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Test: 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.

Question qty: 10
Duration in minutes: 21
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Sample questions

  • Mix a g of a p% solution and b g of an r% solution. What is the concentration of the mixture?
  • A m kg product contains p% water. How many kilograms are dry matter?
  • What does “divide in the ratio 3 and 5” mean?
  • An alloy of m g contains p% pure substance. How much pure substance is there?
  • We have m g of a p% solution. How much water must be added to obtain a 10% solution?
  • When a solution is diluted only with water, which quantity stays unchanged?
  • Divide v in the ratio a and b. Find the first share.
  • €v is divided in the ratio a and b. How many euros is the second share?

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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