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Capstone Sep 28 - Oct 4 25 questions
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Monday 28 September 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√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 = 26cm, b = 29cm, angle = 65°

    Answer: 341.7cm²
  4. 4. Ratio

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

    Answer: 6:12:24
  5. 5. Statistics

    Find the mean, median and range of: 57, 86, 51, 96, 62, 49, 90

    Answer: Mean = 70.1, Median = 62, Range = 47

Tuesday 29 September 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 6x

    Answer: (x + 3)² - 9
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 22cm, angle = 77°

    Answer: 214.4cm²
  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: 81, 47, 40, 32, 10, 86, 17, 64

    Answer: Mean = 47.1, Median = 47, Range = 76

Wednesday 30 September 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 5.6x

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

    Find area of triangle: a = 28cm, b = 26cm, angle = 42°

    Answer: 243.6cm²
  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: 16, 98, 91, 52, 96, 16, 60, 55, 11

    Answer: Mean = 55, Median = 55, Range = 87

Thursday 1 October 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 5.2x

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

    Find area of triangle: a = 14cm, b = 14cm, angle = 65°

    Answer: 88.8cm²
  4. 4. Ratio

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

    Answer: 3:4:12
  5. 5. Statistics

    Find the mean, median and range of: 65, 11, 30, 25, 55, 81, 43

    Answer: Mean = 44.3, Median = 43, Range = 70

Friday 2 October 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√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 = 29cm, b = 16cm, angle = 77°

    Answer: 226.cm²
  4. 4. Ratio

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

    Answer: 6:12:16
  5. 5. Statistics

    Find the mean, median and range of: 33, 18, 70, 23, 86, 14, 41

    Answer: Mean = 40.7, Median = 33, Range = 72