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Capstone Mar 8 - 14 25 questions
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Monday 8 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √108

    Answer: 6√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 = 26cm, b = 30cm, angle = 71°

    Answer: 368.8cm²
  4. 4. Ratio

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

    Answer: 3:4:12
  5. 5. Statistics

    Find the mean, median and range of: 63, 22, 10, 15, 72, 48, 83, 73, 85

    Answer: Mean = 52.3, Median = 63, Range = 75

Tuesday 9 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √242

    Answer: 11√2
  2. 2. Algebra

    Complete the square: x² + 3x

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

    Find area of triangle: a = 24cm, b = 29cm, angle = 46°

    Answer: 250.3cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 94, 61, 52, 82, 59, 12, 92

    Answer: Mean = 64.6, Median = 61, Range = 82

Wednesday 10 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √320

    Answer: 8√5
  2. 2. Algebra

    Complete the square: x² + 5.4x

    Answer: (x + 2.7)² - 7.29
  3. 3. Geometry

    Find area of triangle: a = 14cm, b = 27cm, angle = 50°

    Answer: 144.8cm²
  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: 18, 70, 72, 14, 67, 73, 77, 70

    Answer: Mean = 57.6, Median = 70, Range = 63

Thursday 11 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √288

    Answer: 12√2
  2. 2. Algebra

    Complete the square: x² + 5x

    Answer: (x + 2.5)² - 6.25
  3. 3. Geometry

    Find area of triangle: a = 12cm, b = 26cm, angle = 72°

    Answer: 148.4cm²
  4. 4. Ratio

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

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

    Find the mean, median and range of: 58, 73, 17, 94, 49, 85, 44, 52

    Answer: Mean = 59, Median = 58, Range = 77

Friday 12 March 2021

Keystones #1 · Five questions · Open this day only

  1. 1. Number

    Simplify: √125

    Answer: 5√5
  2. 2. Algebra

    Complete the square: x² + 2.2x

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

    Find area of triangle: a = 20cm, b = 16cm, angle = 79°

    Answer: 157.cm²
  4. 4. Ratio

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

    Answer: 2:4:12
  5. 5. Statistics

    Find the mean, median and range of: 31, 57, 79, 64, 64, 98, 61, 94

    Answer: Mean = 68.5, Median = 64, Range = 67