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Capstone Jul 19 - 25 25 questions
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Monday 19 July 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √243

    Answer: 9√3
  2. 2. Algebra

    Complete the square: x² + 5.6x

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

    Find area of triangle: a = 26cm, b = 16cm, angle = 54°

    Answer: 168.3cm²
  4. 4. Ratio

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

    Answer: 8:6:18
  5. 5. Statistics

    Find the mean, median and range of: 43, 30, 34, 58, 40, 85, 54

    Answer: Mean = 49.1, Median = 43, Range = 55

Tuesday 20 July 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 2.2x

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

    Find area of triangle: a = 20cm, b = 17cm, angle = 54°

    Answer: 137.5cm²
  4. 4. Ratio

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

    Answer: 2:4:10
  5. 5. Statistics

    Find the mean, median and range of: 81, 79, 38, 29, 69, 44, 20

    Answer: Mean = 51.4, Median = 44, Range = 61

Wednesday 21 July 2021

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 = 30cm, b = 14cm, angle = 51°

    Answer: 163.2cm²
  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: 15, 37, 34, 65, 71, 70, 29, 11

    Answer: Mean = 41.5, Median = 37, Range = 60

Thursday 22 July 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 2.4x

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

    Find area of triangle: a = 29cm, b = 26cm, angle = 45°

    Answer: 266.6cm²
  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: 56, 26, 51, 39, 98, 94, 55

    Answer: Mean = 59.9, Median = 55, Range = 72

Friday 23 July 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √162

    Answer: 9√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 = 14cm, b = 20cm, angle = 45°

    Answer: 99cm²
  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: 92, 13, 13, 68, 32, 100, 18, 17, 70

    Answer: Mean = 47, Median = 32, Range = 87