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Capstone Oct 26 - Nov 1 25 questions
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Monday 26 October 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√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 = 22cm, b = 22cm, angle = 50°

    Answer: 185.4cm²
  4. 4. Ratio

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

    Answer: 3:4:8
  5. 5. Statistics

    Find the mean, median and range of: 11, 91, 74, 63, 56, 35, 94, 56, 31

    Answer: Mean = 56.8, Median = 56, Range = 83

Tuesday 27 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 + 4.4x

    Answer: (x + 2.2)² - 4.84
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 16cm, angle = 53°

    Answer: 127.8cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 64, 56, 60, 79, 73, 58, 90, 35

    Answer: Mean = 64.4, Median = 64, Range = 55

Wednesday 28 October 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 26cm, b = 21cm, angle = 72°

    Answer: 259.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 58, 74, 20, 61, 71, 78, 14, 99, 16

    Answer: Mean = 54.6, Median = 61, Range = 85

Thursday 29 October 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 3x

    Answer: (x + 1.5)² - 2.25
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 15cm, angle = 46°

    Answer: 102.5cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 81, 81, 76, 100, 71, 87, 79, 64

    Answer: Mean = 79.9, Median = 81, Range = 36

Friday 30 October 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 4.8x

    Answer: (x + 2.4)² - 5.76
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 18cm, angle = 71°

    Answer: 178.7cm²
  4. 4. Ratio

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

    Answer: 8:12:9
  5. 5. Statistics

    Find the mean, median and range of: 20, 69, 24, 50, 92, 87, 63, 78, 34

    Answer: Mean = 57.4, Median = 63, Range = 72