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Capstone Feb 17 - 23 25 questions
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Monday 17 February 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 2.2x

    Answer: (x + 1.1)² - 1.21
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 28cm, angle = 65°

    Answer: 228.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 61, 72, 58, 43, 46, 34, 94, 64, 68

    Answer: Mean = 60, Median = 61, Range = 60

Tuesday 18 February 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 5.4x

    Answer: (x + 2.7)² - 7.29
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 13cm, angle = 75°

    Answer: 144.4cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 3:4. Find a:b:c.

    Answer: 12:6:8
  5. 5. Statistics

    Find the mean, median and range of: 92, 64, 55, 55, 31, 61, 81, 19

    Answer: Mean = 57.3, Median = 61, Range = 73

Wednesday 19 February 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 4.6x

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

    Find area of triangle: a = 13cm, b = 16cm, angle = 63°

    Answer: 92.7cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 4:5. Find a:b:c.

    Answer: 8:12:15
  5. 5. Statistics

    Find the mean, median and range of: 85, 33, 20, 34, 19, 26, 75

    Answer: Mean = 41.7, Median = 33, Range = 66

Thursday 20 February 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 5.8x

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

    Find area of triangle: a = 24cm, b = 20cm, angle = 40°

    Answer: 154.3cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 2:5. Find a:b:c.

    Answer: 2:4:10
  5. 5. Statistics

    Find the mean, median and range of: 19, 70, 35, 87, 50, 65, 45

    Answer: Mean = 53, Median = 50, Range = 68

Friday 21 February 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 5.2x

    Answer: (x + 2.6)² - 6.76
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 27cm, angle = 41°

    Answer: 230.3cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 2:5. Find a:b:c.

    Answer: 8:6:15
  5. 5. Statistics

    Find the mean, median and range of: 14, 68, 29, 16, 63, 16, 39

    Answer: Mean = 35, Median = 29, Range = 54