Math practice for 13 year olds - page 158 of 428
Number of problems found: 8555
- 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. - Cleaning agent ratio
According to the instructions, you need to add two and a half scoops of ecological cleaning agent to 10 liters of water. The measuring cup is a cap with a volume of 50 ml. Determine the ratio in which this agent is mixed with water. - Dodecagon
Find the area of a regular dodecagon (n=12) if the radius of the circumscribed circle is 5 cm. - Squat exercise
Mišo will start regular morning exercise on the first of January. Once he gets up, he squats regularly. Every next day he does twice as many squats as the previous day. On which day will he do sixteen times as many squats as he did on the third day? - The volleyball ball
The volleyball ball can have a circumference of at least 650 max 750 mm after inflation. What air volume can this ball hold if its circumference is the average of the minimum and maximum inflation of the ball? - Wood material
Calculate the weight of a block measuring 15 cm, 7.5 cm, and 10 cm made of: a) oak wood (ρ = 800 kg/m³), b) spruce wood (ρ = 550 kg/m³). - Girl pupil percentage
Of the total number of pupils in the class, 65% are boys. How many percent of the girls are? - Brigade work distribution
Jeníček and Ferek brigade together. They divided the work in a ratio of 4:6. Ferko was paid 24 euros. How many euros did they earn together? - Circular track
The circular running track has a radius of 50 m. How many laps does a runner have to do to run 5 km? - Cube water height
We poured 12 l of water into a cube with an edge length of 30 cm. How high is the water level? - Rectangle circumference area
Calculate the circumference and area of a rectangle with one side 6 cm long and a diagonal 10 cm long. - Tourist route
Tourists missed 15% of the entire route on the first day and a fifth of the rest on the second day. They still had 34km to go. How many kilometers did they travel the next day? - The solar
The solar heating tank has the shape of a rotating cylinder. When the tank is in a horizontal position, the water in the tank wets 4/5 of each tank base. If we place the tank in a vertical position, the water in the tank will reach up to 1.2 m. Calculate - Hypotenuse size
Calculate the size of the hypotenuse in a triangle if its perpendiculars are 8 cm and 8.4 cm long.
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