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Capstone Dec 12 - 18 25 questions
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Monday 12 December 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 = 15cm, b = 25cm, angle = 59°

    Answer: 160.7cm²
  4. 4. Ratio

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

    Answer: 6:12:24
  5. 5. Statistics

    Find the mean, median and range of: 46, 75, 51, 90, 98, 90, 49, 57, 50

    Answer: Mean = 67.3, Median = 57, Range = 52

Tuesday 13 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 + 4x

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

    Find area of triangle: a = 16cm, b = 23cm, angle = 76°

    Answer: 178.5cm²
  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: 14, 18, 55, 19, 48, 77, 66

    Answer: Mean = 42.4, Median = 48, Range = 63

Wednesday 14 December 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 3.6x

    Answer: (x + 1.8)² - 3.24
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 21cm, angle = 79°

    Answer: 144.3cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 3:5. Find a:b:c.

    Answer: 9:12:20
  5. 5. Statistics

    Find the mean, median and range of: 49, 34, 28, 74, 17, 26, 72, 25

    Answer: Mean = 40.6, Median = 34, Range = 57

Thursday 15 December 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√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 = 22cm, b = 30cm, angle = 75°

    Answer: 318.8cm²
  4. 4. Ratio

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

    Answer: 2:4:12
  5. 5. Statistics

    Find the mean, median and range of: 94, 50, 80, 44, 88, 18, 75, 25

    Answer: Mean = 59.3, Median = 75, Range = 76

Friday 16 December 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 2.8x

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

    Find area of triangle: a = 28cm, b = 22cm, angle = 58°

    Answer: 261.2cm²
  4. 4. Ratio

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

    Answer: 2:4:3
  5. 5. Statistics

    Find the mean, median and range of: 56, 37, 88, 81, 40, 56, 33, 93

    Answer: Mean = 60.5, Median = 56, Range = 60