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Capstone Jan 23 - 29 25 questions
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Monday 23 January 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 25cm, b = 20cm, angle = 79°

    Answer: 245.4cm²
  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: 19, 64, 16, 42, 59, 96, 83, 76

    Answer: Mean = 56.9, Median = 64, Range = 80

Tuesday 24 January 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 5.6x

    Answer: (x + 2.8)² - 7.84
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 25cm, angle = 76°

    Answer: 230.4cm²
  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: 29, 82, 48, 28, 19, 19, 48, 75

    Answer: Mean = 43.5, Median = 48, Range = 63

Wednesday 25 January 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 2.4x

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

    Find area of triangle: a = 27cm, b = 22cm, angle = 60°

    Answer: 257.2cm²
  4. 4. Ratio

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

    Answer: 8:4:6
  5. 5. Statistics

    Find the mean, median and range of: 29, 90, 25, 21, 56, 74, 82, 13, 88

    Answer: Mean = 53.1, Median = 56, Range = 77

Thursday 26 January 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 2.8x

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

    Find area of triangle: a = 29cm, b = 21cm, angle = 43°

    Answer: 207.7cm²
  4. 4. Ratio

    a:b is 4:3 and b:c is 1:2. Find a:b:c.

    Answer: 4:3:6
  5. 5. Statistics

    Find the mean, median and range of: 70, 57, 36, 74, 26, 30, 17, 51

    Answer: Mean = 45.1, Median = 51, Range = 57

Friday 27 January 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 3.8x

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

    Find area of triangle: a = 16cm, b = 14cm, angle = 44°

    Answer: 77.8cm²
  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: 26, 93, 46, 72, 71, 37, 72

    Answer: Mean = 59.6, Median = 71, Range = 67