Grade - math word problems - page 370 of 953

Number of problems found: 19049

Calculate
Calculate the area of triangle ABC if given by alpha = 49°, beta = 31°, and the height on the c side is 9cm.
Tree breaking height
The 30-meter tree broke. Its top fell 5m from the trunk. At what level did it break?
Seats on carousel
There are 12 seats evenly distributed on the children's carousel in the shape of a circle. How long is the arm of the carousel (connecting the center of the carousel to the seat) if the distance between the two seats is 1.5m?
Gem selection choices
The jeweler selects three gems in the ring. It has rubies, emeralds, and sapphires. How many choices does it have?
Natural number creation
How many natural numbers can you make from the digits contained in the number 4002? No digit may be repeated in the number entry. However, not all digits must be used. Sort the numbers in ascending order of size.
Gas pressure
The mean square velocity of the gas molecules is 1200 m/s. What pressure does this gas exert on the vessel wall when its density is 0.03 kg/m³?
Angle of diagonals
Calculate a rectangle's perimeter and area if its diagonal is 14 cm and the diagonals form an angle of 130°.
Mushrooms
Mr. Mushar collected mushrooms. One-fifth he gave to neighbors, one-third to dry, and divided the remaining mushrooms into three equal parts: himself, son, and daughter. Daughter Dominika got 42. How many mushrooms did he collect in total, and how many mu
Two-digit number
In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits but in reverse order, we get product 3 478. Find the original number.
Book reading ways
Martina borrowed three novels and two travelogues from the library. He will read the travelogues first. How many ways can he read the books?
Top-open tank
The top-open tank resembles a truncated rotating cone, standing on a smaller base. Its volume is 465 m³, and the bases' radii are 4 m and 3 m. Find the tank's depth.
The surface
The surface of a truncated rotating cone with side s = 13 cm is S = 510π cm². Find the radii of the bases when their difference in lengths is 10cm.
The truncated
The truncated rotating cone has bases with radii r1 = 8 cm, r2 = 4 cm, and height v = 5 cm. What is the volume of the cone from which the truncated cone originated?
Three-digit number creation
How many different three-digit numbers divisible by five can we create from the digits 2, 4, and 5? The numerals can be repeated in the created number.
Number printing
The ski organizers have to print the start numbers from 1 to 45. How many times do they use the number 3 when printing?
Snow wall
The boys want to build a defensive wall out of the snow for the ballpark. They want it to be 5 meters long and 1.5 meters high. They can make and transfer 50 cm cubes from snow. How many such cubes must he make to build his wall?
Pool water
How many hectoliters of water can fit in a pool with bottom dimensions of 10 m and 20 m and a depth of 4 m?
We roll
We roll two dice A. - what is the probability that the sum of the falling numbers is at most 4 B. - is at least 10 C. - is divisible by 5?
Square root
Calculate the product of the sum and difference of the numbers of the square root of 5 and the square root of 3 (in this order).
Race circuit
The races run for 5 km. So far, eight circuits have passed. One circuit measures 400m. How many meters have they run, and how many meters do they have to reach the finish line?

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