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Capstone Feb 24 - Mar 2 25 questions
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Monday 24 February 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 17cm, b = 18cm, angle = 53°

    Answer: 122.2cm²
  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: 91, 76, 85, 75, 25, 100, 14, 12

    Answer: Mean = 59.8, Median = 76, Range = 88

Tuesday 25 February 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 2.4x

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

    Find area of triangle: a = 13cm, b = 21cm, angle = 80°

    Answer: 134.4cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 3:5. Find a:b:c.

    Answer: 6:12:20
  5. 5. Statistics

    Find the mean, median and range of: 36, 39, 83, 83, 13, 83, 37

    Answer: Mean = 53.4, Median = 39, Range = 70

Wednesday 26 February 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 17cm, b = 12cm, angle = 41°

    Answer: 66.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 80, 48, 31, 11, 97, 60, 17, 14, 53

    Answer: Mean = 45.7, Median = 48, Range = 86

Thursday 27 February 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 4x

    Answer: (x + 2)² - 4
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 22cm, angle = 45°

    Answer: 155.6cm²
  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: 89, 36, 19, 24, 16, 34, 76, 49, 71

    Answer: Mean = 46, Median = 36, Range = 73

Friday 28 February 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 2.8x

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

    Find area of triangle: a = 14cm, b = 23cm, angle = 43°

    Answer: 109.8cm²
  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: 13, 13, 78, 29, 74, 15, 12, 90, 12

    Answer: Mean = 37.3, Median = 15, Range = 78