:b:c in its simplest form.

    Answer: 56:63:36
  5. 5. Statistics

    Find the mean, median and range of: 39, 45, 22, 41, 12, 75, 39, 44, 14. Give your answer to 2 decimal places

    Answer: Mean = 36.78, Median = 39, Range = 63

Friday 16 October 2015

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√20

    Answer: 4√5
  2. 2. Algebra

    Complete the square: 2x² - 4x - 13

    Answer: 2(x - 1)² - 15
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 21cm, angle = 61°. Give your answer to 2 decimal places

    Answer: 128.57cm²
  4. 4. Ratio

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

    Answer: 9:15:5
  5. 5. Statistics

    Find the mean, median and range of: 15, 74, 31, 16, 63, 34, 86, 97

    Answer: Mean = 52, Median = 48.5, Range = 82