Examples of equations for practice for 14 year olds - page 31 of 89
Number of problems found: 1779
- Sow barley
Farmers wanted to sow barley within 13 days. Due to the excellent weather, they exceeded the daily plan of sowing by 2 ha and therefore finished sowing grain in 12 days. How many hectares of land did they sow with barley? - Ratio of squares
A circle is given in which a square is inscribed. The smaller square is inscribed in a circular arc formed by the square's side and the circle's arc. What is the ratio of the areas of the large and small squares? - Personally 28573
At 9:00 a.m., a truck left town A at an average speed of 50 km/h to town B, 290 km from town A. In 1 hour and 20 minutes, a car drove behind him at an average speed of 75 km/h. At what time and distance from city B will the passenger truck catch? - Speeds 28051
A car will depart from place A at 1 PM at a speed of 72 km/h. At the same time, a truck speeds up 68 km/h from point B, which is 315 km away from point A. When and where will they meet?
- Distance 27971
The distance between K & L is 150 km. At 8 AM, a car left place K at a speed of 40 km/h. At 9 AM, a second car drove towards him from location L at 75 km/h. At what time will they meet, and how far from L will it be? - Lottery - eurocents
Tereza bets in the lottery and finally wins. She went to the booth to have the prize paid out. An elderly gentleman beside him wants to buy a newspaper but is missing five cents. Tereza is in a generous mood after the win, so she gives the man five cents - Traveling 27833
The truck drove at an average speed of 20 km/h and left Prague toward Liberec. At the same time, a bus left with him, traveling at an average speed of 30 km/h, and it arrived in Liberec 2 hours earlier than the truck. What is the distance between Prague a - Right-angled 27683
Right-angled triangle XYZ is similar to triangle ABC, which has a right angle at the vertex X. The following applies a = 9 cm, x=4 cm, x =v-4 (v = height of triangle ABC). Calculate the missing side lengths of both triangles. - Cleaning 27663
During the pool cleaning, two drains and one inlet were opened. The first outflow would empty the pool in 6 hours, the second outflow would fill it in 9 hours, and the inflow would fill it in 12 hours. How long will it take to empty if the drains are open
- Concentration 27551
We need a 4% solution of H2O2 (hydrogen peroxide) for the disinfection solution. We only have a 40% solution available. How much water do we need to add to 100ml of the original solution to obtain the desired concentration? - Between 27501
Dan and Honza live 4 km from each other. They agreed to meet on the way between the two homes. Dan went out at 2 p.m. at a speed of 5 km/h. Honza rode towards him on a bicycle at 15 km/h. What time did they meet, and how far did John travel? - Beer tapping
When checking compliance with the beer tapping, it was found that 60% of the offered beers were underfilled. The others were fine. Thus, instead of 0.5 l, the volume was 4.4 deciliters on average. What was the volume of one average underfilled beer? - Original 27411
The tourist section planted 145 trees, 16% more than planned. What was the original plan? - Calculate 27351
There were goats and chickens in the yard. The number of all heads was 15. The number of all legs was 40. Calculate how many hens there were. Every animal has all its legs.
- Pedestrian 27061
Behind a pedestrian walking at an average speed of 5 km/h, a cyclist drove from the same place 3 hours later at an average speed of 20 km/h. How long will it take for a cyclist to catch up with a pedestrian? - Toothpaste 27001
The father would use the toothpaste alone for 15 days, the mother for 12 days, and the daughter for ten days. It was used by all three for three days, then only the father and mother. How many days have they used it since the beginning of its use? - Shell area cy
The cylinder has a shell area of 300 cm square, while the height of the cylinder is 12 cm. Calculate the volume of this cylinder. - The cylinder
The cylinder has a surface area of 300 square meters, while the cylinder's height is 12 m. Calculate the volume of this cylinder. - Circumference 26651
A rectangle with sides of lengths a, b (cm) has a circumference of 100 cm. The dependence of its area P (in cm2) on the number a can be expressed by the quadratic function P = sa + ta². Find the coefficients s, t.
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