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Capstone Nov 1 - 7 25 questions
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Monday 1 November 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 22cm, b = 15cm, angle = 61°

    Answer: 144.3cm²
  4. 4. Ratio

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

    Answer: 2:4:8
  5. 5. Statistics

    Find the mean, median and range of: 46, 98, 83, 90, 60, 78, 31

    Answer: Mean = 69.4, Median = 78, Range = 67

Tuesday 2 November 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√3
  2. 2. Algebra

    Complete the square: x² + 2.2x

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

    Find area of triangle: a = 19cm, b = 23cm, angle = 80°

    Answer: 215.2cm²
  4. 4. Ratio

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

    Answer: 8:12:9
  5. 5. Statistics

    Find the mean, median and range of: 21, 87, 53, 24, 49, 59, 93, 36, 97

    Answer: Mean = 57.7, Median = 53, Range = 76

Wednesday 3 November 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√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 = 24cm, b = 16cm, angle = 52°

    Answer: 151.3cm²
  4. 4. Ratio

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

    Answer: 9:12:24
  5. 5. Statistics

    Find the mean, median and range of: 35, 20, 22, 93, 55, 57, 12, 19

    Answer: Mean = 39.1, Median = 35, Range = 81

Thursday 4 November 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 4.8x

    Answer: (x + 2.4)² - 5.76
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 23cm, angle = 49°

    Answer: 173.6cm²
  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: 39, 84, 31, 45, 95, 94, 36, 30

    Answer: Mean = 56.8, Median = 45, Range = 65

Friday 5 November 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 4.6x

    Answer: (x + 2.3)² - 5.29
  3. 3. Geometry

    Find area of triangle: a = 29cm, b = 12cm, angle = 75°

    Answer: 168.cm²
  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: 93, 34, 13, 55, 90, 76, 56, 91

    Answer: Mean = 63.5, Median = 76, Range = 80