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Capstone Jul 6 - 12 25 questions
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Monday 6 July 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5x

    Answer: (x + 2.5)² - 6.25
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 26cm, angle = 56°

    Answer: 247.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 22, 68, 19, 44, 47, 61, 71, 49, 25

    Answer: Mean = 45.1, Median = 47, Range = 52

Tuesday 7 July 2020

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 = 19cm, b = 30cm, angle = 55°

    Answer: 233.5cm²
  4. 4. Ratio

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

    Answer: 4:6:18
  5. 5. Statistics

    Find the mean, median and range of: 77, 90, 99, 35, 93, 66, 26, 64

    Answer: Mean = 68.8, Median = 77, Range = 73

Wednesday 8 July 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 2.2x

    Answer: (x + 1.1)² - 1.21
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 14cm, angle = 62°

    Answer: 136cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 22, 69, 99, 51, 95, 56, 78, 89

    Answer: Mean = 69.9, Median = 78, Range = 77

Thursday 9 July 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√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 = 17cm, b = 14cm, angle = 80°

    Answer: 117.2cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 90, 10, 95, 43, 26, 91, 35

    Answer: Mean = 55.7, Median = 43, Range = 85

Friday 10 July 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 20cm, b = 29cm, angle = 75°

    Answer: 280.cm²
  4. 4. Ratio

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

    Answer: 3:2:6
  5. 5. Statistics

    Find the mean, median and range of: 92, 47, 12, 58, 99, 39, 63

    Answer: Mean = 58.6, Median = 58, Range = 87