Reason - practice problems - page 8 of 109
Number of problems found: 2168
- Train Set Markings
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? - Wardrobe code
Lucia has a lock on her wardrobe that opens with a 4-digit code (such as 0000, 0089, or 9123). Lucia forgot her code. But she knows that the sum of all four digits of her code is 4. How many such codes are there? - Siblings
48 children took part in the school trip. Six of them were there with one sibling, nine children were there with two siblings, and four with three siblings. The others did not have siblings on the trip. After returning, their parents were waiting for the - Dividing Chocolate Fairly
Granddaughter Mia helped the old for 3 days, Ema for 2 days, and Zoja for 4 days. If the grandmother wants to reward her granddaughters fairly according to how long they have been helping her, in what proportion should she divide the chocolate among her g - Dice - 5 times
We roll the dice five times. Make sentences: a) 3 events that definitely cannot happen. Write a reason for each. b) 3 events that will definitely occur; write a reason for each. Another problem: 3 events that may or may not occur for each. Write a reason. - Married pairs
In how many ways can we seat five guests at a table, two of whom are married and want to sit next to each other? - Probability - defective parts
There are 10 parts in the box, and 3 of them are defective. Let's choose 4 components at random. What is the probability that it will be among them a) 0 defective, b) just one defective component, c) just two defective components, d) exactly 4 defective c - Calculate rhombus
Calculate the height of the rhombus ABCD on side BC if AB=7cm, BC=5.5cm, and the height of the first side on AB=4.4cm. - 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 - coloured balls
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. - Show girl percentage
There were four times more girls than boys at the show. By what percentage were there more girls than boys at the show? - Boys book pages
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 - Anna Beatka money
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 - Test class results
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? - Class grade average
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 water level
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 calendar conversion
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? - PIN probability number
The mobile PIN has 4 characters. What is the probability that the PIN contains the number 7 and ends with the number 5?
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