MEAP Preparation - Grade 7 Mathematics 2.16 Direct Variation or Direct Proportion

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

Q 1: 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 45 m 54 m

Q 2: 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. 55 and 27 respectively 50 and 25 respectively 27 and 55 respectively

Q 3: The numbers p and q are directly proportional and p=7.5 when q=15. Find p when q=38; and find q when p=13. 15 and 29 respectively 19 and 26 respectively 26 and 19 respectively

Q 4: 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. 25 and 15 respectively 14 and 24 respectively 24 and 14 respectively

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

Q 6: 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? $3,500 $3,750 $2,750

Q 7: The weight E of a man on earth's surface is directly proportional to his weight M on mars. The constant of proportionality is 3, if a man weights 126 kg on earth, how much will he weigh on mars? 40 kgs 45 kgs 42 kgs

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 20 g/sq. cm 16 g/sq. cm

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