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Capstone Mar 29 - Apr 4 25 questions
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Monday 29 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√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 = 28cm, angle = 64°

    Answer: 352.3cm²
  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: 74, 26, 17, 14, 33, 68, 15, 38

    Answer: Mean = 35.6, Median = 33, Range = 60

Tuesday 30 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 28cm, b = 24cm, angle = 65°

    Answer: 304.5cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 77, 45, 30, 89, 78, 37, 41, 98, 75

    Answer: Mean = 63.3, Median = 75, Range = 68

Wednesday 31 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√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 = 12cm, b = 18cm, angle = 51°

    Answer: 83.9cm²
  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: 15, 15, 81, 81, 23, 81, 70, 49

    Answer: Mean = 51.9, Median = 70, Range = 66

Thursday 1 April 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 2.4x

    Answer: (x + 1.2)² - 1.44
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 29cm, angle = 74°

    Answer: 278.8cm²
  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: 24, 89, 89, 23, 90, 55, 18

    Answer: Mean = 55.4, Median = 55, Range = 72

Friday 2 April 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 2.2x

    Answer: (x + 1.1)² - 1.21
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 30cm, angle = 78°

    Answer: 278.8cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 31, 74, 57, 100, 31, 63, 83, 82, 44

    Answer: Mean = 62.8, Median = 63, Range = 69