Algebra - math word problems - page 324 of 353
Number of problems found: 7043
- Meeting handshake count
After the meeting, all participants shook hands with each other - a total of 105 times. How many people were there at the meeting? - Combinations - elements
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? - Average mark
Calculate the average grade in English if a student received 2 grade 3 s, 20% fewer grade 2 s than grade 3 s, and 50% more grade 1 s than grade 2 s. - Twenty-five
How many are three-digit natural numbers divisible by 25? - Delivery scrap percentage
In the first delivery of 120 parts, there was 5% waste. In the second delivery in which, 10% of the 80 were scrapped. How much scrap was brought in with the first and second deliveries combined? What % of scrap was there in both deliveries of parts, out o - Scarf knitting time
Grandma knits a scarf. Knit 15 cm per day. He has it ready in 16 days. How many cm does she have to knit in 1 day to make it in 9 days? - Set variation increase
If we add one element to set A, the number of third-class variations increases two times. How many elements did the set initially contain? - Doctor 2
A doctor noted the Diastolic Blood Pressure (DBP) of a large number of patients. Later, he scrambled the data to keep the privacy of his patients. Based on the scrambled dataset, he finds that the lower inner fence is equal to 50 and the upper inner fence - Solution mixing calculation
How many grams of 80% solution and 55% solution do we need to mix to obtain 100 grams of 60% solution? - Number divisor proof
The natural number n has at least 73 two-digit divisors. Prove that one of them is the number 60. Also, give an example of the number n, which has exactly 73 double-digit divisors, including a proper justification. - MO C–I–1 2018
An unknown number is divisible by just four numbers from the set {6, 15, 20, 21, 70}. Determine which ones. - Tree planting
Štěpán is planting trees. If he had planted 12 trees every hour instead of 9 trees, he would have finished 1 hour earlier. How many stems should he plant? - Traffic accidents
Of the total number of traffic accidents, 80% occur within built-up areas and 20% outside them. If the number of traffic accidents within built-up areas were reduced by 40%, by what percentage would the total number of traffic accidents decrease? - A 36
A 36 g sample of the substance contains 91% water. After drying, the weight of the sample was reduced to 18 g. What percentage of water is now in the sample? - Coins
The money - -coins are minted from the hardest bronze, which contains copper and tin in a ratio of 41:9. How much copper and tin are in 2 kg of bronze money? - Working together
Two people will do the work in 12 days. They worked together for eight days. Then only one worked for ten days. How many days would each of them do the work if he worked alone? - Hectares of forest
Twelve workers plant 24 ha of forest in 6 days. How many days will 15 people and 12 people plant in the same area? - Pouring alcohol
100 liters of alcohol has 70% How many liters of water must be added to have 60% alcohol? - The hiker
The hiker will travel 40% of the route on the first day and 1/3 of the rest on the second day. Last day 30 km. What was the length of the 3-day trip? How many kilometers did he walk each day? - Four workers
Four workers lay on the gym floor for six hours. After an hour of working together, one of the workers went to the doctor. How long will it take for the remaining three workers to complete their work?
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