Basic operations and concepts - math word problems - page 243 of 332
Number of problems found: 6633
- Sale of a bill of exchange
A businessman bought a bill of exchange 6 months before its maturity. After deducting interest at an annual rate of 10%, he paid €19,000 for it. How much interest was deducted from the face value of the bill? - Wands - Wizard
The number promised the wizard Rhododendron that she would teach him a lot about numbers, but he must first solve her riddle: My two magic wands measure 63 cm together. One is 7 cm longer than the other. How long are the wands? - In the dairy 2
In a dairy they have two lines for filling milk cartons. The more modern line is one and a half times faster than the old line. When both lines work simultaneously, they fill the usual daily amount of milk cartons 5 hours earlier than when only the old li - Deceleration of car
The car has a speed of 60 km/h and, after a 100 m journey speed of 40 km/h. What is the deceleration of a car if we assume that its movement is constantly slowed down? - Water temperature cooling
The water in the container has a temperature of t1 = 80◦C, the temperature around the container is t2 = 15◦C. The dependence of temperature t on time τ (in minutes) can be expressed approximately by the formula: t = t2 +(t1 −t2)·e^(−0.05·τ) Calculate the - Train speed calculation
The train ran the distance between stations at a 90 km/h speed in 4 hours. What speed can it take if the journey takes an hour longer according to the new timetable? - Two accounts
Two bank accounts earn interest at 2% and 3% per year respectively. The total annual interest income is $1,900. If the interest rates were swapped between the accounts, the yield would be $200 higher. What are the amounts in each account? - MO Z9-I-3 2018
In our town there are three cinemas, which are named according to the compass points. About their opening hours it is known that: • every day at least one cinema is open, • if the southern cinema is open, then the northern cinema is not open, • the northe - Clubhouse
A clubhouse contained only chairs and tables. Each chair had 4 legs and each table had 3 legs. A group of scouts arrived; each sat on a chair, 2 chairs were left empty, and the total number of legs in the room (people + furniture) was 101. How many chairs - The bulbs
The bulbs are connected serially to two bulbs and one resistor. Each bulb has a resistivity of 100 ohms, and the resistor has a resistivity of 60 ohms. The voltage source in the circuit is 24 volts. Do you know what voltage to measure on individual applia - Exponential warm
Suppose that a body with temperature T1 is placed in surroundings with temperature T0 different from that of T1. The body will either cool or warm to temperature T(t) after time t, in minutes, where T(t)=T0 + (T1-T0)e^(-kt). If we placed jello salad at 30 - Nut mixture
A kilogram of one kind of nut is sold for 130 CZK. A kilogram of another type of nuts for 250 CZK. In what proportion are the two kinds of nuts mixed in a mixture whose price is CZK 220 per kilogram? - Pedestrian and cyclist
A Pedestrian out with a speed of 4 km/hour from the city center and after 1 hour and 10 minutes came after him cyclist at a speed of 18 km/h. In how many minutes does he catch up with the pedestrian? - Copiers
The new copier is copying a folder of papers 5 minutes faster than the old one. The operator used a new one, but it was out of toner, and the exchange took 5 minutes at that time, copied on the old one. The whole work was done in 9 min. How long would the - Vehicle speed ratio
The speeds of two motor vehicles are in the ratio 7:4. How many kilometers will the slower vehicle travel simultaneously, if the faster vehicle travels 52.5 km? - Solution mixtures
We have 1 liter of 80% solution. Every hour, pour 1 dl of the solution, add 1 dl of water (a 0% solution), and mix. What percent solution will we have after two mixings? - Penny free fall
A man drops a penny from the top of a 500 m tall building. After t seconds, the penny has fallen a distance of s meters, where s(t)=500-5t². Determine the average velocity between 1 s and 5 s. - Bank interest percentage
Kate had €660 in the bank, for which she received €33 in interest at the end of the year. What was the interest rate in percent? - Bank interest rate
Martina invested 1,300 euros in the bank, and after a year, the bank credited her with an interest of 26.65 euros. What was this bank's annual interest rate? - Phone number
Ivan's phone number ends with a four-digit number: When we subtract the first from the fourth digit of this four-digit number, we get the same number as when we subtract the second from the third digit. If we write the four-digit number from the back and
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