Reasoning - math word problems - page 65 of 88
Number of problems found: 1754
- Cylinder surface
The area of the rotating cylinder shell is half the area of its surface. Calculate the surface of the cylinder if you know that the diagonal of the axial section is 5 cm. - Rope
How many meters of rope 10 mm thick will fit on the bobbin diameter of 200 mm and a length of 350 mm (the central mandrel has a diameter of 50 mm)? - Square diagonal
Calculate the diagonal of such a square, which holds that its area is equal to its perimeter (without considering units numerically ...). - Car travel
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? - Gear wheels
There are two gears in the wall clock. The larger wheel has 54 teeth, and the smaller one has 24 teeth. How many times does the small wheel turn if the big one turns four times? - Bags
The first bag weighs 18 kg, the second bag is one-third lighter than the first, and the third bag has one-third as much than the weight of all three bags. Determine their weights. - Bicycles
You're the owner of the transport's learning playground. Buy bicycles of two colors, but you've got to spend accurately 120000 CZK. The Blue bike costs 3600 CZK and the red bicycle 3200 CZK. - Probability - triangles
We have five lines with lengths of 3 cm, 5 cm, 7 cm, 9 cm, and 11 cm. What is the probability that we will be able to construct a triangle with randomly selected three? - Family
A mother is 42 years old, and her daughters are 13 and 19. After how many years will the mother be as old as both her daughters combined? - Two aces
From a 32-card box, we randomly pick 1 card and then two more cards. What is the probability that the last two drawn cards are aces? - Hamsters and guinea pigs
In the morning, they had two times more hamsters than guinea pigs in the store. After selling 4 guinea pigs and 4 hamsters, they were left with four times as many hamsters as guinea pigs. How many hamsters and guinea pigs did they have together in the sho - In the orchard
They planted 25 apple trees, 20 pears, 15 plums, and 40 marbles in the orchard. An intense late frost, however, destroyed a fifth of all new trees. Unfortunately, it was all the trees of one kind of fruit. What is the probability that the plums have died - Plum dumplings
Three journeymen on their apprenticeship arrived completely exhausted at a tavern and ordered – it was at the end of summer – plum dumplings for supper. While supper was being prepared, they chattered and dozed at the table, until they fell soundly asleep - Family members ages
The son, mother, and father are 96 years old. A mother is 23 years older than her son and five years younger than his father. How old is a son? - System equations
Determine the smaller root of the root pair of the system of equations. 5a + 4b = 11 3a - 2b = 11 - Goats and geese
There are five animals in the yard. There are only goats and geese. They have a total of 14 legs. How many geese and how many goats are in the yard? - 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 - Tennis tournament
Eight tennis players took part in the tennis tournament. They were divided into two groups of four. In each group, everyone played each other once. The winner of the first group played the winner of the second group in the final. They did not play other m - Trapezoid thirds
The ABCD trapezoid has parallel sides AB and CD. The E point lies on the AB side. The segment DE divides the trapezoid into two parts with the same area. Find the length of the AE line segment. - Have solution
The sum of four consecutive even numbers is 92. Determine these numbers.
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