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Capstone Aug 1 - 7 25 questions
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Monday 1 August 2022

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 = 15cm, b = 21cm, angle = 65°

    Answer: 142.7cm²
  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: 33, 61, 70, 13, 41, 24, 18, 13

    Answer: Mean = 34.1, Median = 33, Range = 57

Tuesday 2 August 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 2.2x

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

    Find area of triangle: a = 12cm, b = 19cm, angle = 43°

    Answer: 77.7cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 24, 63, 85, 67, 24, 99, 18, 37

    Answer: Mean = 52.1, Median = 63, Range = 81

Wednesday 3 August 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 3.8x

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

    Find area of triangle: a = 13cm, b = 20cm, angle = 73°

    Answer: 124.3cm²
  4. 4. Ratio

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

    Answer: 4:3:6
  5. 5. Statistics

    Find the mean, median and range of: 79, 88, 48, 97, 61, 91, 71, 69

    Answer: Mean = 75.5, Median = 79, Range = 49

Thursday 4 August 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 6x

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

    Find area of triangle: a = 30cm, b = 23cm, angle = 62°

    Answer: 304.6cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 87, 22, 34, 41, 67, 23, 65, 81, 60

    Answer: Mean = 53.3, Median = 60, Range = 65

Friday 5 August 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 29cm, b = 14cm, angle = 59°

    Answer: 174cm²
  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: 96, 67, 72, 40, 46, 77, 75

    Answer: Mean = 67.6, Median = 72, Range = 56