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Capstone Jun 21 - 27 25 questions
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Monday 21 June 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 = 28cm, b = 26cm, angle = 63°

    Answer: 324.3cm²
  4. 4. Ratio

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

    Answer: 9:6:8
  5. 5. Statistics

    Find the mean, median and range of: 25, 61, 98, 63, 80, 45, 27, 47, 75

    Answer: Mean = 57.9, Median = 61, Range = 73

Tuesday 22 June 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 = 17cm, b = 26cm, angle = 66°

    Answer: 201.9cm²
  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: 97, 37, 66, 42, 30, 30, 50, 43, 12

    Answer: Mean = 45.2, Median = 42, Range = 85

Wednesday 23 June 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √363

    Answer: 11√3
  2. 2. Algebra

    Complete the square: x² + 2.2x

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

    Find area of triangle: a = 12cm, b = 26cm, angle = 64°

    Answer: 140.2cm²
  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: 18, 31, 96, 59, 70, 42, 32

    Answer: Mean = 49.7, Median = 42, Range = 78

Thursday 24 June 2021

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 = 16cm, b = 26cm, angle = 59°

    Answer: 178.3cm²
  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: 34, 80, 67, 100, 61, 28, 71, 89

    Answer: Mean = 66.3, Median = 71, Range = 72

Friday 25 June 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√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 = 12cm, b = 19cm, angle = 63°

    Answer: 101.6cm²
  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: 79, 95, 27, 94, 23, 74, 92, 45

    Answer: Mean = 66.1, Median = 79, Range = 72