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Capstone Jan 10 - 16 25 questions
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Monday 10 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 2.2x

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

    Find area of triangle: a = 18cm, b = 17cm, angle = 55°

    Answer: 125.3cm²
  4. 4. Ratio

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

    Answer: 16:12:18
  5. 5. Statistics

    Find the mean, median and range of: 23, 47, 95, 58, 70, 97, 48, 75

    Answer: Mean = 64.1, Median = 70, Range = 74

Tuesday 11 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 + 4.2x

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

    Find area of triangle: a = 14cm, b = 25cm, angle = 68°

    Answer: 162.3cm²
  4. 4. Ratio

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

    Answer: 9:12:16
  5. 5. Statistics

    Find the mean, median and range of: 75, 17, 31, 40, 26, 30, 61, 72, 88

    Answer: Mean = 48.9, Median = 40, Range = 71

Wednesday 12 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 2.8x

    Answer: (x + 1.4)² - 1.96
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 16cm, angle = 66°

    Answer: 109.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 96, 64, 80, 24, 97, 76, 13, 59, 86

    Answer: Mean = 66.1, Median = 76, Range = 84

Thursday 13 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√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 = 21cm, b = 23cm, angle = 61°

    Answer: 211.2cm²
  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: 35, 22, 98, 56, 83, 78, 94, 94

    Answer: Mean = 70, Median = 83, Range = 76

Friday 14 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  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 = 71°

    Answer: 102.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: 85, 72, 13, 49, 72, 80, 84, 34

    Answer: Mean = 61.1, Median = 72, Range = 72