Physical quantity - math word problems - page 295 of 346

Number of problems found: 6915

Surface area 8
What is the surface area of a cylinder if the diameter is 15m height is 7m?
Savings bank interest
On March 24, we deposited €5,400 into the savings bank. How much interest will we earn until the end of the year, when the savings bank provides 4.2% interest on this type of deposit?
Vinegar acetic acid
Kitchen vinegar is an 8% solution of acetic acid in water. How many liters of acetic acid are needed to produce 275 liters of vinegar?
Loan interest payment
You borrowed €2000 for 3 months. What amount must you pay back if the lender charges a 15% interest rate per annum?
Gear wheel rotation
Two gears mesh together. The larger wheel has 56 teeth, and the smaller wheel has 20 teeth. How many times does the smaller wheel turn if the larger wheel turns 15 times?
Dye water proportion
Pour 9 dl of dye into 100 liters of water. What will be the proportion of dye in the resulting mixture? Express as a percentage.
Paris Bern scale
Find the map's scale, on which a line segment of 15 cm expresses the actual distance of 435 km between Paris and Bern.
Car fuel
Tanya drove 3 1/2 hours and used 1/3 tank of gas. For how long could Tanya drive using a 1/2 tank of gas? Enter your answer as a mixed number in the simplest form in the box.
A scale
A map scale states that every ¼ of an inch represents 20 miles. If two cities are 3½ inches apart, how many miles are actually between the two cities?
Two cities
On a map, 1.5 cm represents 50 miles. If the distance between the two cities on the map is 6 cm, how many miles separate the towns?
Mr. Brown
Mr. Brown invested 15,000 euros in the bank for an annual term deposit. After the first year, he gained 600 euros. What was the annual interest rate of his deposit?
Force meter
We put the statuette on the force meter, which showed a value of 25 N. Then, we placed it on the force meter, completely immersed in the water. The force meter showed a value of 17 N. What is the statuette's volume?
Sea water
One tonne of seawater contains 25 kg of salt. How many tonnes of seawater needs to be evaporated to obtain 1 tonne of salt?
Two monuments
The distance between two historical monuments on a map with a scale of 1:500000 is 48 mm. Find the actual distance between these monuments in km.
Troops - soldiers
Food stocks will last 20 soldiers during the four-day training. If four soldiers become sick, how many days could they extend training?
Triangle construction
Construct a triangle ABC if you know the lengths of its sides c = 5 cm, a = 4 cm and angle ABC is 60°. Measure the length of side b in millimeters. Side length b is: a, 75 mm < b < 81 mm b, 53 mm < b < 59 mm c, 43 mm < b < 49 mm d, 13 mm
Water tank
A 288 hectoliter of water was poured into the tank with dimensions of 12 m and, 6 m bottom, and 2 m depth. What part of the volume of the tank water is occupied? Calculate the surface of the tank wetted with water.
Block weight
The block measuring 20 cm, 10 cm, and 8 cm weighs 80 grams. What is the weight of a block made of the same material, the edges of which are half the length?
Silo capacity
The cylinder-shaped silo (d = 2.8 m and v = 9 m) is 65% filled. How much silage can we store in it?
Journey
Charles and Eva stand in front of his house. Charles went to school south at a speed of 5.4 km/h, and Eva went to the store on a bicycle eastwards at 21.6 km/h. How far apart are they after 10 minutes?

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