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Capstone Jan 2 - 8 25 questions
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Monday 2 January 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√3
  2. 2. Algebra

    Complete the square: x² + 4x

    Answer: (x + 2)² - 4
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 22cm, angle = 51°

    Answer: 179.5cm²
  4. 4. Ratio

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

    Answer: 8:6:18
  5. 5. Statistics

    Find the mean, median and range of: 11, 14, 55, 48, 74, 90, 39

    Answer: Mean = 47.3, Median = 48, Range = 79

Tuesday 3 January 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√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 = 21cm, b = 20cm, angle = 67°

    Answer: 193.3cm²
  4. 4. Ratio

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

    Answer: 8:6:12
  5. 5. Statistics

    Find the mean, median and range of: 71, 28, 24, 16, 54, 67, 22, 62

    Answer: Mean = 43, Median = 54, Range = 55

Wednesday 4 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 = 12cm, b = 27cm, angle = 59°

    Answer: 138.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 33, 76, 30, 59, 14, 81, 19, 100

    Answer: Mean = 51.5, Median = 59, Range = 86

Thursday 5 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 + 3.4x

    Answer: (x + 1.7)² - 2.89
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 18cm, angle = 63°

    Answer: 168.4cm²
  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: 42, 38, 39, 43, 17, 36, 47, 93

    Answer: Mean = 44.4, Median = 42, Range = 76

Friday 6 January 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 28cm, b = 17cm, angle = 40°

    Answer: 153cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 41, 54, 40, 45, 57, 17, 89, 30

    Answer: Mean = 46.6, Median = 45, Range = 72