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Capstone Aug 9 - 15 25 questions
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Monday 9 August 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√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 = 18cm, b = 19cm, angle = 76°

    Answer: 165.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 50, 32, 48, 94, 87, 72, 50, 81, 92

    Answer: Mean = 67.3, Median = 72, Range = 62

Tuesday 10 August 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 4.2x

    Answer: (x + 2.1)² - 4.41
  3. 3. Geometry

    Find area of triangle: a = 24cm, b = 14cm, angle = 61°

    Answer: 146.9cm²
  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: 42, 20, 34, 23, 94, 49, 48

    Answer: Mean = 44.3, Median = 42, Range = 74

Wednesday 11 August 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 4.4x

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

    Find area of triangle: a = 18cm, b = 27cm, angle = 76°

    Answer: 235.8cm²
  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: 85, 27, 62, 13, 34, 95, 17, 71, 67

    Answer: Mean = 52.3, Median = 62, Range = 82

Thursday 12 August 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 4.8x

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

    Find area of triangle: a = 22cm, b = 14cm, angle = 79°

    Answer: 151.2cm²
  4. 4. Ratio

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

    Answer: 4:3:6
  5. 5. Statistics

    Find the mean, median and range of: 37, 36, 62, 60, 35, 19, 53, 78, 87

    Answer: Mean = 51.9, Median = 53, Range = 68

Friday 13 August 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 5.6x

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

    Find area of triangle: a = 17cm, b = 29cm, angle = 53°

    Answer: 196.9cm²
  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: 12, 26, 88, 11, 34, 51, 27

    Answer: Mean = 35.6, Median = 27, Range = 77