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Capstone Jan 25 - 31 25 questions
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Monday 25 January 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 2.4x

    Answer: (x + 1.2)² - 1.44
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 25cm, angle = 77°

    Answer: 280.cm²
  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: 36, 39, 58, 19, 94, 53, 91, 47, 74

    Answer: Mean = 56.8, Median = 53, Range = 75

Tuesday 26 January 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√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 = 27cm, b = 13cm, angle = 66°

    Answer: 160.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 67, 72, 65, 26, 98, 56, 50

    Answer: Mean = 62, Median = 65, Range = 72

Wednesday 27 January 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 4.2x

    Answer: (x + 2.1)² - 4.41
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 26cm, angle = 49°

    Answer: 274.7cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 59, 13, 95, 41, 66, 26, 36, 96, 53

    Answer: Mean = 53.9, Median = 53, Range = 83

Thursday 28 January 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 2.6x

    Answer: (x + 1.3)² - 1.69
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 22cm, angle = 64°

    Answer: 286.7cm²
  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: 95, 58, 67, 16, 54, 87, 55, 81, 60

    Answer: Mean = 63.7, Median = 60, Range = 79

Friday 29 January 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√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 = 26cm, b = 25cm, angle = 44°

    Answer: 225.8cm²
  4. 4. Ratio

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

    Answer: 16:12:15
  5. 5. Statistics

    Find the mean, median and range of: 70, 25, 57, 41, 56, 26, 31, 86

    Answer: Mean = 49, Median = 56, Range = 61