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Capstone Mar 24 - 30 25 questions
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Monday 24 March 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 3.4x

    Answer: (x + 1.7)² - 2.89
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 20cm, angle = 47°

    Answer: 168.2cm²
  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: 64, 13, 10, 74, 78, 40, 46, 51

    Answer: Mean = 47, Median = 51, Range = 68

Tuesday 25 March 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 2.6x

    Answer: (x + 1.3)² - 1.69
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 24cm, angle = 52°

    Answer: 198.6cm²
  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: 25, 86, 92, 58, 43, 25, 97

    Answer: Mean = 60.9, Median = 58, Range = 72

Wednesday 26 March 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 5.6x

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

    Find area of triangle: a = 13cm, b = 21cm, angle = 74°

    Answer: 131.2cm²
  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: 97, 38, 86, 62, 42, 66, 53, 14

    Answer: Mean = 57.3, Median = 62, Range = 83

Thursday 27 March 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√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 = 17cm, b = 21cm, angle = 50°

    Answer: 136.7cm²
  4. 4. Ratio

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

    Answer: 9:6:8
  5. 5. Statistics

    Find the mean, median and range of: 68, 81, 76, 33, 74, 49, 38

    Answer: Mean = 59.9, Median = 68, Range = 48

Friday 28 March 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 4.8x

    Answer: (x + 2.4)² - 5.76
  3. 3. Geometry

    Find area of triangle: a = 25cm, b = 29cm, angle = 64°

    Answer: 325.8cm²
  4. 4. Ratio

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

    Answer: 6:4:3
  5. 5. Statistics

    Find the mean, median and range of: 72, 92, 92, 21, 79, 48, 42, 13, 90

    Answer: Mean = 61, Median = 72, Range = 79