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Capstone Jan 20 - 26 25 questions
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Monday 20 January 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 2.4x

    Answer: (x + 1.2)² - 1.44
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 18cm, angle = 64°

    Answer: 97.cm²
  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: 75, 54, 89, 96, 48, 18, 38

    Answer: Mean = 59.7, Median = 54, Range = 78

Tuesday 21 January 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 22cm, angle = 60°

    Answer: 276.3cm²
  4. 4. Ratio

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

    Answer: 16:12:9
  5. 5. Statistics

    Find the mean, median and range of: 40, 18, 53, 100, 18, 73, 89, 92

    Answer: Mean = 60.4, Median = 73, Range = 82

Wednesday 22 January 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  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 = 24cm, angle = 73°

    Answer: 183.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 56, 40, 11, 61, 93, 15, 44, 83, 64

    Answer: Mean = 51.9, Median = 56, Range = 82

Thursday 23 January 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 3.6x

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

    Find area of triangle: a = 24cm, b = 28cm, angle = 51°

    Answer: 261.cm²
  4. 4. Ratio

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

    Answer: 3:4:12
  5. 5. Statistics

    Find the mean, median and range of: 63, 32, 21, 98, 12, 28, 52, 39

    Answer: Mean = 43.1, Median = 39, Range = 86

Friday 24 January 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√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 = 20cm, b = 27cm, angle = 59°

    Answer: 231.4cm²
  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: 19, 73, 14, 78, 12, 52, 50, 73

    Answer: Mean = 46.4, Median = 52, Range = 66