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Capstone Apr 21 - 27 25 questions
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Monday 21 April 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√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 = 25cm, b = 17cm, angle = 75°

    Answer: 205.3cm²
  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: 44, 38, 71, 61, 34, 69, 23, 83, 46

    Answer: Mean = 52.1, Median = 46, Range = 60

Tuesday 22 April 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 3.6x

    Answer: (x + 1.8)² - 3.24
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 23cm, angle = 75°

    Answer: 133.3cm²
  4. 4. Ratio

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

    Answer: 3:4:8
  5. 5. Statistics

    Find the mean, median and range of: 69, 53, 48, 50, 62, 81, 75

    Answer: Mean = 62.6, Median = 62, Range = 33

Wednesday 23 April 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 3.2x

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

    Find area of triangle: a = 23cm, b = 29cm, angle = 68°

    Answer: 309.2cm²
  4. 4. Ratio

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

    Answer: 8:4:6
  5. 5. Statistics

    Find the mean, median and range of: 12, 10, 87, 57, 80, 26, 35, 74, 49

    Answer: Mean = 47.8, Median = 49, Range = 77

Thursday 24 April 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 4.4x

    Answer: (x + 2.2)² - 4.84
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 30cm, angle = 41°

    Answer: 157.5cm²
  4. 4. Ratio

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

    Answer: 8:6:12
  5. 5. Statistics

    Find the mean, median and range of: 36, 40, 73, 80, 24, 21, 60

    Answer: Mean = 47.7, Median = 40, Range = 59

Friday 25 April 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 4.6x

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

    Find area of triangle: a = 16cm, b = 14cm, angle = 53°

    Answer: 89.4cm²
  4. 4. Ratio

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

    Answer: 8:12:18
  5. 5. Statistics

    Find the mean, median and range of: 62, 96, 16, 14, 58, 93, 89, 93, 65

    Answer: Mean = 65.1, Median = 65, Range = 82