Direct Variation or Direct Proportion - Grade 6 - Mathematics - kwizNET Math/Science/English Homeschool/Afterschool/Tutoring Lessons/Worksheets/Quizzes/Trivia

Grade 6 - Mathematics 7.5 Direct Variation or Direct Proportion

Directions: Answer the following questions. Also write at least ten examples of your own.

Q 1: The numbers x and y are directly proportional and x=9 when y=3. Find x when y=8; and find y when x=42. 14 and 24 respectively 25 and 15 respectively 24 and 14 respectively

Q 2: The amount of heat (H) produced in human body by burning of proteins is directly proportional to the amount of proteins (A) burnt. If burning of 1 gram of proteins produces 32 calories of heat, how much proteins should be burnt to produce 52 calories? 13 grams 15 grams 20 grams

Q 3: A motor bike travels 225 km with 5 liters of gas. How many liters of gas are needed to travel 135 km? 3.5 liters 4 liters 3 liters

Q 4: A family spends 120 dollars per month for vegetables when the cost of vegetables is 5 dollars per kg. How much amount must the family spend per month, if the cost of vegetables goes up to 5.75 dollars per kg? 130 dollars 138 dollars 140 dollars

Q 5: The expenditure per month for 15 students in a dormitory is $2,250. If 10 more students joined, what will be the monthly expenditure now? $3,750 $2,750 $3,500

Q 6: The numbers r and s vary directly and the constant of variation is 3/5. Find r if s=45; and find s if r =33. 50 and 25 respectively 55 and 27 respectively 27 and 55 respectively

Q 7: One evening the length of the shadow of a building's pillar of height 28 m is 42 m. What will be the length of the shadow of the building's tower of height 36 m at that time? 50 m 54 m 45 m

Q 8: The pressure P exerted at any point on the base of a tank filled with liquid varies directly as the depth D of the liquid. The pressure exerted by the liquid 25 cms deep on the base of the tank is 10 g/sq. cm. What will be the pressure when the depth is 18 g/sq. cm 16 g/sq. cm 20 g/sq. cm

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