Reason - practice problems - page 5 of 99
Number of problems found: 1972
- Probability 81679
What is the probability that a roll of three dice will result in a number less than 7? - Probability 81678
What is the probability of guessing a PIN code (4 numbers) if it contains only even numbers? - Questions 81676
You will learn 50% of the 30 questions. If I get 4 questions, I'll know 3. - Dimensions 81670
A wooden crate with dimensions d=3m, e=4m, and f=3m was placed in a transport container with dimensions a=10 m, b=4m, and c=3m. What is the maximum length of a straight, rigid rod of negligible diameter that can still be placed in the container in this si - Probability 81637
We randomly select three different points from the vertices of a regular heptagon and connect them with line segments. The probability that the resulting triangle will be isosceles is equal to: (A) 1/3 (B) 2/5 (C) 3/5 (D) 4/7 - Consecutively numbers
How many ways are there to arrange the numbers 3, 2, 15, 8, and 6 so that the even numbers are arranged in ascending order (not necessarily consecutively)? - Classroom 81621
On a classroom clock, the large (minute) hand on the clock will travel through an angle of 120 degrees in some time. What angle does the small (hour) hand pass in this time? - Restaurant 81584
Four students were paying the bill in the restaurant. Jan paid 7 rums and 20 beers, Adam 20 rums and 7 beers, Víťa 12 rums and 25 beers, and Dan 25 rums and 12 beers. Jan paid 20% less than Adam. By how much % less did Víťa pay than Dan? - Circumference 81557
Calculate how many volleyballs with a circumference of 65 cm fit into a cube-shaped rack whose edge is 100 cm long. - Wreaths 81547
Eva paid €8.4 for three wreaths and five creams. Jana paid €15.6 for 9 wreaths and 7 creams. How many crowns will Jan pay for one wreath and one cream? - Increased 81490
Suzan managed to get 40 points out of a possible 60 from the last paper. Her average number of points from the tests increased from 27 to 28 points. How many points should she have written if she wanted her overall average to rise to 29 points? - Indistinguishable 81481
How many ways can a tower of five yellow and four blue cubes be built so that each yellow cube is adjacent to at least one other yellow cube? Yellow dice are indistinguishable, and so are blue dice. - Quadrilateral calc
The square ABCD is given. The midpoint of AB is E, the midpoint of BC is F, CD is G, and the midpoint of DA is H. Join AF, BG, CH, and DE. Inside the square (approximately in the middle), the intersections of these line segments form a quadrilateral. Calc - Probability 81446
What is the probability that each digit is different in a five-digit number? - Several resistors
We have a box with the same resistors, so all of them have a resistance value of 200 ohms. Draw the connection of several resistors so that the resulting resistance is: a) 100 b) 120 (only 4 resistors) - Indistinguishable 81236
There are 32 red socks and 32 blue socks in a drawer. The left and right socks are indistinguishable. You pull your socks out of the drawer in the dark. How many do you have to take out to make sure you have a pair when you look at them? - Doppler effect
The observer moves away from the source at a speed of 12 m/s. The source produces sound with a frequency of f=475 Hz. What is f2 (frequency of sound perceived by the observer)? v= 340 m/s. - Twenty-five 81187
Twenty-five prizes are drawn in a raffle with 500 tickets. How many tickets do we need to buy to ensure I win at least 3 prizes? - Equilateral 81142
The rotating body was created by rotating an equilateral triangle with a side length of a=2 cm around one of its sides. Calculate the volume of this rotating body. - Quatrefoil 81138
Gothic quatrefoil is an ornament in which four identical touching smaller circles are inscribed in a larger circle, as you can see in the picture. The radius of the great circle is one meter. Calculate the radius of the smaller circle in meters.
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