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Capstone Dec 19 - 25 25 questions
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Monday 19 December 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 3.2x

    Answer: (x + 1.6)² - 2.56
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 14cm, angle = 45°

    Answer: 138.6cm²
  4. 4. Ratio

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

    Answer: 4:6:12
  5. 5. Statistics

    Find the mean, median and range of: 98, 81, 85, 22, 16, 13, 76, 80

    Answer: Mean = 58.9, Median = 80, Range = 85

Tuesday 20 December 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√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 = 13cm, b = 21cm, angle = 42°

    Answer: 91.3cm²
  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: 13, 50, 32, 58, 22, 75, 23, 23, 13

    Answer: Mean = 34.3, Median = 23, Range = 62

Wednesday 21 December 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 2.8x

    Answer: (x + 1.4)² - 1.96
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 20cm, angle = 48°

    Answer: 148.6cm²
  4. 4. Ratio

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

    Answer: 6:4:3
  5. 5. Statistics

    Find the mean, median and range of: 54, 50, 73, 53, 96, 55, 33, 19, 64

    Answer: Mean = 55.2, Median = 54, Range = 77

Thursday 22 December 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√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 = 23cm, b = 24cm, angle = 72°

    Answer: 262.5cm²
  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: 10, 96, 94, 56, 70, 80, 85, 54, 18

    Answer: Mean = 62.6, Median = 70, Range = 86

Friday 23 December 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  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 = 12cm, angle = 55°

    Answer: 137.6cm²
  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: 75, 46, 26, 65, 74, 59, 80

    Answer: Mean = 60.7, Median = 65, Range = 54