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Capstone Jan 16 - 22 25 questions
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Monday 16 January 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 2.4x

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

    Find area of triangle: a = 16cm, b = 20cm, angle = 66°

    Answer: 146.2cm²
  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: 45, 93, 17, 34, 19, 30, 93, 14

    Answer: Mean = 43.1, Median = 34, Range = 79

Tuesday 17 January 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√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 = 19cm, angle = 66°

    Answer: 182.3cm²
  4. 4. Ratio

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

    Answer: 6:12:16
  5. 5. Statistics

    Find the mean, median and range of: 90, 39, 38, 26, 41, 19, 88, 88

    Answer: Mean = 53.6, Median = 41, Range = 71

Wednesday 18 January 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 5x

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

    Find area of triangle: a = 18cm, b = 17cm, angle = 75°

    Answer: 147.8cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 50, 26, 88, 93, 55, 72, 38

    Answer: Mean = 60.3, Median = 55, Range = 67

Thursday 19 January 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 4.4x

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

    Find area of triangle: a = 14cm, b = 23cm, angle = 65°

    Answer: 145.9cm²
  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: 76, 38, 48, 69, 17, 43, 67, 96

    Answer: Mean = 56.8, Median = 67, Range = 79

Friday 20 January 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√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 = 22cm, b = 16cm, angle = 67°

    Answer: 162cm²
  4. 4. Ratio

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

    Answer: 2:4:12
  5. 5. Statistics

    Find the mean, median and range of: 92, 96, 77, 48, 31, 17, 54, 17, 39

    Answer: Mean = 52.3, Median = 48, Range = 79