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Capstone Apr 28 - May 4 25 questions
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Monday 28 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 + 3x

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

    Find area of triangle: a = 30cm, b = 27cm, angle = 40°

    Answer: 260.3cm²
  4. 4. Ratio

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

    Answer: 16:12:18
  5. 5. Statistics

    Find the mean, median and range of: 65, 87, 78, 60, 78, 75, 42

    Answer: Mean = 69.3, Median = 75, Range = 45

Tuesday 29 April 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 3.4x

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

    Find area of triangle: a = 29cm, b = 25cm, angle = 58°

    Answer: 307.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 89, 47, 34, 87, 41, 29, 22

    Answer: Mean = 49.9, Median = 41, Range = 67

Wednesday 30 April 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 = 17cm, b = 28cm, angle = 42°

    Answer: 159.3cm²
  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: 17, 60, 85, 25, 65, 60, 76

    Answer: Mean = 55.4, Median = 60, Range = 68

Thursday 1 May 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 = 26cm, b = 20cm, angle = 79°

    Answer: 255.2cm²
  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: 91, 26, 53, 48, 53, 67, 12, 47, 39

    Answer: Mean = 48.4, Median = 48, Range = 79

Friday 2 May 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 2.6x

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

    Find area of triangle: a = 25cm, b = 14cm, angle = 75°

    Answer: 169cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 2:5. Find a:b:c.

    Answer: 8:6:15
  5. 5. Statistics

    Find the mean, median and range of: 49, 21, 54, 80, 76, 90, 67

    Answer: Mean = 62.4, Median = 67, Range = 69