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Capstone Oct 14 - 20 25 questions
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Monday 14 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 5.4x

    Answer: (x + 2.7)² - 7.29
  3. 3. Geometry

    Find area of triangle: a = 18cm, b = 30cm, angle = 65°

    Answer: 244.7cm²
  4. 4. Ratio

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

    Answer: 9:12:20
  5. 5. Statistics

    Find the mean, median and range of: 78, 10, 50, 65, 92, 53, 41, 40, 42

    Answer: Mean = 52.3, Median = 50, Range = 82

Tuesday 15 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 3.2x

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

    Find area of triangle: a = 26cm, b = 30cm, angle = 63°

    Answer: 347.5cm²
  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: 12, 31, 14, 51, 15, 64, 30, 63, 60

    Answer: Mean = 37.8, Median = 31, Range = 52

Wednesday 16 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  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 = 15cm, angle = 48°

    Answer: 161.6cm²
  4. 4. Ratio

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

    Answer: 2:4:3
  5. 5. Statistics

    Find the mean, median and range of: 20, 35, 38, 58, 26, 18, 82, 12, 71

    Answer: Mean = 40, Median = 35, Range = 70

Thursday 17 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 23cm, b = 22cm, angle = 65°

    Answer: 229.3cm²
  4. 4. Ratio

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

    Answer: 8:6:18
  5. 5. Statistics

    Find the mean, median and range of: 20, 23, 87, 55, 51, 86, 31, 83, 24

    Answer: Mean = 51.1, Median = 51, Range = 67

Friday 18 October 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√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 = 19cm, b = 27cm, angle = 42°

    Answer: 171.6cm²
  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: 34, 35, 70, 94, 43, 86, 39, 23

    Answer: Mean = 53, Median = 43, Range = 71