Basic operations and concepts - math word problems - page 284 of 321
Number of problems found: 6415
- Scale of voltmeter
Which scale division (scale has 100 divisions) must the voltmeter hand point at a measuring range of 300V if we want to measure a voltage of 100V? - Kilometers in the city
If the city is far from the city and is 15 kilometers long, and the scale of the map is 1:300000, what is the distance on the map? - An architect 2
An architect is designing a house. He wants the bedroom to be 8 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume of the bedroom. Sol - Cleaners 81056
Four cleaners will clean the hotel in 15 hours. How long will they clean if, after 8 hours, one gets injured and leaves? - Surface of a cube
The cube's edge, the volume of which is 58.3% of its surface, is: a) 3.5cm b) 4.5cm c) 2.5cm d) 1.5cm - Cone-shaped 8170
How many cone-shaped cones will we have to take to fill 20 l of creams (to the brim) if the cone has an inner base diameter of 6 cm and a height of 8 cm. Make a drawing, and write the answer. - Two gears
The gearbox will use a large gear to turn a smaller gear. The large gear will make 75 revolutions per minute, while the smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM - Compound Interest
If you deposit $6000 in an account paying 6.5% annual interest compounded quarterly, how long will it take for the account to have $12600? - Compound interest 4
Peter placed 3600 dollars in an account with an annual interest rate of 9%. How much will be in the account after 25 years, to the nearest cent? - Acids
64% acid is made from the same acid of two different concentrations. The amount of weaker acid to the stronger acid is in ratio 2:1. What was the concentration of the weaker acid if the stronger had 98% concentration? - Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid. - Six-digit primes
Find all six-digit prime numbers that contain each one of digits 1,2,4,5,7, and 8 just once. How many are there? - Engine power
Calculate the engine power of a truck moving at a constant speed of v= 30 km/h on a road with a 5% gradient when the weight of the truck with the load m= 5000 kg! - Supply 3464
Hay stock is enough for four horses for 60 days. How long would this supply last for ten horses? - Cylinder's 83130
Calculate the cylinder's volume if you know that the ratio of the cylinder's height to the base's radius is 3:2 and the height is 15 dm. - Cube-shaped 81931
A ball with a diameter of 10 cm is in a cube-shaped box with an edge of 10 cm. What percentage of the box does the ball fill? - Percentage 39373
A sphere is placed inside the 10 cm cube to touch all the cube's walls. What percentage of the volume of a cube makes up the volume of a sphere? - Nicolas
Nicolas and his father can repair one desk in 1/3 hour. How many desks can they repair in 3 hours? - Sphere radius
We reduce the radius of the sphere by 1/3 of the original radius. How much percent does the volume and surface of the sphere change? - Cube surface area
The cube's surface was originally 216 centimeters square. It has shrunk from 216 to 54 centimeters square. Calculate the percent change in the edge of the cube.
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