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Capstone Jan 30 - Feb 5 25 questions
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Monday 30 January 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 5.2x

    Answer: (x + 2.6)² - 6.76
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 24cm, angle = 60°

    Answer: 270.2cm²
  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, 66, 79, 40, 96, 50, 10

    Answer: Mean = 52.4, Median = 50, Range = 86

Tuesday 31 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 + 5.8x

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

    Find area of triangle: a = 27cm, b = 23cm, angle = 73°

    Answer: 296.9cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 44, 12, 82, 26, 85, 95, 92, 62, 79

    Answer: Mean = 64.1, Median = 79, Range = 83

Wednesday 1 February 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5.6x

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

    Find area of triangle: a = 29cm, b = 24cm, angle = 41°

    Answer: 228.3cm²
  4. 4. Ratio

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

    Answer: 4:6:9
  5. 5. Statistics

    Find the mean, median and range of: 71, 87, 16, 56, 80, 47, 89, 47, 12

    Answer: Mean = 56.1, Median = 56, Range = 77

Thursday 2 February 2023

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 = 20cm, b = 26cm, angle = 55°

    Answer: 213cm²
  4. 4. Ratio

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

    Answer: 9:12:24
  5. 5. Statistics

    Find the mean, median and range of: 17, 64, 81, 70, 28, 84, 85

    Answer: Mean = 61.3, Median = 70, Range = 68

Friday 3 February 2023

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 5.4x

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

    Find area of triangle: a = 18cm, b = 17cm, angle = 45°

    Answer: 108.2cm²
  4. 4. Ratio

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

    Answer: 2:4:6
  5. 5. Statistics

    Find the mean, median and range of: 41, 35, 100, 42, 43, 71, 13, 57, 80

    Answer: Mean = 53.6, Median = 43, Range = 87