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Capstone Sep 13 - 19 25 questions
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Monday 13 September 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 2.4x

    Answer: (x + 1.2)² - 1.44
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 20cm, angle = 49°

    Answer: 105.7cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 94, 15, 45, 22, 37, 95, 68, 44

    Answer: Mean = 52.5, Median = 45, Range = 80

Tuesday 14 September 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 4.2x

    Answer: (x + 2.1)² - 4.41
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 30cm, angle = 74°

    Answer: 201.9cm²
  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: 96, 43, 42, 54, 39, 87, 89, 63

    Answer: Mean = 64.1, Median = 63, Range = 57

Wednesday 15 September 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √192

    Answer: 8√3
  2. 2. Algebra

    Complete the square: x² + 5.2x

    Answer: (x + 2.6)² - 6.76
  3. 3. Geometry

    Find area of triangle: a = 21cm, b = 14cm, angle = 47°

    Answer: 107.5cm²
  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: 21, 44, 10, 89, 79, 98, 44, 40

    Answer: Mean = 53.1, Median = 44, Range = 88

Thursday 16 September 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √128

    Answer: 8√2
  2. 2. Algebra

    Complete the square: x² + 5.8x

    Answer: (x + 2.9)² - 8.41
  3. 3. Geometry

    Find area of triangle: a = 26cm, b = 26cm, angle = 40°

    Answer: 217.3cm²
  4. 4. Ratio

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

    Answer: 12:6:8
  5. 5. Statistics

    Find the mean, median and range of: 95, 99, 18, 63, 77, 99, 33, 62

    Answer: Mean = 68.3, Median = 77, Range = 81

Friday 17 September 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 4.6x

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

    Find area of triangle: a = 20cm, b = 28cm, angle = 57°

    Answer: 234.8cm²
  4. 4. Ratio

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

    Answer: 9:6:12
  5. 5. Statistics

    Find the mean, median and range of: 13, 23, 42, 81, 87, 63, 56, 85, 36

    Answer: Mean = 54, Median = 56, Range = 74