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Capstone Jan 2 - 8 25 questions
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Monday 2 January 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² - 5x + 3

    Answer: (x - 5⁄2)² - 13⁄4
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 27cm, angle = 62°. Give your answer to 2 decimal places

    Answer: 190.72cm²
  4. 4. Ratio

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

    Answer: 30:42:7
  5. 5. Statistics

    Find the mean, median and range of: 23, 83, 100, 45, 48, 34, 98, 43

    Answer: Mean = 59.25, Median = 46.5, Range = 77

Tuesday 3 January 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 5√90

    Answer: 15√10
  2. 2. Algebra

    Complete the square: 2x² - 16x - 12

    Answer: 2(x - 4)² - 44
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 30cm, angle = 50°. Give your answer to 2 decimal places

    Answer: 195.34cm²
  4. 4. Ratio

    a:b is 7:4 and b:c is 5:9. Find a:b:c in its simplest form.

    Answer: 35:20:36
  5. 5. Statistics

    Find the mean, median and range of: 31, 84, 15, 94, 48, 57, 86, 41

    Answer: Mean = 57, Median = 52.5, Range = 79

Wednesday 4 January 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: 4√175

    Answer: 20√7
  2. 2. Algebra

    Complete the square: x² - 9x - 8

    Answer: (x - 9⁄2)² - 113⁄4
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 17cm, angle = 58°. Give your answer to 2 decimal places

    Answer: 129.75cm²
  4. 4. Ratio

    a:b is 6:7 and b:c is 5:9. Find a:b:c in its simplest form.

    Answer: 30:35:63
  5. 5. Statistics

    Find the mean, median and range of: 41, 78, 32, 46, 48, 77, 90. Give your answer to 2 decimal places

    Answer: Mean = 58.86, Median = 48, Range = 58

Thursday 5 January 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: 4x² + 40x - 1

    Answer: 4(x + 5)² - 101
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 27cm, angle = 69°. Give your answer to 2 decimal places

    Answer: 340.29cm²
  4. 4. Ratio

    a:b is 6:5 and b:c is 9:2. Find a:b:c in its simplest form.

    Answer: 54:45:10
  5. 5. Statistics

    Find the mean, median and range of: 28, 52, 99, 100, 62, 99, 71, 66, 53

    Answer: Mean = 70, Median = 66, Range = 72

Friday 6 January 2017

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √396

    Answer: 6√11
  2. 2. Algebra

    Complete the square: x² + 7x - 10

    Answer: (x + 7⁄2)² - 89⁄4
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 20cm, angle = 76°. Give your answer to 2 decimal places

    Answer: 126.14cm²
  4. 4. Ratio

    a:b is 2:5 and b:c is 7:3. Find a:b:c in its simplest form.

    Answer: 14:35:15
  5. 5. Statistics

    Find the mean, median and range of: 70, 58, 34, 72, 83, 39, 65, 81, 92

    Answer: Mean = 66, Median = 70, Range = 58