Math Drills
Inverse Proportion
B-1Word Problems (Application)
What this worksheet covers
Grade 6 (Elementary School) / Proportion and Inverse Proportion / Inverse Proportion
A relation where one grows and the other shrinks by that much is handled. Two word problems make up the lesson: a question filling the fixed number for x and y from a table of six columns and producing a value not in the table, and a two-tier question that finds a fixed whole amount, such as an area or a distance, without using a table at all.
In the two-tier question, an expression gets set up that multiplies where the whole amount found first should be divided. In this kind of scene, the figure wanted grows smaller as the other figure grows larger. Set the given figures and the answer side by side and check that the side that grew and the side that shrank have not been exchanged.
The touch of raising an expression out of a table, used in Proportion, stays exactly as it was, and only the direction of the tie has changed. Into Number of Cases, which counts every possible arrangement or choice, this unit carries the tool of an expression.
- Applications (Two Steps)6 questions
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Problems and answers on this worksheet
These are the problems in “Proportion and Inverse Proportion”, shown with their answers.
(1)Water is added to a water tank. It fills up in 12 minutes when 15L is added every 1 minute. When 20L is added every 1 minute, how many minutes does it take to fill? Answer □
Answer: 9minutes
(2)A distance was traveled at a speed of 40km per hour for 3 hours. How many hours does it take to travel the same distance at a speed of 60km per hour? Answer □
Answer: 2hours
(3)A triangle has a base of 8cm and a height of 9cm. Another triangle with the same area has a base of 6cm. What is its height, in how many cm? Answer □
Answer: 12cm
(4)A rectangle has a height of 6cm and a width of 10cm. Another rectangle with the same area has a height of 4cm. What is its width, in how many cm? Answer □
Answer: 15cm
(5)A parallelogram has a base of 9cm and a height of 8cm. Another parallelogram with the same area has a height of 6cm. What is its base, in how many cm? Answer □
Answer: 12cm
(6)Filling a water tank from a faucet takes 30 seconds when 6dL flows out every 1 second. When 9dL flows out every 1 second, how many seconds does it take to fill? Answer □
Answer: 20seconds
