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Capstone Jan 24 - 30 25 questions
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Monday 24 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 5.6x

    Answer: (x + 2.8)² - 7.84
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 24cm, angle = 47°

    Answer: 254.5cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 84, 80, 15, 65, 90, 66, 68, 91

    Answer: Mean = 69.9, Median = 80, Range = 76

Tuesday 25 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 5.2x

    Answer: (x + 2.6)² - 6.76
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 24cm, angle = 45°

    Answer: 110.3cm²
  4. 4. Ratio

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

    Answer: 6:12:24
  5. 5. Statistics

    Find the mean, median and range of: 39, 88, 33, 56, 62, 65, 90, 89, 32

    Answer: Mean = 61.6, Median = 62, Range = 58

Wednesday 26 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√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 = 12cm, b = 18cm, angle = 75°

    Answer: 104.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 95, 85, 30, 28, 75, 40, 73, 93

    Answer: Mean = 64.9, Median = 75, Range = 67

Thursday 27 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 6x

    Answer: (x + 3)² - 9
  3. 3. Geometry

    Find area of triangle: a = 17cm, b = 25cm, angle = 72°

    Answer: 202.cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 19, 49, 66, 94, 32, 63, 41

    Answer: Mean = 52, Median = 49, Range = 75

Friday 28 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 5.4x

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

    Find area of triangle: a = 21cm, b = 22cm, angle = 46°

    Answer: 166.2cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 25, 99, 94, 54, 14, 76, 91, 48, 87

    Answer: Mean = 65.3, Median = 76, Range = 85