Basic functions - math word problems - page 263 of 311
Number of problems found: 6217
- Differences 80551
Bolek and Lolek each had their own arithmetic sequence. Both Lolek and Bolek's sequence started with the number 2023 and ended with the number 3023. The two sequences had 26 numbers in common. The ratio of Bolek's and Lolka's difference was 5:2. What is t
- Wendy
Wendy deposits R6500 into an account, paying 8% annual interest compounded monthly. How much money will be in her account after 84 months of paying 8% annual interest compounded continuously?
- Mr. Vojta
Mr. Vojta put in the bank 35000 Kč. After a year at the bank, he was credited with an interest rate of 2% of the deposit amount. How, then, will Mr. Vojta be in the bank?
- Coordinate 82580
Write the equation of the ellipse that passes through the points, and its axes are identical to the coordinate axes when A = [2, 3] and B = [−1, −4].
- Themselves 33561
How many ways can a 6-member football club member choose a leader and captain from among themselves?
- Cylinder-shaped vase
If the cylinder-shaped vase is filled with water up to 35 cm, it contains 1 liter of water. How much water will it contain if it is filled to a height of 45cm?
- Tank
1080 hectoliters of water were flowed into a cuboid tank whose bottom dimensions are 9 m and 15 m. This filled 40% of the tank's volume. Calculate the tank's depth.
- Triangle from sticks
Bob the boulder has many sticks of lengths 3.5 and 7. He wants to form triangles, each of whose edges consists of exactly one stick. How many non-congruent triangles can be formed with the sticks?
- Grams 44441
How many grams of 70% and 45% acid must be mixed to form 300 grams of 60% acid?
- Horses 20063
Nine horses need a lot of hay for two days. How many horses would the same amount of hay be enough for three days?
- Flowerbed 17183
Six pupils will adjust the flower beds on the school grounds in 2 hours. In how many hours will four pupils change the same flowerbed?
- According 17163
According to the standard, seven tiles can pave the sidewalk in 12 shifts. After three shifts, one worker went on holiday. In how many shifts were the sidewalk paved?
- Alcohol
6l 48% alcohol, how much must we add 52% alcohol to give 50% alcohol?
- Justification 8468
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.
- Everyone 3299
The three brothers had 24 apples. Everyone kept half and divided half between the two brothers. Everyone had as many apples as they had three years ago. How old were they?
- Two pipes
How long will the pool be filled with a double supply pipe if it takes the pool to fill the first pipe by 4 hours long and the second pipe 9 hours longer than both pipes open simultaneously?
- Bus vs. train
The bus started from point A 15 minutes before the train started from the same place. The bus went at an average speed of 45 km/h, train at 54 km/h. To point B train and bus arrived simultaneously. Calculate the train journey time if the train and bus tra
- Two alloys
Two alloys, Y and Z, are each made up of zinc, tin, and copper. In alloy Y, the ratio of zinc to tin is 2:5, and the ratio of copper to tin is 4:3. Find the ratio of copper:zinc:tin in alloy Y.
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