Math practice for 13 year olds - page 68 of 414
Number of problems found: 8262
- Triangle height line
In the right triangle KLM, the hypotenuse l = 9 cm and the perpendicular k = 6 cm. Calculate the size of the height vl and the line tk. - Building shadow height
The school building casts a shadow 16 m long on the plane of the yard, and at the same time, a vertical meter pole casts a shadow 132 cm long. Determine the height of the building. - Glass cocktail level
The cone-shaped glass has a volume of 2.5 dl and a diameter of 13 cm. How much cocktail is left in the glass if the level only reaches half the height of the glass? - Segment ratio reduction
I will reduce a segment of length 16 cm in the ratio 7:8, what will its length be in cm? - Angular velocity
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 face diagonal of u = 20 cm. - Rectangle perimeter ratio
The sides of the rectangle are in the ratio of 5 : 8. Its perimeter measures 208 cm. Determine the area of this rectangle. - Stipend double increase
University students increased their stipend by 20% and then again by 10%. Now he gets 99 euros. What was his original scholarship? - Flag color combinations
How many 4 colored flags can be made from 5 colors so that each flag consists of three different colors? - Motorcycle acceleration time
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? - Number sum puzzle
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? - Seller 3
A seller wanted to sell 100 cheaper and 50 more expensive mobile phones. The price difference between a cheaper and a more expensive mobile is 30 euros. Originally he wanted to sell each cheaper one at a 20% discount and each more expensive one at a 12% d - Class boy girl
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? - Aquarium tube filling
Water flows into an aquarium with dimensions of 14x26x3 m through a tube with a diameter of 5 cm at a speed of 2 m/s. How long does it take for the aquarium to fill with water? - Filip Monika meeting
Philip traveled 15 km from Monica'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 Mon - Product price reduction
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? - Paver square shifts
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? - Brazil flag diamond
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 - Lamp cone shell
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
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