NUMBERS AND CALCULATIONS WITH NUMBERS – MATHEMATICAL LITERACY QUESTIONS AND ANSWERS GRADE 12

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NUMBERS AND CALCULATIONS WITH NUMBERS – MATHEMATICAL LITERACY QUESTIONS AND ANSWERS GRADE 12 Mathematics is often regarded as a universal language, providing a framework for understanding the world around us. Among its various branches, numerical literacy stands as a fundamental pillar, enabling individuals to navigate everyday tasks, analyze data, and make informed decisions. For Grade 12 students, mastering numerical concepts and calculations is crucial not only for academic success but also for practical applications in future endeavors. In this article, we’ll delve into some key questions and answers pertaining to numbers and calculations, aimed at enhancing mathematical literacy among Grade 12 learners.

Activity 1: Working with ratio

A company has a total of 150 employees and 25 of them are managers.
What is the ratio of managers to non-managers?

  1. 1 to 3
  2. 1 to 4
  3. 1 to 5
  4. 1 to 6
  5. 2 to 5 [5]

Solution
The company has 25 managers✓, so the remaining 125 employees are non-managers.✓
Express this ratio as a fraction and then reduce it:
Managers    = 25 = 1 ✓
Non-managers   125   5
✓The ratio of managers to non-managers is 1 to 5, so the correct answer is Choice (C) ✓✓. [5]

Activity 2: Convert units of time

  1.  A train journey takes 34 hours. How many days and hours does the journey take? (3)
  2.  A plane trip (with stopovers) from South Africa to China takes 38 hours. How many days and hours does the trip take? (1) [4]
Solutions

  1. 24 hours = 1 day
    Therefore 34 hours = 34  = 1,417. ✓
    24
    From our answer of 1,417 we know that we have 1 whole day and some remainder in hours. ✓
    We now work backwards to calculate the remainder:
    1 day = 24 hours
    34 hours – 24 hours = 10 hours
    So 34 hours = 1 day and 10 hours. (0,417 ´ 24 hours = 10 hours) ✓
  2. 38 – 24 = 14
    The trip takes 1 day and 14 hrs. ✓ [4]

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