Monday, 06 September 2021 09:25

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

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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]



Last modified on Tuesday, 07 September 2021 07:23