Themes, topics - math word problems - page 30 of 174
Number of problems found: 3477
- Perpendicular roads
Two roads meet at a right angle. On one road there is place P at 5 km from the intersection, on the other road there is place R at 12 km from the intersection. Places P and R are connected by a direct path. A pedestrian goes from place R to place P along - Quadrilateral calc
The square ABCD is given. The midpoint of AB is E, the midpoint of BC is F, CD is G, and the midpoint of DA is H. Join AF, BG, CH, and DE. Inside the square (approximately in the middle), the intersections of these line segments form a quadrilateral. Calc - Car intersection speed Two cars started from the right-angled intersection of two roads. The first at a speed of 80 km/h and the second at a speed of 60 km/h. How fast are they moving away from each other?
- Room plan area
The area of the square-shaped room on the drawing with a scale of 1:150 is 6 cm². Determine the actual area of the room in square meters. - Tank inlet filling
The tank is filled through three openings, A, B, and C. The simultaneously open inlets A and B are filled in 1 hour, inlets A and C in 45 minutes, and inlets B and C in 1.5 hours. How long would it take to fill each inlet separately? - Seawater salt evaporation
Seawater contains 3.4% salt. How much salt do we get by evaporating 25 kg of seawater, and how much water evaporates? - MO Z6-I-3 2022
Magda cut out two identical isosceles triangles, each of which had a perimeter of 100 cm. First, from these triangles she formed a quadrilateral by placing them together by their legs. Then from them she formed a quadrilateral by placing them together by - Tourist distance time
The tourist walked 1/4 of the way at a speed of 4.5 km/h, 2/5 at a speed of 4 km/h, and the remaining 7 km at a speed of 5 km/h. How many kilometers did he run, and how long did the journey take him? Calculate the time in a fraction. - In the dairy 2
In a dairy they have two lines for filling milk cartons. The more modern line is one and a half times faster than the old line. When both lines work simultaneously, they fill the usual daily amount of milk cartons 5 hours earlier than when only the old li - Bus car pursuit
At 7:30 AM, the bus left at a speed of 45 km/h, and at 8:00, a car behind it started at 65 km/h. Where and when did they meet? - Car meeting location
Cars left two places 520 km apart simultaneously at speeds of 30 km/h and 50 km/h. Where and when will they meet? - Vitamin doses
Children and adults take the recommended daily dose of vitamins throughout the year. According to the package insert, the recommended daily dose for a child is half that of an adult. Two adults together consume one pack of vitamins in 30 days. How many da - Beetle cabbage pursuit
Theodore the beetle set off from the house towards the cabbage leaf at a 20 m/min speed. Two minutes later, Max the beetle followed him at 24 m/min speed. They both came to the cabbage leaf at the same time. How far was the cabbage leaf from their house? - Park path triangle
The paths in the park form a right-angled triangle, which on the map with a scale of 1:200 has two dimensions of side lengths of 9 cm and 15 cm. Grandma walks this route every day for a health walk. How many meters does she walk? - Several resistors
We have a box with the same resistors, so all of them have a resistance value of 200 ohms. Draw the connection of several resistors so that the resulting resistance is: a) 100 b) 120 (only 4 resistors) - Car distance remaining The car travels from Prague to Brno at a speed of 80 km/h and still has 15 minutes to drive. How far is it from Brno?
- City distance centimeters The cities are 400 km apart; how many cm is it on a 1:400,000 scale map?
- Train
A train moves along a track at constant speed v0 for a time t1 = 1.00 h, but then it must stop due to works on the track and waits at the place for a time t2 = 0.50 h. When it gets moving again, its constant speed is only 75% of the original speed v0. The - Examples on solutions
Example no. 1: For the preparation of a 2% solution we need 20 l of water. How many ml of preparation do we use? Example no. 2: How many litres of water/preparation do we need for the preparation of 20 litres of a 2% solution? Example no. 3: How many litr - Highway construction weeks
The first group of construction workers would build a certain section of highway in 15 weeks, and the second group would make it in 10 weeks. After four weeks of working together, the second group was dismissed, and only the first group continued to work.
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