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Capstone Mar 5 - 11 25 questions
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Monday 5 March 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: 4x² + 32x + 12

    Answer: 4(x + 4)² - 52
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 18cm, angle = 42°. Give your answer to 2 decimal places

    Answer: 156.58cm²
  4. 4. Ratio

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

    Answer: 27:15:35
  5. 5. Statistics

    Find the mean, median and range of: 19, 93, 66, 85, 67, 83, 82, 50. Give your answer to 2 decimal places

    Answer: Mean = 68.13, Median = 74.5, Range = 74

Tuesday 6 March 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √112

    Answer: 4√7
  2. 2. Algebra

    Complete the square: x² - x + 6

    Answer: (x - 1⁄2)² + 23⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 25cm, angle = 56°. Give your answer to 2 decimal places

    Answer: 134.72cm²
  4. 4. Ratio

    a:b is 7:9 and b:c is 8:5. Find a:b:c in its simplest form.

    Answer: 56:72:45
  5. 5. Statistics

    Find the mean, median and range of: 37, 31, 15, 79, 42, 55, 40, 19

    Answer: Mean = 39.75, Median = 38.5, Range = 64

Wednesday 7 March 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √504

    Answer: 6√14
  2. 2. Algebra

    Complete the square: x² - x - 8

    Answer: (x - 1⁄2)² - 33⁄4
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 17cm, angle = 55°. Give your answer to 2 decimal places

    Answer: 97.48cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 6:7. Find a:b:c in its simplest form.

    Answer: 9:12:14
  5. 5. Statistics

    Find the mean, median and range of: 39, 94, 86, 80, 49, 97, 24

    Answer: Mean = 67, Median = 80, Range = 73

Thursday 8 March 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 2√99

    Answer: 6√11
  2. 2. Algebra

    Complete the square: x² + 9x + 9

    Answer: (x + 9⁄2)² - 45⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 28cm, angle = 44°. Give your answer to 2 decimal places

    Answer: 155.6cm²
  4. 4. Ratio

    a:b is 9:2 and b:c is 5:4. Find a:b:c in its simplest form.

    Answer: 45:10:8
  5. 5. Statistics

    Find the mean, median and range of: 93, 22, 32, 76, 36, 87, 12. Give your answer to 2 decimal places

    Answer: Mean = 51.14, Median = 36, Range = 81

Friday 9 March 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 11x - 5

    Answer: (x + 11⁄2)² - 141⁄4
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 29cm, angle = 43°. Give your answer to 2 decimal places

    Answer: 217.56cm²
  4. 4. Ratio

    a:b is 9:5 and b:c is 8:7. Find a:b:c in its simplest form.

    Answer: 72:40:35
  5. 5. Statistics

    Find the mean, median and range of: 67, 43, 15, 18, 80, 16, 33, 68, 98. Give your answer to 2 decimal places

    Answer: Mean = 48.67, Median = 43, Range = 83