Examples for secondary school students - page 46 of 212
Number of problems found: 4231
- Roller
The cylinder shell has the same area as one of its bases. The cylinder height is 23 dm. What is the radius of the base of the cylinder? - Angles in triangle
The triangle is the ratio of the angles β:γ = 6:8. Angle α is 40° greater than β. What is the size of the angles of the triangle? - Seating
How many ways can 7 people sit on 5 numbered chairs (e. g., seat reservation on the train)? - Difference 7742
The difference between the two numbers is -85. Their sum is 89. Determine these numbers. - 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? - Probability 82744
Ten books are placed randomly on one shelf. Find the probability that certain three books are placed next to each other. - Questions 81676
You will learn 50% of the 30 questions. If I get 4 questions, I'll know 3. - Determine 81587
Determine the type of polygon if the number of all diagonals is 90. (Write down the number of its pages.) - Probability 81115
The probability of sprouting each avocado pit is 0.9. We planted 3 stones. What is the probability that exactly two of them will sprout? - Probability 80860
During the exam, the student takes 3 questions out of 20. He is ready for 14 of them. Find the probability that he draws at least one that he knows. - Sequence 80450
How many terms does the sequence have if a1=4, Sn=589, d=3, n=? - Triangle of cans
A display of cans on a grocery shelf consists of 28 cans at the bottom, 25 cans in the next row, and so on. There are nine rows on a shelf. How many cans are there in the 9th row? How many cans in total are on display? - Indistinguishable 74294
We have eight compartments where we put three indistinguishable balls and two distinguishable ones. How many options do we have? - Conductor 66234
For how long does a charge of 600 C pass through the conductor at a current of 1 A.? - Summands 66044
Divide the number 6 into three summands x, y, z so that x: y = 4:3, y: z = 1:2. - Probability 64174
The banker deals, on average, with five clients a day. Find the probability that the number of clients (in one day) will be greater than 4. - Contradiction 55571
Use the truth table to evaluate the truth of the compound statement (a) [P ∧ (Q ∨ R)] ⇔ [(P ∧ Q) ∨ (P ∧ R)] (b) ¬(P ⇒ ¬Q) ⇒ (¬P ∧ Q) and decide each time whether it is a tautology or A contradiction. - Tetrahedron 46451
Calculate the surface of a regular tetrahedron if the length of the wall height v = 1 dm. - Participants 31351
How many ways can the first, second, and third prizes be awarded to the 15 participants in the math competition? - Probability 30421
There are 25 students in the class, 12 of whom are not ready for math. There are five students in the math class. What is the probability of at least 3 being math-ready?
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