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Problems with equations: math practice, grade 9

Practise “Problems with equations” online for free. Five right answers in a row make the tasks harder, two mistakes in a row make them easier. Right answers earn coins for games.

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Example problems

These are only examples: the practice makes new tasks every time.

  1. Two buses drive the same way along a road, 30 km apart. The one in front goes 35 km/h, the one behind 45 km/h. In how many hours does the one behind catch up?

    Answer

    3

  2. A boat goes 14 km/h in still water and the river flows at 4 km/h. How many hours does the boat take to go 54 km downstream?

    Answer

    3

  3. One pipe fills a pool in 6 h, another in 30 h. In how many hours do they fill it together?

    Answer

    5

  4. One pipe fills a pool in 24 h, another in 40 h. In how many hours do they fill it together?

    Answer

    15

  5. 400 g of a 15% salt solution is mixed with 100 g of a 5% solution. What is the new concentration (in %)?

    Answer

    13

  6. A rectangle’s area is 36 cm² and one side is 5 cm longer than the other. Find the shorter side (in cm).

    Answer

    4

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