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Capstone Oct 1 - 7 25 questions
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Monday 1 October 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 4.6x

    Answer: (x + 2.3)² - 5.29
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 26cm, angle = 52°

    Answer: 266.3cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 2:5. Find a:b:c.

    Answer: 4:6:15
  5. 5. Statistics

    Find the mean, median and range of: 76, 51, 57, 63, 84, 75, 43

    Answer: Mean = 64.1, Median = 63, Range = 41

Tuesday 2 October 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 5.6x

    Answer: (x + 2.8)² - 7.84
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 29cm, angle = 40°

    Answer: 130.5cm²
  4. 4. Ratio

    a:b is 3:2 and b:c is 1:2. Find a:b:c.

    Answer: 3:2:4
  5. 5. Statistics

    Find the mean, median and range of: 59, 75, 19, 39, 64, 21, 44, 46, 29

    Answer: Mean = 44, Median = 44, Range = 56

Wednesday 3 October 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 4.4x

    Answer: (x + 2.2)² - 4.84
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 13cm, angle = 64°

    Answer: 151.9cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 3:4. Find a:b:c.

    Answer: 9:12:16
  5. 5. Statistics

    Find the mean, median and range of: 57, 79, 60, 32, 55, 49, 98

    Answer: Mean = 61.4, Median = 57, Range = 66

Thursday 4 October 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5.8x

    Answer: (x + 2.9)² - 8.41
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 30cm, angle = 50°

    Answer: 160.9cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 1:3. Find a:b:c.

    Answer: 4:2:6
  5. 5. Statistics

    Find the mean, median and range of: 47, 27, 37, 54, 80, 98, 24, 97, 83

    Answer: Mean = 60.8, Median = 54, Range = 74

Friday 5 October 2018

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 3x

    Answer: (x + 1.5)² - 2.25
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 18cm, angle = 49°

    Answer: 197cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 2:3. Find a:b:c.

    Answer: 4:6:9
  5. 5. Statistics

    Find the mean, median and range of: 93, 44, 90, 54, 97, 13, 66, 65, 55

    Answer: Mean = 64.1, Median = 65, Range = 84