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Capstone Nov 2 - 8 25 questions
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Monday 2 November 2020

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 = 29cm, b = 13cm, angle = 59°

    Answer: 161.6cm²
  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: 99, 26, 29, 56, 58, 59, 57, 41, 25

    Answer: Mean = 50, Median = 56, Range = 74

Tuesday 3 November 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 20cm, b = 27cm, angle = 59°

    Answer: 231.4cm²
  4. 4. Ratio

    a:b is 2:1 and b:c is 4:5. Find a:b:c.

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

    Find the mean, median and range of: 39, 96, 70, 29, 96, 67, 41

    Answer: Mean = 62.6, Median = 67, Range = 67

Wednesday 4 November 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 5.6x

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

    Find area of triangle: a = 25cm, b = 30cm, angle = 53°

    Answer: 299.5cm²
  4. 4. Ratio

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

    Answer: 9:12:16
  5. 5. Statistics

    Find the mean, median and range of: 56, 42, 13, 62, 17, 18, 94

    Answer: Mean = 43.1, Median = 42, Range = 81

Thursday 5 November 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√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 = 26cm, b = 26cm, angle = 74°

    Answer: 324.9cm²
  4. 4. Ratio

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

    Answer: 4:6:12
  5. 5. Statistics

    Find the mean, median and range of: 36, 98, 29, 11, 19, 18, 52

    Answer: Mean = 37.6, Median = 29, Range = 87

Friday 6 November 2020

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √75

    Answer: 5√3
  2. 2. Algebra

    Complete the square: x² + 3.4x

    Answer: (x + 1.7)² - 2.89
  3. 3. Geometry

    Find area of triangle: a = 20cm, b = 12cm, angle = 68°

    Answer: 111.3cm²
  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: 47, 53, 65, 97, 94, 62, 64, 10

    Answer: Mean = 61.5, Median = 64, Range = 87