Themes, topics - practice problems - page 9 of 167

Number of problems found: 3336

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?
One evening 2
One evening, the temperature in Miami was 28°C. During that same evening in Anchorage, it was 32°C cooler than it was in Miami. What was the temperature in Anchorage?
A chemist 2
A chemist has two alloys of bronze, one that is 12% tin and 88% copper and a second that is 10% tin and 90% copper. If these two alloys are melted and thoroughly mixed together, between what two values are the percent of tin in the mixture?

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