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Capstone Nov 18 - 24 25 questions
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Monday 18 November 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 3x

    Answer: (x + 1.5)² - 2.25
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 25cm, angle = 59°

    Answer: 246.4cm²
  4. 4. Ratio

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

    Answer: 4:6:9
  5. 5. Statistics

    Find the mean, median and range of: 77, 91, 57, 65, 12, 32, 92, 19

    Answer: Mean = 55.6, Median = 65, Range = 80

Tuesday 19 November 2024

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 = 16cm, b = 29cm, angle = 52°

    Answer: 182.8cm²
  4. 4. Ratio

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

    Answer: 2:4:8
  5. 5. Statistics

    Find the mean, median and range of: 59, 55, 50, 53, 41, 67, 10, 45, 86

    Answer: Mean = 51.8, Median = 53, Range = 76

Wednesday 20 November 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 28cm, b = 28cm, angle = 79°

    Answer: 384.8cm²
  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: 22, 75, 56, 77, 18, 37, 66, 66

    Answer: Mean = 52.1, Median = 66, Range = 59

Thursday 21 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 + 2.2x

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

    Find area of triangle: a = 12cm, b = 29cm, angle = 49°

    Answer: 131.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 28, 75, 17, 45, 90, 86, 62

    Answer: Mean = 57.6, Median = 62, Range = 73

Friday 22 November 2024

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 = 13cm, b = 18cm, angle = 72°

    Answer: 111.3cm²
  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: 22, 91, 52, 17, 26, 89, 51

    Answer: Mean = 49.7, Median = 51, Range = 74