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Capstone Jun 13 - 19 25 questions
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Monday 13 June 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 2.6x

    Answer: (x + 1.3)² - 1.69
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 19cm, angle = 65°

    Answer: 198cm²
  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: 90, 42, 20, 65, 51, 60, 94, 83

    Answer: Mean = 63.1, Median = 65, Range = 74

Tuesday 14 June 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 4.2x

    Answer: (x + 2.1)² - 4.41
  3. 3. Geometry

    Find area of triangle: a = 13cm, b = 27cm, angle = 80°

    Answer: 172.8cm²
  4. 4. Ratio

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

    Answer: 9:6:8
  5. 5. Statistics

    Find the mean, median and range of: 99, 87, 95, 91, 76, 76, 63, 87

    Answer: Mean = 84.3, Median = 87, Range = 36

Wednesday 15 June 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 5.8x

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

    Find area of triangle: a = 29cm, b = 30cm, angle = 42°

    Answer: 291.cm²
  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: 95, 57, 95, 63, 71, 13, 48, 62, 18

    Answer: Mean = 58, Median = 62, Range = 82

Thursday 16 June 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√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 = 27cm, b = 24cm, angle = 56°

    Answer: 268.6cm²
  4. 4. Ratio

    a:b is 1:2 and b:c is 4:5. Find a:b:c.

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

    Find the mean, median and range of: 13, 84, 88, 88, 58, 92, 17, 62, 12

    Answer: Mean = 57.1, Median = 62, Range = 80

Friday 17 June 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2.8x

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

    Find area of triangle: a = 26cm, b = 24cm, angle = 46°

    Answer: 224.4cm²
  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: 37, 91, 46, 20, 95, 62, 77, 36, 32

    Answer: Mean = 55.1, Median = 46, Range = 75