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Proportional Reasoning

Mathematics · Class 8 · All

MathematicsClass 8AllMedium
Q1/15
45s

If 4 workers complete a task in 12 days, what type of relationship exists between workers and time (assuming the same work)?

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All 15 questions in this quiz

  1. Why is proportional reasoning important in mathematics and daily life?

    1. It helps compare quantities, solve rate problems, and understand relationships between changing values.
    2. It is useful only for drawing shapes.
    3. It is not used outside mathematics.
    4. It only helps in subtraction.

  2. A recipe needs 2 cups of flour for 8 cookies. How much flour is needed for 24 cookies?

    1. 4 cups
    2. 6 cups
    3. 8 cups
    4. 10 cups

  3. What is the unit rate of 240 km travelled in 6 hours?

    1. 20 km/h
    2. 30 km/h
    3. 40 km/h
    4. 60 km/h

  4. If 5 machines produce 500 items, how many items will 10 machines produce at the same rate?

    1. 750
    2. 1000
    3. 1200
    4. 1500

  5. Which statement is true for directly proportional quantities?

    1. Their ratio remains constant
    2. Their sum remains constant
    3. Their difference remains constant
    4. They always decrease together

  6. If 6 mangoes cost ₹90, how much will 10 mangoes cost?

    1. ₹120
    2. ₹150
    3. ₹180
    4. ₹200

  7. Which fraction represents the ratio 3:4?

    1. 3/4
    2. 4/3
    3. 3/7
    4. 7/4

  8. If 8 notebooks cost ₹240, what is the cost of 12 notebooks?

    1. ₹300
    2. ₹360
    3. ₹400
    4. ₹480

  9. A car travels 120 km in 3 hours. What is its speed?

    1. 20 km/h
    2. 30 km/h
    3. 40 km/h
    4. 60 km/h

  10. If 4 workers complete a task in 12 days, what type of relationship exists between workers and time (assuming the same work)?

    1. Direct proportion
    2. Inverse proportion
    3. Equal proportion
    4. No relationship

  11. Which situation represents direct proportion?

    1. More workers complete a fixed job in less time
    2. More items purchased at the same price per item increase total cost
    3. Age and height always increase equally
    4. Speed and time always increase together

  12. If 3 kg of apples cost ₹180, what is the cost of 5 kg apples at the same rate?

    1. ₹200
    2. ₹250
    3. ₹300
    4. ₹350

  13. Which of the following ratios is equivalent to 2:3?

    1. 4:6
    2. 3:5
    3. 5:8
    4. 6:7

  14. If 5 pens cost ₹50, what is the cost of 1 pen?

    1. ₹5
    2. ₹10
    3. ₹15
    4. ₹20

  15. What does proportional reasoning help us understand?

    1. Only addition problems
    2. Relationship between quantities that change together
    3. Only geometry shapes
    4. Only multiplication tables