Math practice for 13 year olds - page 65 of 422
Number of problems found: 8421
- Difference 82461
Determine the difference in angular velocities of the clock hands. [rad/s] ω of clock hands =? ω minute hands =? ω second hands =? - Diagonal of a cube
Calculate the volume of a cube with a wall diagonal of u = 20 cm. - Rectangle 82456
The sides of the rectangle are in the ratio of 5 : 8. Its perimeter measures 208 cm. Determine the area of this rectangle. - Scholarship 82450
University students increased their stipend by 20% and then again by 10%. Now he gets 99 euros. What was his original scholarship? - Different 82447
How many 4 colored flags can be made from 5 colors so that each flag consists of three different colors? - Motorcyclist 82445
Motorcyclist Arnošt begins to move on his motorcycle in a uniformly accelerated motion with an acceleration of 1.6 m/s². At what time will it reach a speed of 50 km/h? What distance will it travel at this time? - Subtract 82442
I think of three numbers. When I add them, I get 15. When I subtract the third number from the sum of the first two numbers, I get 10. When I subtract the second number from the sum of the first and third numbers, I get 8. What number do I think? - Children 82437
If 3 boys were added to the eighth grade, 50% of the class would be boys. If, on the other hand, 3 girls were added, they would make up 7/12 classes. How many children are there in the class? - Dimensions 82434
Water flows into an aquarium with dimensions of 14x26x3m through a tube with a diameter of 5 cm at a speed of 2m/s. How long does it take for the aquarium to fill with water? - Grandmother's 82432
Filip traveled 15 km from Monika's house to his grandmother's village. Monika can visit him. They meet at the point where the bikes arrive. They both left the house at 9:00. At what time did they meet when Philip was walking at a speed of 19 km/h and Moni - Increased 82424
If I reduce the price of the product by 40%, this price will be 60% lower than if I increased the price of this product by 720 euros. What was the original price of the product? - Remaining 82419
Seven pavers would pave the square in 15 shifts. After five shifts, two pavers fell ill. How long will it take for the remaining pavers to finish the job? - Circular segment
A circular segment has an area of 6.04 cm², the central omega angle is 15 degrees, what is the radius? - Dimensions 82414
The flag of Brazil has a yellow diamond on a green field with a blue circle inside. If we had a flag with dimensions of 70 cm x 50 cm, the rhombus would have a side 35 cm long and a height of 30 cm. Indicate with fractions in basic form what part of the f - Calculate 82409
The lamp shade should be formed by the shell of a cone with a base diameter of 48 cm and a side of 32 cm. Calculate how much material will be needed to make it, assuming 8% waste - Kilometers 82408
The longest Brazilian river, the Amazon, is ten times longer than the two Czech rivers, Vltava and Berounka. The ratio of the lengths of the Vltava and Berounka is 9:5. At the same time, the length ratio of the Vltava and Morava rivers is 5:4. How many ki - Expedition 82407
Food for 56 sailors would last 32 days. How long did the food supplies last the expedition if 14 castaways were taken on board after 12 days of sailing? - Woodcutters 82406
Fifteen loggers would take 12 days to clear a large field. How many days did this work require, if 5 more woodcutters were transferred to them after 4 days of work? - Complete 82405
8 masons build a house in 630 days. How many masons must we add after 150 days to complete the whole house in 320 days? - Reassigned 82404
Five grinders grind 120 products in 12 hours. After 4 hours of work, another 11 grinders were reassigned to the workshop. Will he complete the entire job in 6 hours?
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