Basic operations and concepts - math word problems - page 226 of 320
Number of problems found: 6399
- Toys
3 children pulled 12 different toys from a box. How many ways can toys be divided so each child has at least one toy?
- Vertical 29801
The shadow of the building is 16 m long, and the shadow of the vertical meter rod is 0.8 m long at the same time. What is the height of the building?
- Calculate 82875
A working load weighing 50 kg is placed on the wheel at a distance of 50 cm from the axis of rotation. Calculate the force required to lift the wheel. Hansel lifts the wheel at a distance of 1.5 meters from the axis of rotation. The weight of the wheel is
- Custom-made 81913
On October 1, 2022, the customer ordered a custom-made kitchen from a carpentry company. Delivery time is 1 month. Four carpenters should work on the order in the workshop for 21 working days. Will they be able to deliver the kitchen on time if one of the
- Children 81675
Mikuláš came to hand out gifts on December 6th and found out that he could hand out gifts to five children in 15 minutes with only one helper. How many minutes did they give out gifts to 40 children if Santa called 5 helpers?
- Consumption 29991
What kind of petrol consumption in liters of 100 km did the car have when driving in the city if it consumed 34 liters of petrol and drove 388 km?
- Reappeared 3152
At 6:15, a ghost conjured a clock that showed the correct time. At that moment, the hands on the clock began to move at the correct speed but in the opposite direction. The ghost reappeared at 7:30 p.m. What time was the clock showing at this moment?
- Trapezoid 83
Trapezoid ABCD is composed of five triangles. Points E, and G divide segment AB in the ratio 2:4:3 (in this order) into three segments. Point F is the midpoint of segment AD. Triangle AEF is isosceles and right-angled. Triangles GBC and CDG are right-angl
- Axial symmetry
Find the image A' of point A [1,2] in axial symmetry with the axis p: x = -1 + 3t, y = -2 + t (t = are a real number)
- Average mark
In the 6th class, the average half-year mark in physics was 1.7. At the end of the year, Mathias improved his mark from 2 to 1, Ivana from 3 to 2, and Elena from 4 to 2. Paul worsened his mark from 3 to 4. The average mark of the whole class thus improved
- Two diggers
Two diggers should dig a ditch. If each of them worked one-third of the time the other digger needed, they'd dig up a 13/18 ditch together. Find the ratio of the performance of these two diggers.
- Bus stop
Find at what time the bus leaves from the bus stop outside the village. If you know that when you leave home at 8:00 and go at a speed of 3 km/h, you come to a stop 9 minutes after the departure of the bus, and when you go at a speed of 4 km/h, you come t
- Sprinter
Sprinter runs the relay 4 x 400 m to the handover at a 42 km/h speed. A second runner is at the start of the handover area 20 m long and runs when it is the first sprinter at a distance of 10 m. Calculate the speed at which the second runner must run to t
- Percentage 7469
The barrel contains 199 liters of 38% acid solution. What percentage of acid is created when we take 61 liters and replace it with the same amount of water?
- Increases 80774
A bus travels between places A and B. If it increases its average speed by 5 km/h, the travel time will be reduced by 20 minutes. If he reduces his original speed by 4 km/h, the driving time is increased by 20 minutes. What is the average speed of the bus
- Traveling 4836
A passenger car traveling at a speed of 60 km/h arrived from place A to place B one and a half hours earlier than a truck traveling at 40 km/h. How far apart are placed A and B, and how long did the car travel?
- There
There are 24 students in the class. The math class is divided into two groups of 12 students on Friday. The table shows the results of pupil assessment in the two groups. Three students in the first group had worse grades than those in the second group. T
- Workers
Workers are digging a jump pit in the schoolyard. The pit is cuboid in shape, with a length of 5 m, a width of 20 dm, and a depth of 36 cm. They excavate 0.4 cubic meters of soil an hour. How much time (hours and minutes) is needed to excavate this pit?
- Distances 83452
For shorter distances, small train sets are marked with three different letters from the company name run; how many small sets can be marked like this?
- Percentages 83188
There are 10 bags displayed in the store, 2 of which have a hidden error. Buyers randomly choose one bag. Express in percentages the probability that they will buy the bag without a mistake.
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