Math 9 Periodical Test

In a barangay, the number of houses painted depends on the number of painters working. If 5 painters can paint 10 houses in a day, how many houses can 10 painters paint in the same time, assuming a direct variation?

• 15

• 20

• 25

• 30

A tricycle driver's fare rate varies inversely with the number of passengers. If the fare is ₱50 for 2 passengers, how much will each passenger pay if there are 4 passengers?

• ₱25

• ₱30

• ₱20

• ₱10

The speed of a boat traveling along the Pasig River is directly proportional to the engine power and inversely proportional to the river's current speed. If the boat's speed is 30 kph when the engine power is 10 units and the current speed is 5 kph, what will the speed be if the engine power is increased to 15 units while the current remains constant?

• 35 kph

• 45 kph

• 40 kph

• 50 kph

The weight of rice bought in a sari-sari store depends jointly on the price per kilo and the number of kilos. If the price per kilo is ₱50 and a customer buys 2 kilos, how much will the cost be if the customer buys 3 kilos?

• ₱150

• ₱200

• ₱250

• ₱300

The time it takes to finish a community feeding project is inversely proportional to the number of volunteers and directly proportional to the amount of food being prepared. If it takes 4 hours for 8 volunteers to prepare 80 meals, how long will it take for 6 volunteers to prepare 120 meals?

• 8 hours

• 6 hours

• 10 hours

• 12 hours

The number of barangay tanods available for patrol during a fiesta is inversely proportional to the number of barangays needing coverage. If 3 tanods are assigned to 5 barangays, how many barangays will 6 tanods cover?

• 8.5

• 6

• 2.5

• 2

A table of values shows that as the number of baskets collected by a farmer increases, the payment received increases proportionally. Which variation statement represents this situation?

• P∝B²

• P∝1/B

• P∝B

• P = B+C

Given the equation y=kx where k is a constant, what type of variation does this equation represent?

• Direct variation

• Inverse variation

• Joint variation

• Combined variation

A graph shows the relationship between the number of jeepney passengers and the fare they each pay. As the number of passengers increases, the fare decreases. What type of variation is illustrated?

• Direct

• Inverse

• Joint

• Combined

A family's electricity bill is directly proportional to the number of hours the appliances are used. If they pay ₱2,000 for 50 hours of use, how much will they pay if they use their appliances for 75 hours?

• ₱3,000

• ₱2,500

• ₱3,500

• ₱4,000