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Capstone Aug 25 - 31 25 questions
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Monday 25 August 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 4.4x

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

    Find area of triangle: a = 29cm, b = 14cm, angle = 44°

    Answer: 141cm²
  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: 70, 28, 69, 21, 36, 46, 62

    Answer: Mean = 47.4, Median = 46, Range = 49

Tuesday 26 August 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 2x

    Answer: (x + 1)² - 1
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 17cm, angle = 60°

    Answer: 117.8cm²
  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: 20, 68, 21, 18, 10, 54, 61, 17

    Answer: Mean = 33.6, Median = 21, Range = 58

Wednesday 27 August 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 3.6x

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

    Find area of triangle: a = 16cm, b = 27cm, angle = 54°

    Answer: 174.7cm²
  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: 94, 50, 88, 97, 88, 41, 67

    Answer: Mean = 75, Median = 88, Range = 56

Thursday 28 August 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 = 24cm, b = 23cm, angle = 77°

    Answer: 268.9cm²
  4. 4. Ratio

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

    Answer: 3:4:10
  5. 5. Statistics

    Find the mean, median and range of: 69, 63, 54, 81, 53, 99, 20

    Answer: Mean = 62.7, Median = 63, Range = 79

Friday 29 August 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 17cm, b = 25cm, angle = 66°

    Answer: 194.cm²
  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: 61, 86, 36, 35, 80, 81, 47, 35

    Answer: Mean = 57.6, Median = 61, Range = 51