Reason - practice problems - page 8 of 108
Number of problems found: 2142
- Peleton
In a cycling race, the peloton travels at an average speed of 36 km/h. One competitor took 5 minutes to repair a puncture. How many kilometers per hour was his speed greater than the speed of the peloton when he caught up with him in 20 minutes? How long
- Probability 83267
The cube has 6 blue, 8 red, and 10 green balls. The player randomly draws 3 balls. Determine the probability that he draws balls of the same color.
- Percentage 83250
There were four times more girls than boys at the show. By what percentage were there more girls than boys at the show?
- Condition 83228
Three boys, Ivo, Vlado, and Alan, are reading the same book, with the condition that they will read the same number of pages every day during the entire reading until they finish the book. Ivo reads 18 pages from it every day, Vlado reads 24 pages, and Al
- In a queue
There are cars and trucks in a queue in front of a toll gate. A truck is three times longer than a car. Calculate how many cars are in front of the car that has just arrived, if there is one truck among them, which is one eighth of the length of the queue
- Beatka 83184
Anna had 3 times more than Beatka. Cilka had 2 euros more than Beátka. They had a total of 52 euros. How much did each have?
- Administrative
There are 21 employees working in a warehouse - manual and clerical workers. When adjusting the wages, they reduced the daily wage of each clerical worker by €3 and increased the daily wage of each manual worker by €2, so the total daily wage increased by
- Successful 83167
Eighth-grade test results: 8D =? 8B = 47 8A = 44 8E = 37 8C = 28 Class 8A achieved exactly the average result. How many points did the winning class 8D get? By what % is class 8B more successful than class 8C?
- Students 83149
There are 30 students in the class. Five had a mark three — other twos and ones. The average grade was 1.9. How many students got mark one?
- Tetrahedron 83144
A container shaped like a rotating cylinder with a base radius of 5 cm is filled with water. If a regular tetrahedron with an edge of 7 cm is immersed in it, how much will the water level in the container rise?
- Republican 83136
In the republican calendar (used in France from 1793 to 1805), one full day was divided into 10 hours; each hour had 100 minutes, and each minute had 100 seconds. What time would the clock show at that time when today's clock reads 15:36?
- Probability 83133
The mobile PIN has 4 characters. What is the probability that the PIN contains the number 7 and ends with the number 5?
- Banknotes 83131
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?
- Circumferences 83111
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.
- Solution 83099
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.
- Arithmetic 83094
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
- Characters 82998
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
- Different 82982
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.
- Determine 82975
Determine the sum of all positive odd numbers less than 78
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