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JSS2: MATHEMATICS - 1ST TERM

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  1. Properties of Whole Numbers I | Week 1
    4 Topics
    |
    1 Quiz
  2. Properties of Whole Numbers II | Week 2
    4 Topics
    |
    1 Quiz
  3. Properties of Whole Numbers III | Week 3
    5 Topics
    |
    1 Quiz
  4. Indices | Week 4
    2 Topics
    |
    1 Quiz
  5. Laws of Indices | Week 5
    5 Topics
    |
    1 Quiz
  6. Whole Numbers & Decimal Numbers | Week 6
    4 Topics
    |
    1 Quiz
  7. Standard Form | Week 7
    3 Topics
    |
    1 Quiz
  8. Significant Figures (S.F) | Week 8
    4 Topics
    |
    1 Quiz
  9. Fractions, Ratios, Proportions & Percentages I | Week 9
    6 Topics
    |
    1 Quiz
  10. Fractions, Ratios, Proportions & Percentages II | Week 10
    4 Topics
    |
    1 Quiz
  11. Fractions, Ratios, Proportions & Percentages III | Week 11
    3 Topics
    |
    1 Quiz
  12. Approximation & Estimation | Week 12
    1 Topic
    |
    1 Quiz



Lesson Progress
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Topic Content:

  • Inverse Proportion
  • End of Lesson Evaluation Questions

What is Inverse Proportion?

Two quantities are in inverse proportion if one increases and the other decreases at the same rate.

Worked Example 11.3.1:

35 workers can build a house in 16 days. How many days will it take 28 workers working at the same rate to build the same house?

Solution

1. Let x represent the number of days it will take 28 works.

No of workersNo of days
3516
28
(the number of workers decreased)
x
(the number of days will increase)
\( \scriptsize x \: \times \: 28 = 35 \: \times \: 16 \)

28    =   35 × 16

divide both sides by 28

\( \frac{28x}{28} = \frac{35 \; \times \; 16}{28} \)

 

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Responses

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Evaluation Question (1, 2, & 3)

Answers:

1. 10 eggs

2.
a.    ₦3
b.  ₦375

3.
a.    12 hours
b.    14 hours

Evaluation Question (4, 5, & 6)

Answers:

4. 50 tubers

 

5.
a.    18 days
b.  36 days
c. \( \frac{108}{y} \scriptsize \: days \)

 

6. 36 days

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