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Proportional division, mixtures and solutions
This test covers proportional division and practical problems involving mixtures, alloys and solutions. Students calculate part ratios, quantities and concentrations and check whether the result satisfies the conditions of the problem.
Questions: 10Estimated time: 21 minutes
Time left: 00:00:00
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Top 10 registered students. Only each student’s best result in the period counts.
Sample questions
- Divide ___ in the ratio ___ and ___. Find the first share.
- €___ is divided in the ratio ___ and ___. How many euros is the second share?
- An alloy of ___ g contains ___% pure substance. How much pure substance is there?
- We have ___ g of a ___% solution. How much water must be added to obtain a 10% solution?
- A ___ kg product contains ___% water. How many kilograms are dry matter?
Proportional division, mixtures and solutions
To divide a quantity in the ratio a : b, first add the ratio parts and divide the total quantity by this sum. Multiply the value of one part by a and b.
Mixture problems
The amount of pure substance equals the total solution amount multiplied by its concentration as a decimal. When solutions are mixed, amounts of pure substance are added, but concentrations are not added directly. Preserve total mass or volume in the equation and express all percentages consistently.
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