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Capstone Feb 25 - Mar 3 25 questions
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Monday 25 February 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 5.6x

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

    Find area of triangle: a = 18cm, b = 23cm, angle = 69°

    Answer: 193.3cm²
  4. 4. Ratio

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

    Answer: 8:4:6
  5. 5. Statistics

    Find the mean, median and range of: 18, 83, 53, 51, 81, 11, 14

    Answer: Mean = 44.4, Median = 51, Range = 72

Tuesday 26 February 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  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 = 28cm, angle = 73°

    Answer: 254.4cm²
  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: 98, 56, 42, 39, 26, 77, 62, 85

    Answer: Mean = 60.6, Median = 62, Range = 72

Wednesday 27 February 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 2.4x

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

    Find area of triangle: a = 25cm, b = 26cm, angle = 67°

    Answer: 299.2cm²
  4. 4. Ratio

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

    Answer: 2:4:6
  5. 5. Statistics

    Find the mean, median and range of: 69, 24, 43, 83, 87, 91, 47

    Answer: Mean = 63.4, Median = 69, Range = 67

Thursday 28 February 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 5.4x

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

    Find area of triangle: a = 16cm, b = 16cm, angle = 79°

    Answer: 125.6cm²
  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: 27, 70, 48, 37, 70, 10, 34, 95, 32

    Answer: Mean = 47, Median = 37, Range = 85

Friday 1 March 2019

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√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 = 13cm, b = 13cm, angle = 74°

    Answer: 81.2cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 3:5. Find a:b:c.

    Answer: 12:6:10
  5. 5. Statistics

    Find the mean, median and range of: 40, 67, 33, 71, 90, 77, 11, 41, 95

    Answer: Mean = 58.3, Median = 67, Range = 84