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Capstone Dec 20 - 26 25 questions
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Monday 20 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√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 = 26cm, b = 22cm, angle = 48°

    Answer: 212.5cm²
  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: 41, 98, 95, 89, 69, 29, 58, 84

    Answer: Mean = 70.4, Median = 84, Range = 69

Tuesday 21 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 2.8x

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

    Find area of triangle: a = 19cm, b = 18cm, angle = 77°

    Answer: 166.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 91, 20, 23, 94, 26, 71, 85, 55, 25

    Answer: Mean = 54.4, Median = 55, Range = 74

Wednesday 22 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 2.4x

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

    Find area of triangle: a = 27cm, b = 30cm, angle = 66°

    Answer: 370cm²
  4. 4. Ratio

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

    Answer: 8:12:18
  5. 5. Statistics

    Find the mean, median and range of: 84, 65, 35, 42, 94, 10, 22, 34

    Answer: Mean = 48.3, Median = 42, Range = 84

Thursday 23 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√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 = 26cm, b = 12cm, angle = 68°

    Answer: 144.6cm²
  4. 4. Ratio

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

    Answer: 9:12:24
  5. 5. Statistics

    Find the mean, median and range of: 75, 47, 69, 19, 48, 19, 92

    Answer: Mean = 52.7, Median = 48, Range = 73

Friday 24 December 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 3.2x

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

    Find area of triangle: a = 28cm, b = 15cm, angle = 73°

    Answer: 200.8cm²
  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: 97, 77, 28, 56, 95, 64, 46

    Answer: Mean = 66.1, Median = 64, Range = 69