Themes, topics - math word problems - page 119 of 152
This page contains thematic word problems. We have about 20 main topics, such as motion problems, mixtures, work problems etc. Please choose a specific topic that interests you from the menu. Examples within a topic usually train similar knowledge. For example, in movement tasks, terms such as distance, speed, and time often occur.Number of problems found: 3024
- Minutes 4465
Peter and Karel live at the same address. Peter will drive to the stadium in 30 minutes and Karel in 40 minutes. If Karel goes 5 minutes early, where will Peter catch up? - Celebration 4461
Anička has 50 CZK, Anežka has 46 CZK, and they want to use all the money to buy desserts for a family celebration. They decide between cakes and pinwheels. A pinwheel is CZK 4 more expensive than a cake, and for all the money, you could buy a third more c - Average 4458
The first third of the track was driven by a car at a speed of 15 km/h, the second third at a speed of 30 km/h, and the last third at a speed of 90 km/h. Find the average speed of the car. - Passengers 4456
A train running at 20 m/s sees passengers through the window for 5 seconds. Another train with a length of 250 m runs on the siding in the opposite direction. Find the speed of the second train.
- Eight-tenths 4453
How far is it from Prague to Mladá Boleslav when 40 km is eight-tenths of this distance? - Expression 4451
Find the largest natural number d that has that property for any natural number the number n is the value of the expression V (n) = n ^ 4 + 11n²−12 is divisible by d. - Coefficients 4445
Find all triplets P (x) = a * x² + b * x + c with the integer coefficients a, b, and c to which it applies P (1) - Hours 4443
Lada drove 27 km in 3 hours. How many km will he go in 7 hours? - Alcohol 4441
How much 55% alcohol do we need to add to 2 liters of 80% alcohol to produce 60% alcohol? How much is 60% of alcohol made?
- Antelope 4440
The cheetah began to chase the antelope, and there was a distance of 120 m between them. Although the antelope ran at 72 km/h, the cheetah caught up with it in 12 seconds. How fast was the cheetah running? - Opposite 4439
It is 250 km from Prague to Olomouc. At 6 o'clock, a train left Prague for Olomouc at a speed of 85 km/h. At that exact moment, a train from Olomouc left opposite him at 65 km/h. What time do the trains meet? - Inequality 4434
The heel of height from the vertex C in the triangle ABC divides the side AB in the ratio 1:2. Prove that in the usual notation of the lengths of the sides of the triangle ABC, the inequality 3 | a-b | holds - Shopkeeper 4433
The seller of Christmas trees sold spruces for 220 CZK, pines for 250 CZK, and hemlocks for 330 CZK. In the morning he had an equal number of spruces, hemlocks, and pines. In the evening, he had sold all the trees and received a total of 36,000 CZK for th - Concentration 4419
We added 300 g of water to a 400 g of salt solution. This step reduces the solution's concentration by 5%. How much water did the original solution contain, and what was its concentration?
- Simultaneously 4412
While hunting, the dog sees a hare in the bushes 20 meters ahead. The hare starts running, and the dog starts chasing it simultaneously. A hare runs at a speed of 39 km/h, and a dog at 45 km/h. In how many seconds does the dog catch up with the hare? - Ice and water
We want to cover a rectangular rink with dimensions of 55 m and 25 m with a 4cm thick layer of ice. How many liters of water do we need if freezing water increases its volume by 10%? - Materials 4405
Two trucks were supposed to load the building materials in 10 days. After 6 days of work, the first car broke down, and the second one carried building materials for another 9 days. How many days would the first and second cars take the building materials - Apples 2
Dried apples contain 15% water. Fresh apples contain 80% water. How many kilograms of apples do we need to buy to get 3 kg of dried apples? - Fuel economy
How many kilometers is sufficient petrol in the cylinder fuel tank with a diameter of 40 cm and the base of tank length of 1 m when it is filled to 60%, and if the car consumes 15 liters per 100 km?
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