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Capstone Sep 19 - 25 25 questions
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Monday 19 September 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √147

    Answer: 7√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 = 29cm, b = 19cm, angle = 73°

    Answer: 263.5cm²
  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: 34, 82, 56, 43, 87, 46, 83

    Answer: Mean = 61.6, Median = 56, Range = 53

Tuesday 20 September 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 2x

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

    Find area of triangle: a = 13cm, b = 14cm, angle = 74°

    Answer: 87.5cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 38, 15, 100, 39, 96, 27, 78, 21, 97

    Answer: Mean = 56.8, Median = 39, Range = 85

Wednesday 21 September 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√2
  2. 2. Algebra

    Complete the square: x² + 3.2x

    Answer: (x + 1.6)² - 2.56
  3. 3. Geometry

    Find area of triangle: a = 19cm, b = 23cm, angle = 65°

    Answer: 198cm²
  4. 4. Ratio

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

    Answer: 9:6:10
  5. 5. Statistics

    Find the mean, median and range of: 79, 75, 97, 70, 90, 22, 91, 80

    Answer: Mean = 75.5, Median = 80, Range = 75

Thursday 22 September 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 4.4x

    Answer: (x + 2.2)² - 4.84
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 13cm, angle = 45°

    Answer: 96.5cm²
  4. 4. Ratio

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

    Answer: 2:4:6
  5. 5. Statistics

    Find the mean, median and range of: 99, 30, 37, 70, 22, 83, 67, 54

    Answer: Mean = 57.8, Median = 67, Range = 77

Friday 23 September 2022

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 3x

    Answer: (x + 1.5)² - 2.25
  3. 3. Geometry

    Find area of triangle: a = 22cm, b = 23cm, angle = 46°

    Answer: 182cm²
  4. 4. Ratio

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

    Answer: 8:12:15
  5. 5. Statistics

    Find the mean, median and range of: 76, 58, 82, 75, 64, 45, 13

    Answer: Mean = 59, Median = 64, Range = 69