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Capstone Jan 31 - Feb 6 25 questions
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Monday 31 January 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √98

    Answer: 7√2
  2. 2. Algebra

    Complete the square: x² + 4x

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

    Find area of triangle: a = 16cm, b = 26cm, angle = 64°

    Answer: 186.9cm²
  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: 40, 63, 90, 92, 79, 30, 14, 15, 36

    Answer: Mean = 51, Median = 40, Range = 78

Tuesday 1 February 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 = 13cm, b = 25cm, angle = 64°

    Answer: 146.cm²
  4. 4. Ratio

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

    Answer: 3:4:10
  5. 5. Statistics

    Find the mean, median and range of: 93, 86, 94, 96, 26, 35, 22

    Answer: Mean = 64.6, Median = 86, Range = 74

Wednesday 2 February 2022

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 = 18cm, b = 16cm, angle = 58°

    Answer: 122.cm²
  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: 25, 39, 68, 94, 79, 35, 13, 38

    Answer: Mean = 48.9, Median = 39, Range = 81

Thursday 3 February 2022

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 = 22cm, b = 20cm, angle = 73°

    Answer: 210.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 59, 73, 75, 31, 85, 59, 64, 26, 39

    Answer: Mean = 56.8, Median = 59, Range = 59

Friday 4 February 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √200

    Answer: 10√2
  2. 2. Algebra

    Complete the square: x² + 2.8x

    Answer: (x + 1.4)² - 1.96
  3. 3. Geometry

    Find area of triangle: a = 28cm, b = 14cm, angle = 50°

    Answer: 150.cm²
  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: 22, 93, 83, 71, 88, 34, 35

    Answer: Mean = 60.9, Median = 71, Range = 71