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Capstone Oct 24 - 30 25 questions
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Monday 24 October 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 4.8x

    Answer: (x + 2.4)² - 5.76
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 14cm, angle = 52°

    Answer: 143.4cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 3:5. Find a:b:c.

    Answer: 6:12:20
  5. 5. Statistics

    Find the mean, median and range of: 40, 86, 86, 45, 73, 98, 34

    Answer: Mean = 66, Median = 73, Range = 64

Tuesday 25 October 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√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 = 30cm, b = 24cm, angle = 41°

    Answer: 236.2cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 25, 10, 63, 48, 63, 48, 70

    Answer: Mean = 46.7, Median = 48, Range = 60

Wednesday 26 October 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√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 = 18cm, b = 25cm, angle = 67°

    Answer: 207.cm²
  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: 71, 30, 75, 29, 69, 68, 36, 59

    Answer: Mean = 54.6, Median = 68, Range = 46

Thursday 27 October 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 2x

    Answer: (x + 1)² - 1
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 25cm, angle = 46°

    Answer: 233.8cm²
  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: 39, 56, 32, 59, 25, 66, 88

    Answer: Mean = 52.1, Median = 56, Range = 63

Friday 28 October 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 4.4x

    Answer: (x + 2.2)² - 4.84
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 25cm, angle = 63°

    Answer: 133.7cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 97, 18, 30, 73, 67, 67, 90, 49

    Answer: Mean = 61.4, Median = 67, Range = 79