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Capstone Sep 21 - 27 25 questions
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Monday 21 September 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 5.4x

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

    Find area of triangle: a = 21cm, b = 25cm, angle = 51°

    Answer: 204cm²
  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: 24, 45, 39, 64, 71, 23, 64, 72, 39

    Answer: Mean = 49, Median = 45, Range = 49

Tuesday 22 September 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√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 = 27cm, b = 20cm, angle = 79°

    Answer: 265cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 4:5. Find a:b:c.

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

    Find the mean, median and range of: 40, 19, 59, 23, 27, 66, 11, 23, 39

    Answer: Mean = 34.1, Median = 27, Range = 55

Wednesday 23 September 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 26cm, angle = 47°

    Answer: 266.2cm²
  4. 4. Ratio

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

    Answer: 8:6:9
  5. 5. Statistics

    Find the mean, median and range of: 62, 20, 68, 19, 41, 97, 77, 30, 87

    Answer: Mean = 55.7, Median = 62, Range = 78

Thursday 24 September 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 3.6x

    Answer: (x + 1.8)² - 3.24
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 14cm, angle = 61°

    Answer: 140.8cm²
  4. 4. Ratio

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

    Answer: 8:4:6
  5. 5. Statistics

    Find the mean, median and range of: 42, 40, 35, 89, 52, 62, 94, 88

    Answer: Mean = 62.8, Median = 62, Range = 59

Friday 25 September 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 4.8x

    Answer: (x + 2.4)² - 5.76
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 13cm, angle = 59°

    Answer: 139.3cm²
  4. 4. Ratio

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

    Answer: 2:4:8
  5. 5. Statistics

    Find the mean, median and range of: 13, 87, 69, 39, 15, 98, 16, 50

    Answer: Mean = 48.4, Median = 50, Range = 85