Math Drills
Inverse Proportion
B-2Word 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)A distance was traveled at a speed of 60km per hour for 4 hours. How many hours does it take to travel the same distance at a speed of 80km per hour? Answer □
Answer: 3hours
(2)A triangle has a base of 12cm and a height of 5cm. Another triangle with the same area has a base of 15cm. What is its height, in how many cm? Answer □
Answer: 4cm
(3)A certain distance takes 15 minutes to run at a speed of 80m per minute. How many minutes does it take to walk the same distance at a speed of 60m per minute? Answer □
Answer: 20minutes
(4)There are water tanks in the shape of a rectangular prism with the same capacity. 1 has a base area of 20cm² and a height of 15cm. Another 1 has a base area of 25cm². How many cm is its height? Answer □
Answer: 12cm
(5)When a ribbon is shared equally among 12 people, 1 share is 20cm. When this ribbon is shared among 8 people, 1 share is how many cm? Answer □
Answer: 30cm
(6)A printer can print everything in 8 minutes when it prints 30 sheets every 1 minute. When it prints 40 sheets every 1 minute, how many minutes does it take to print everything? Answer □
Answer: 6minutes
