Themes, topics - practice problems - page 3 of 151
This page contains thematic word problems. We have about 20 main topics, such as motion problems, mixtures, work problems etc. Please choose a specific topic that interests you from the menu. Examples within a topic usually train similar knowledge. For example, in movement tasks, terms such as distance, speed, and time often occur.Number of problems found: 3018
- Open and short circuit tests
A 4 kVA 200/400 V single phase 50 Hz transformer has the following data on O. C. (open circuit) & S. C. (short circuit) test: O. C. Test: 200 V 0.8 A 70 W (Low Voltage side) S. C. Test: 20 V 10 A 80 W (High Voltage side) Find Full Load efficiency and regu - An airplane 3
An airplane descends at a rate of 2,700 feet per minute. Once the airplane starts its descent, what will be its elevation, in feet, after 3 1/5 minutes? - A lorry
A lorry covered 108km in 1hr 30min. What is the speed in km/h? - Years 3
How long will it take for a given sum of money to triple itself at 20% annual compound interest?
- And - or probability rules
Given P(A)=0.4, P(B)=0.56, and P(A and B)=0.274, find the value of P(A or B), rounding, if necessary. - A biker
A biker traveled from city A to city B via city C with a uniform speed of 52 km/h. He then returned directly to city A with a uniform speed of 89 km/h. Find, in minutes, the total time of his whole journey to two decimal places. City distance A from B is - Logical and
At a football game, 8/15 of the fans wore team T-shirts. Of those wearing team T-shirts, 1/4 also wore team hats. What fraction game wore both a team T-shirt and a team hat? - Ekene and Amina
The probability that Ekene will be alive in 5 years' time is 3/4, and the probability that his wife Amina will be alive in 5 years' time is 2/5. Find the probability that in 5 years' time: a) both of them will be alive b) only Ekene will be alive - Joy deposited
Joy deposited the sum of 50,000 in her bank account. After 5 months, she made another deposit of 125,000 and 6 months a lap before the withdrawal of 12,000 nairas. If the interest rate is 5% per annual, calculate how much she should have in her account.
- Feed rate
The feed rate of a drill is the distance it advances with each revolution. If a drill makes 320 rpm and drills a hole 2.625 inches deep in 1.8 minutes, what is the feed rate? - The bicycle
The bicycle runs 30 mph for 20 minutes. How far it goes? - The temperature 47
The temperature in a garden at midnight was −3 degrees Celsius. By 6 AM, the temperature was −8 degrees Celsius. What is the difference in the temperature? - Water 71
Water was heated to 80°c then allowed to cool at a rate of 6°c per minute. After how long was the temperature 8°C? - Lightning strike
In a thunderstorm, the formula M=t/5.3 gives the approximate distance, M, in miles, from a lightning strike if it takes t second to hear the thunder after seeing the lightning. If you are 5.4 miles away from the lightning flash, how long will it take the
- 2-cycle
2-cycle engines require a mixture of oil and gas to run properly. For every gallon of gas, a certain 2-cycle engine requires 1 1/4 fl oz of oil. How much oil must be added to prepare 3 1/2 gallons of gas to get the proper mixture? - A car miles
A car begins heading along a path at 50 mph. A second car begins an hour later, along the same path traveling at 70 mph. For how long will the first car travel when the second car overtakes it? - Balloon
If a ceiling balloon rises at 120 m (about 400 ft) each minute, what is the ceiling of an overcast deck of stratus clouds 1500 m (about 5000 ft) thick if the balloon disappears into the clouds in 5 minutes? Show your solution. - Konrad
Konrad coaches football. He cycles 3 km to the stadium at an average 12 km/h speed. How long does Konrad take to cycle to the stadium? - The temperature 45
The temperature in a field is 68°F at 4 PM. The temperature decreases by 4°F per hour. When will the temperature be 60°F?
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