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Capstone Feb 10 - 16 25 questions
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Monday 10 February 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 = 22cm, angle = 75°

    Answer: 170cm²
  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: 47, 64, 87, 63, 63, 47, 63, 44

    Answer: Mean = 59.8, Median = 63, Range = 43

Tuesday 11 February 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 5.4x

    Answer: (x + 2.7)² - 7.29
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 21cm, angle = 63°

    Answer: 243.2cm²
  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: 54, 59, 16, 64, 33, 53, 31

    Answer: Mean = 44.3, Median = 53, Range = 48

Wednesday 12 February 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 4.2x

    Answer: (x + 2.1)² - 4.41
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 24cm, angle = 65°

    Answer: 206.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 89, 54, 26, 62, 41, 46, 30, 62

    Answer: Mean = 51.3, Median = 54, Range = 63

Thursday 13 February 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 5.8x

    Answer: (x + 2.9)² - 8.41
  3. 3. Geometry

    Find area of triangle: a = 15cm, b = 28cm, angle = 65°

    Answer: 190.3cm²
  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: 13, 92, 57, 24, 94, 79, 58, 97, 44

    Answer: Mean = 62, Median = 58, Range = 84

Friday 14 February 2025

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2.8x

    Answer: (x + 1.4)² - 1.96
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 24cm, angle = 77°

    Answer: 327.4cm²
  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: 29, 35, 30, 73, 96, 42, 51

    Answer: Mean = 50.9, Median = 42, Range = 67