Math practice for 13 year olds - page 157 of 428
Number of problems found: 8558
- Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid if for its volume V and body height v and the base edge, a applies: V = 2.8 m³, v = 2.1 m - Triangular pyramid
The regular triangular pyramid ABCDV has a base edge length of 8 cm and a height of 7 cm. Calculate the pyramid's surface area and volume. - A fraction
I think of a fraction. If we increase its numerator and denominator by one, the value of the fraction increases by one-tenth. What fraction do I think? - The carpenters
The carpenters cut the beam. Half of the cut pieces were 1 meter long, a quarter of the pieces were two meters long, and they cut the remaining 8 meters of the beam into two equal parts. - What was the length of the original beam? - What part of the origi - Vineyard spraying time
They have 3 sprayers for the chemical treatment of the vines. The first would spray the vineyard in 12 hours, the second in 15 hours, and the third in 10 hours. How long would it take to spray the vineyard with all the sprayers combined? - Price reduction percentage
By what percentage was the product's price reduced, when before the price reduction, it cost CZK 5,200 and after the price reduction CZK 3,640? - Parking lot vehicles
Three hundred fifty-four cars arrived at the parking lot in the morning. The passenger was 5X more than the vans. How many cars and vans came to the parking lot in the morning? - Right triangle perimeter
Calculate the perimeter and the area of a right triangle if a = 6 cm, b = 8 cm, c = 10 cm. - Karel money puzzle
Karel said to Juraj: If you had 50 Euros less than twice the money I had with me, you would have 10 Euros more than I did. How many Euros did Karel have? - Latent heat
How much heat is needed to take from 100 g of water at 20°C to cool to the ice at -18°C? Mass heat capacity c (ice) = 21kJ/kg/°C; c (water) = 4.19 KJ/kg/°C and the mass group heat of solidification of water is l = 334kJ/kg - Number series continuation
Continuation of the number series 9,12,18,27 - Cube volume increase
He enlarges the side of the 8 cm long cube by 20%. How much will its volume increase compare to the original cube? - Calculate
Calculate the height to the base of the isosceles triangle ABC if the base length is c = 24cm and the arms have a length b = 13cm. - Pyramid volume surface Calculate the volume V and the surface S of a regular quadrilateral pyramid, the base edge and height of which are the same size as the edge of a cube with a volume V1 = 27m3
- Wagon press weight
They shipped a press from the factory. The wagon with the press weighed 18 tons. The empty wagon is twice as heavy as the press. How many tons does the press weigh? - Larger sphere
The volume of the sphere is 20% larger than the volume of the cone. Find its surface if the volume of the cone is 320 cm³. - The plot
Mr. Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the following dimensions: Length=2x+1; Width=x-1. Determine the formula, in terms of x, that best describes the area of the rectangular plot. He has - Deadline
Five equally skilled masons built half the wall in 14 days. They must build the remaining part in 6 days to catch the planned deadline. How many more masons need to be allocated for construction? - 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 - Cylinder from paper
We roll a cylinder with a height of 30 cm from a rectangle measuring 20 x 30 cm. Find its volume and surface.
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