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Capstone Nov 11 - 17 25 questions
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Monday 11 November 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 18cm, angle = 68°

    Answer: 225.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 18, 81, 99, 81, 76, 57, 26, 57, 48

    Answer: Mean = 60.3, Median = 57, Range = 81

Tuesday 12 November 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2x

    Answer: (x + 1)² - 1
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 27cm, angle = 67°

    Answer: 335.5cm²
  4. 4. Ratio

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

    Answer: 9:6:12
  5. 5. Statistics

    Find the mean, median and range of: 19, 51, 82, 12, 17, 85, 61, 78

    Answer: Mean = 50.6, Median = 61, Range = 73

Wednesday 13 November 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 6x

    Answer: (x + 3)² - 9
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 14cm, angle = 45°

    Answer: 113.8cm²
  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: 77, 87, 46, 46, 82, 68, 74, 36, 82

    Answer: Mean = 66.4, Median = 74, Range = 51

Thursday 14 November 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 4.6x

    Answer: (x + 2.3)² - 5.29
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 26cm, angle = 50°

    Answer: 149.4cm²
  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: 89, 80, 63, 52, 76, 77, 48, 39, 19

    Answer: Mean = 60.3, Median = 63, Range = 70

Friday 15 November 2024

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 = 16cm, angle = 76°

    Answer: 163cm²
  4. 4. Ratio

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

    Answer: 16:12:15
  5. 5. Statistics

    Find the mean, median and range of: 36, 21, 43, 78, 20, 21, 87, 77, 46

    Answer: Mean = 47.7, Median = 43, Range = 67