# Examples for 8th grade

- Milk

There were 22 liters of milk in three containers. There was 6 liters more in the first container than in the second. After pouring 5 liters from the first container into the third container, the same quantity of milk is in the second and third container. - Two trains

Two trains departed from City A and City B against each other. They met after some time. The first train then took 9 hours to reach city B, and the second train took 4 hours to reach city A. In what proportion were the train speeds? - Length of the edge

Find the length of the edge of a cube that has a cm^{2}surface and a volume in cm^{3}expressed by the same number. - The Indian tent

The Indian tent is cone-shaped. Its height is 3.5 m. The diameter of the base is 2.5 m. How much canvas is needed to make a tire? - Unknown number

15% of the unknown number is 18 less than 21% of the same number. What is the unknown number? - Scholarship

The annual scholarship of the best student and second-best student in the class is 3500 euros in total. The best student scholarship in 8 months is the same as the second-best student scholar in the class for the whole year. How big is the annual scholars - A square base

A solid right pyramid has a square base. The length of the base edge is 4 centimeters and the height of the pyramid is 3 centimeters. What is the volume of the pyramid? - Baking muffins

Aunt Polly is baking muffins at a speed of 4 muffins per minute. Tom comes into the kitchen when Aunt Polly has 12 muffins, and begins to eat these muffins at a speed of 6 muffins per minute. When he finally leaves the kitchen, there are 4 muffins at the - Cylinder

The 1.8m cylinder contains 2000 liters of water. What area (in dm^{2}) of this container is the water? - Regular hexagonal pyramid

Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height of w = 20cm. Sketch a picture. - Possible lengths

Find the most possible lengths for the third side of a triangle with sides 20 and 18. - Pairs of socks

Ferdinand has twelve pairs of socks, one sock is leaky. What is the probability of putting on a leaky sock? - Uboid volume

Calculate the cuboid volume if the walls are 30cm², 35cm², 42cm² - Hexagonal pyramid

Please calculate the height of a regular hexagonal pyramid with a base edge of 5cm and a wall height of w = 20cm. Please sketch a picture. - Mary

Mary is 12 years old, which is 40% of the age of her mother. How many percent of her mother's age will Mary have after the next 12 years? - Trio ratio

Hans, Alena and Thomas have a total of 740 USD. Hans and Alena split in the ratio 5: 6 and Alena and Thomas in the ratio 4: 5. How much will everyone get? - Temporary workers

Three temporary workers work in the warehouse and unload the goods in 9 hours. In what time would five temporary workers unload the same products? - The gold coin

The gold coin contains 900 per mille of pure gold. The coin weighs 950g. How much per mille is gold? How many grams are gold? - Christmas or Easter

Please calculate this example by the Venn equation. They asked 73 students whether they like Christmas or Easter. 34 of them like one of the holidays. 39 loves Easter. There are twice as many students who wish both holidays than those who only love Ea - Twenty-five

How many three-digit natural numbers are divisible by 25?

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