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Capstone Mar 3 - 9 25 questions
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Monday 3 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 = 14cm, b = 17cm, angle = 63°

    Answer: 106cm²
  4. 4. Ratio

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

    Answer: 9:6:10
  5. 5. Statistics

    Find the mean, median and range of: 87, 30, 83, 50, 55, 97, 24, 37

    Answer: Mean = 57.9, Median = 55, Range = 73

Tuesday 4 March 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  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 = 27cm, angle = 63°

    Answer: 144.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 48, 50, 51, 66, 62, 42, 28, 95

    Answer: Mean = 55.3, Median = 51, Range = 67

Wednesday 5 March 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√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 = 13cm, b = 14cm, angle = 78°

    Answer: 89cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 63, 72, 42, 45, 35, 54, 90

    Answer: Mean = 57.3, Median = 54, Range = 55

Thursday 6 March 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  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 = 28cm, angle = 41°

    Answer: 275.5cm²
  4. 4. Ratio

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

    Answer: 8:12:9
  5. 5. Statistics

    Find the mean, median and range of: 14, 80, 19, 20, 58, 80, 83, 20

    Answer: Mean = 46.8, Median = 58, Range = 69

Friday 7 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 + 2.2x

    Answer: (x + 1.1)² - 1.21
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 16cm, angle = 72°

    Answer: 220.6cm²
  4. 4. Ratio

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

    Answer: 6:12:24
  5. 5. Statistics

    Find the mean, median and range of: 88, 29, 51, 94, 48, 78, 59

    Answer: Mean = 63.9, Median = 59, Range = 65