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Capstone Nov 4 - 10 25 questions
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Monday 4 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 + 3.2x

    Answer: (x + 1.6)² - 2.56
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 12cm, angle = 53°

    Answer: 62.3cm²
  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: 53, 71, 27, 66, 32, 11, 36, 16, 88

    Answer: Mean = 44.4, Median = 36, Range = 77

Tuesday 5 November 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 5.6x

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

    Find area of triangle: a = 21cm, b = 23cm, angle = 66°

    Answer: 220.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 42, 89, 79, 53, 12, 17, 23

    Answer: Mean = 45, Median = 42, Range = 77

Wednesday 6 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 + 4.2x

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

    Find area of triangle: a = 18cm, b = 26cm, angle = 57°

    Answer: 196.2cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 39, 77, 37, 46, 68, 43, 13, 34, 75

    Answer: Mean = 48, Median = 43, Range = 64

Thursday 7 November 2024

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 4.6x

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

    Find area of triangle: a = 30cm, b = 22cm, angle = 52°

    Answer: 260cm²
  4. 4. Ratio

    a:b is 2:3 and b:c is 2:5. Find a:b:c.

    Answer: 4:6:15
  5. 5. Statistics

    Find the mean, median and range of: 59, 76, 67, 86, 34, 16, 29, 93

    Answer: Mean = 57.5, Median = 67, Range = 77

Friday 8 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 + 5x

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

    Find area of triangle: a = 17cm, b = 15cm, angle = 77°

    Answer: 124.2cm²
  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: 79, 22, 48, 86, 60, 43, 34, 83

    Answer: Mean = 56.9, Median = 60, Range = 64