Reason - practice problems - page 5 of 108
Number of problems found: 2142
- On the board
A problem for dividing two positive numbers was written on the board. David noticed that if he increased the dividend by 2 and the divisor by 7, the quotient would not change. By how much should the divisor be increased so that when the dividend is increa - Three numbers The product of three natural numbers is 600. If we reduced one factor by 10, the product would decrease by 400. If we increased one factor by 5 instead, the product would increase to twice the original value. Which three numbers have this property?
- Teeth
An adult has a total of 32 permanent teeth. How many of them are molars if 1/4 of the teeth are incisors, another quarter are molars and the remaining quarter are canines? - Average 110
The average of five numbers is 1.3 their sum is? The arithmetic mean of the numbers 0.04; 0.014; 0.21 is? The arithmetic mean of four decimal numbers is 2.5. Three of these numbers are 1.8; 0.65; 3.1 the fourth number is? - Buses 7
Two lines leave the bus stop according to the schedule A) 8:00 every 6 minutes until 23:00h B) 8:00 every 14 minutes until 23:00h How many times will buses of both lines leave the bus stop simultaneously between 8:01 and 20:00? - Cinema visitors
There are 35 seats in each row of an open-air cinema. Determine the maximum number of visitors that can fit in the viewing area, if we know that there are more than 705 and less than 740. - Green cards
We draw 4 cards from 32 cards. In how many ways can we draw a) exactly 2 aces, b) 3 green ones
- In the shipment
There are 40 products in the shipment. Of these, 4 are defective. In how many ways can we select 5 products so that exactly 3 of them are good? - February sales
The company earned only four-fifths of what it earned in January in February. How many percent more did the company earn in January than in February? - Children - dividing
What is the least amount of nuts we need to have to divide them among 10, 12, and 18 children? - Hockey - game
A hockey goalkeeper has a save success rate of 93.5%. What is the probability that he will keep a clean sheet in a match when facing 25 shots? What is the probability that he will concede a maximum of 2 goals? - Four-digit number
Juraj is thinking of a four-digit number that he told us about: (a) Its digit sum is one hundredth of the number that I get by rounding the imaginary number to hundreds. (b) Its last digit is 1 more than the second-to-last. (c) The sum of its last two dig - MO Z7 2025
Adela and Susan ate plums. On the first day, Adela ate three quarters of what Susan ate that day. On the second day, Susan ate three halves of what Adela ate that day. Together, they ate 31 plums over the two days, and each girl ate the entire number of p - Table - tablecloth
Mrs. Vránová has a square table with a side length of 110 centimeters. She wants to have a square tablecloth sewn on it so that its corners extend beyond the edges of the table by 25 centimeters. What dimensions should the tablecloth have? - Create 2
Create a suitable table and fill in the data: The production of four machines takes a total of 80 hours. Each machine is produced for the same amount of time. How long does it take to produce 1 machine, 2 machines, 5 machines?
- Left-handed
There are 100 people in a room, 99% of whom are left-handed. How many left-handed people must leave the room to reduce this proportion to 98%? - Thinking unknown n I am thinking of a number. If I subtract 14 from it and multiply by 6, I get the number 210. What is the number I am thinking of?
- Quarters 84104
How many sixths do we need to add to two-thirds to get four quarters? - Tank 28
The tank fills in 120 hours. When irrigated, it empties in 10 days. At what time will it fill with simultaneous irrigation? - Divisible PIN
Marek's mother helped him with his shopping. She wanted to pay with a card when collecting the goods in person, but she wasn't sure what her PIN was. Could it have been if her PIN code was a number divisible by six?
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