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Capstone May 9 - 15 25 questions
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Monday 9 May 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 3.8x

    Answer: (x + 1.9)² - 3.61
  3. 3. Geometry

    Find area of triangle: a = 27cm, b = 20cm, angle = 74°

    Answer: 259.5cm²
  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: 43, 25, 92, 23, 36, 89, 59, 86

    Answer: Mean = 56.6, Median = 59, Range = 69

Tuesday 10 May 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 12cm, b = 14cm, angle = 63°

    Answer: 74.8cm²
  4. 4. Ratio

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

    Answer: 8:4:5
  5. 5. Statistics

    Find the mean, median and range of: 43, 61, 95, 26, 72, 95, 17, 39

    Answer: Mean = 56, Median = 61, Range = 78

Wednesday 11 May 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 15cm, b = 20cm, angle = 76°

    Answer: 145.5cm²
  4. 4. Ratio

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

    Answer: 8:12:18
  5. 5. Statistics

    Find the mean, median and range of: 24, 70, 90, 59, 55, 83, 62, 68

    Answer: Mean = 63.9, Median = 68, Range = 66

Thursday 12 May 2022

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 = 24cm, b = 24cm, angle = 68°

    Answer: 267cm²
  4. 4. Ratio

    a:b is 3:4 and b:c is 2:5. Find a:b:c.

    Answer: 3:4:10
  5. 5. Statistics

    Find the mean, median and range of: 34, 57, 10, 80, 73, 85, 60

    Answer: Mean = 57, Median = 60, Range = 75

Friday 13 May 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 = 14cm, b = 13cm, angle = 68°

    Answer: 84.4cm²
  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: 31, 23, 65, 84, 31, 49, 30, 81, 61

    Answer: Mean = 50.6, Median = 49, Range = 61