Reason + numbers - practice problems - page 5 of 43
Number of problems found: 857
- Calculation 73364
From the number 5,4,0,7,8, create three-digit numbers, so they do not repeat and solve the problem by calculation. - Apples
Three types of apples are mixed in a box. What is the smallest number of apples we have to take from the box so that there are certainly at least three apples of the same kind among them? (Explain your solution!) - Calculate 73024
Calculate the permille descent of the railway line in the section of 7.2 km by 21.6 m. - Between 72924
How many ways do we know to select three cards from a deck of seven cards so that there are two red and one green between them?
- Numbers 72404
How many numbers are less than 200, the digit sum of which is 6? - Probability 72324
We used the digits 2, 3, 4, 5, and 7 when entering the PIN code, and we only used each digit once. What is the probability that someone will guess our PIN code on the first try? - Groups 72194
I have eight groups. How could they place first, second, and third? - Observatory 71934
The aircraft flying towards the observatory was aimed at a distance of 5300 m at an elevation angle of 28º and after 9 seconds at a distance of 2400 m at an elevation angle of 50º. Calculate the distance the plane has flown in this time interval, its spee - Strawberry 71664
The opaque package contains five lemons, six apples, and three strawberry candies. At least how many sweets do we have to choose so that there is at least one strawberry among them?
- Originally 71464
The father originally wanted to divide the financial amount between his sons in the ratio of 7:6. However, he then split it at 6:5 (in the same order). One of the sons got angry that he should have received 120 euros more. How many euros did each son rece - Including 71274
We used 1533 digits to number the rough book. How many pages does this book have if each page, including page 1, is numbered? - Probability 71204
On ten identical cards, there are numbers from zero to nine. Determine the probability that a two-digit number randomly drawn from the given cards is: a) even b) divisible by six c) divisible by twenty-one - Distinguish 71184
We randomly choose a family with three children. We distinguish between gender and age. Determine the probability that: a) the youngest girl will be among the children b) all children will be of the same sex - Probability 71174
Find the probability that one will fall at least once in three rolls.
- Two-digit 71134
How many natural two-digit numbers can we form from the digits 0, 1, 2, and 3 if we cannot repeat the digits in these numbers? - Polya's method
On the way home from school, Dora likes to eat cookies. One daytime, just as she reached into her backpack, Swiper jumped into her path and grabbed her bag. It stole half of her cookies plus two more. A bit shaken, Dora continued home. Before she had a ca - Variations 70724
If we increase the number of elements by 2, the number of variations of the second class without repetition increases by 22. How many elements do we have initially? - Combinations 70714
If we increase the number of elements by 1, the number of combinations of the third class without repetitions increases by 10. How many elements do we have? - Bracelet 70684
A gold ring with a width of 1 cm is made by drilling a sphere with a radius of 1 cm through its center. A gold bracelet with a width of 1 cm is made by drilling a sphere with a radius of 4 cm through its center. Which piece of jewelry will be worth more i
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