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Capstone May 3 - 9 25 questions
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Monday 3 May 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  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 = 29cm, angle = 51°

    Answer: 293cm²
  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: 22, 17, 15, 96, 48, 34, 80, 31

    Answer: Mean = 42.9, Median = 34, Range = 81

Tuesday 4 May 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 4.2x

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

    Find area of triangle: a = 14cm, b = 21cm, angle = 68°

    Answer: 136.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 62, 77, 49, 46, 68, 70, 17, 57

    Answer: Mean = 55.8, Median = 62, Range = 60

Wednesday 5 May 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 2x

    Answer: (x + 1)² - 1
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 24cm, angle = 41°

    Answer: 220.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 32, 98, 50, 69, 12, 67, 97, 49, 59

    Answer: Mean = 59.2, Median = 59, Range = 86

Thursday 6 May 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√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 = 30cm, b = 19cm, angle = 44°

    Answer: 198cm²
  4. 4. Ratio

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

    Answer: 3:4:10
  5. 5. Statistics

    Find the mean, median and range of: 38, 36, 57, 30, 28, 71, 99, 15

    Answer: Mean = 46.8, Median = 38, Range = 84

Friday 7 May 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 3.8x

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

    Find area of triangle: a = 21cm, b = 12cm, angle = 55°

    Answer: 103.2cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 96, 79, 57, 68, 11, 93, 49, 61, 83

    Answer: Mean = 66.3, Median = 68, Range = 85