Test: Inverse proportion
Dynamic inverse-proportion tables and word problems on speed, work time and fixed area. Includes recognizing relationships from text.
Question qty: 10
Duration in minutes: 20
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| x | 3 | 6 |
|---|---|---|
| y | 8 | ? |
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| x | 6 | 8 |
|---|---|---|
| y | 12 | ? |
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Sample questions
- In which situation are the quantities inversely proportional?
- darbuotojai equally productive workers finish a job in dienos days. How many days will nauji such workers need?
- Which pair of ordered pairs can belong to the same inverse-proportion relationship?
- In the table, x and y are inversely proportional. Find the missing value. lentele
- The quantities x and y are inversely proportional. When x = x, y = y. Find y when x = naujasX.
- If speed over the same distance becomes kartai times greater, how does travel time change? Choose the statement that uses “times” precisely.
- A car covers a route at greitis km/h in laikas h. How many hours will the same route take at naujas km/h?
- A rectangle is ilgis cm long and plotis cm wide. What must its width be if the length increases to naujas cm while the area stays constant?
Inverse proportion
Two quantities are inversely proportional when multiplying one by a factor divides the other by the same factor. Their product remains constant: x × y = k.
Recognition
A greater speed for a fixed distance means less time, and more workers for a fixed job means a shorter duration. Check products in a table; equal products indicate inverse proportion. Do not confuse it with direct proportion.
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