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Capstone Nov 28 - Dec 4 25 questions
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Monday 28 November 2022

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 = 13cm, angle = 48°

    Answer: 58cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 96, 42, 53, 83, 48, 35, 97, 27

    Answer: Mean = 60.1, Median = 53, Range = 70

Tuesday 29 November 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 5.8x

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

    Find area of triangle: a = 20cm, b = 28cm, angle = 77°

    Answer: 272.8cm²
  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: 94, 33, 77, 49, 33, 60, 61, 73, 79

    Answer: Mean = 62.1, Median = 61, Range = 61

Wednesday 30 November 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 12cm, b = 17cm, angle = 56°

    Answer: 84.6cm²
  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: 45, 21, 62, 89, 17, 48, 72

    Answer: Mean = 50.6, Median = 48, Range = 72

Thursday 1 December 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 3.2x

    Answer: (x + 1.6)² - 2.56
  3. 3. Geometry

    Find area of triangle: a = 16cm, b = 16cm, angle = 63°

    Answer: 114cm²
  4. 4. Ratio

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

    Answer: 3:2:6
  5. 5. Statistics

    Find the mean, median and range of: 26, 65, 56, 19, 25, 62, 96

    Answer: Mean = 49.9, Median = 56, Range = 77

Friday 2 December 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√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 = 21cm, b = 13cm, angle = 51°

    Answer: 106.cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 38, 69, 62, 62, 80, 77, 28, 48, 20

    Answer: Mean = 53.8, Median = 62, Range = 60