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Capstone Sep 20 - 26 25 questions
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Monday 20 September 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 24cm, b = 29cm, angle = 48°

    Answer: 258.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 84, 92, 67, 71, 41, 97, 95, 44, 78

    Answer: Mean = 74.3, Median = 78, Range = 56

Tuesday 21 September 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√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 = 25cm, b = 22cm, angle = 73°

    Answer: 263cm²
  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: 44, 19, 32, 23, 59, 93, 64, 34

    Answer: Mean = 46, Median = 44, Range = 74

Wednesday 22 September 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√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 = 14cm, b = 13cm, angle = 61°

    Answer: 79.6cm²
  4. 4. Ratio

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

    Answer: 4:6:15
  5. 5. Statistics

    Find the mean, median and range of: 39, 56, 47, 77, 50, 42, 25

    Answer: Mean = 48, Median = 47, Range = 52

Thursday 23 September 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 2.4x

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

    Find area of triangle: a = 12cm, b = 24cm, angle = 78°

    Answer: 140.9cm²
  4. 4. Ratio

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

    Answer: 2:4:6
  5. 5. Statistics

    Find the mean, median and range of: 91, 94, 20, 97, 93, 10, 100, 77, 71

    Answer: Mean = 72.6, Median = 91, Range = 90

Friday 24 September 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 5.6x

    Answer: (x + 2.8)² - 7.84
  3. 3. Geometry

    Find area of triangle: a = 23cm, b = 20cm, angle = 78°

    Answer: 225cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 55, 87, 71, 29, 10, 57, 64, 74, 91

    Answer: Mean = 59.8, Median = 64, Range = 81