Reason - practice problems - page 9 of 109
Number of problems found: 2168
- Banknote cash register
Cashier Samuel had a total of 20 banknotes in the cash register with a total value of 850 euros. They were only €50 and €20 notes. How many of each bill did he have? - Shape perimeter fourth
Péta composed several planar shapes from mutually congruent triangles. The circumferences of the first three are 8 cm, 11.4 cm, and 14.7 cm, respectively. Determine the perimeter of the fourth shape. - Spider fly legs
There are spiders and flies on the window. They have a total of 38 legs. How many spiders and flies are there if a spider has 8 legs and a fly has 6? Just give one solution. - Class weight average
There were 31 students in the class, and the arithmetic average weight was 43 kg. Calculate the average weight in the class if a student weighing 91 kg has been added to the class. - Jane bought
Jane bought several identical lined notebooks, several identical squared notebooks, and several identical compasses at a stationery store. Two lined notebooks and two squared notebooks cost a total of 180 crowns. Two squared notebooks cost the same as thr - Number sum divisibility
Adam wrote the following sum with five secret adders: a + bb + ccc + dddd + eeeee. He revealed that the characters "a, b, c, d, e" represent the different digits 1, 2, 3, 4, and 5 and that the resulting sum is divisible by 11. Which is the smallest and wh - Cinema seating ways
How many different ways can Milka, Peter, Joseph, and Renata sit next to each other in the cinema if Milka always sits in seat number 1 and Peter always sits in seat number 4? List all options. - Odd number sum Determine the sum of all positive odd numbers less than 78
- Bag marble yellow
The bag has 5 red, 7 white, 10 yellow, and 6 black balls. At least how many marbles must be drawn from the bag to ensure that there will be 3 yellow ones among the drawn balls? - Clock hand angle
Calculate in degrees the size of the acute angle made by the hands of the clock at half past six. - Club members
The fan club has 275 members. Some members went to the match by train. Determine how many members rode when they could fill the wagons with either 60 or 80 seats. - Cube cuboid minimum
Let us have a cube whose edge length is expressed in centimeters and is a natural number. What is the smallest number of such identical cubes that can be made into a cuboid with dimensions of 24 cm, 32 cm, and 60 cm? How long will the edge of these cubes - Probability - shelf
Ten books are placed randomly on one shelf. Find the probability that certain three books are placed next to each other. - Classmate strawberry baskets
Three classmates worked part-time during the summer vacation harvesting strawberries. Jan collected 145 baskets of strawberries during the entire brigade. Peter collected 185 baskets. How many baskets did their classmate Stan collect if we know that the b - Triangulation - 3 places
Determine the distance between two inaccessible places K, L, if the angles KAL=62°10", LAB=41°23", KBL=66°34", and LBA were measured from points A, B, which are 870 m apart = 34°52". Thank you. - Cyclist opposite distance
A cyclist left Olomouc in the direction of Zábřeh in 6 h 30 min at an average speed of 24 km/h. At 7:40 a.m., a cyclist left Olomouc opposite Ostrava at an average 36 km/h rate. At what time will they be 112 km apart? - Tennis serve percentage
The tennis player won precisely 55% of the balls during his serve. In doing so, he served less than thirty times. How many times did he serve? - Pool man woman
A total of 680 adults visited the swimming pool yesterday, among whom there were 30% fewer men than women. How many men visited the swimming pool yesterday? - Remaining
Mom baked buns for dinner. Dad ate 1/3 of them. Then Jurko came and ate a quarter of the remaining buns. After Jurko came to Martin, who ate a third of the remaining buns. Anka ate half of the remaining buns and Mom was left with four buns. How many buns - Circle - analytics geometry
Write the equation of the circle that passes through the points Q[3.5] R[2.6] and has its center on the line 2x+3y-4=0.
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