Math practice for 13 year olds - page 314 of 420
Number of problems found: 8400
- Right triangle eq2
The hypotenuse of a right triangle is 9 cm longer than one leg and 8 cm longer than the other leg. Determine the perimeter and area of the triangle. - Catching up
Peter and Charles live at the same address. Peter will drive to the stadium in 30 minutes and Charles in 40 minutes. If Charles leaves 5 minutes earlier, where will Peter catch up with him? - Oat bags
The cowboy will give the sheriff two bags of oats, and the sheriff will have 2x more bags than the cowboy. If the sheriff gives two bags of oats to the cowboy, they will both have the same. How many bags does each have? - Class arrangements
There are 4 classrooms on the ground floor of the school building, which are numbered 1,2,3,4. First-year students A, B, C, and D will be placed in these classrooms. Write all possible class arrangements and their number. - Orchard trees
Calculate how many trees are in an orchard if you know that 5/12 orchards consist of apple trees, 1/6 plums, and 1/60 walnuts. The remaining 30 trees are pear trees. - Train speed
A train running at 20 m/s passes by an observer in 5 seconds. Another train, 250 m long, runs on the adjacent track in the opposite direction. Find the speed of the second train. - Book profit
How much more expensive is it for the owner to sell a book he bought in an antiquarian book for half the price if he sells it for two-thirds of the original price? - Three colors 2/3
Marek has balls of three colors. Two-thirds of the balls are green, 2/7 are blue, and one ball is yellow. How many balls does Marek have? - Class students
3/4 of the class went skiing. Of those who stayed home, 1/3 fell ill, and the remaining 6 were at a math camp. How many students does the class have? - Volume of an apple
How many apples will fit in a box measuring 20 cm × 50 cm × 25 cm? - Triangle arm
There is an isosceles triangle with a circumference of 36 cm, and the height at the base is 12 cm long. Calculate the length of the arm of a given triangle. - Percent to number
To increase that number by 5 percent, we need to multiply it by: - Triangle perimeter
The area of an equilateral triangle is 81√3 cm². Calculate its circumference. - The pipe
The pipe is 1.5 m long. Its outer diameter is 60 cm, inner diameter is 52 cm. Calculate the pipe's weight if the material's density from which it is made is 2 g/cm³. Please round the results to whole kilograms. - The cast
The cast in the body of a regular quadrilateral pyramid with a base edge 60 cm long and 5 cm high is made of a material with a density of 7.8 g/cm cubic. Calculate its weight. - If we
If we increase the unknown number by 4%, we get 780. Determine the unknown number. - Dog chase
While hunting, the dog sees a hare in the bushes 20 meters ahead. The hare starts running, and the dog starts chasing it simultaneously. A hare runs at a speed of 39 km/h, and a dog at 45 km/h. In how many seconds does the dog catch up with the hare? - Cylinder hole
A cylinder-shaped hole with a diameter of 12 cm is drilled into a block of height 50 cm with a square base with an edge length of 20 cm. The axis of this opening passes through the center of the base of the cuboid. Calculate the volume and surface area of - Ruler case
A cylinder-shaped case is to be made for a ruler with the shape of a prism with a base in the shape of an equilateral triangle with a side length of 3 cm. What must be the smallest inner diameter of the housing? Determine the size to the nearest tenth of - Ice and water
We want to cover a rectangular rink with dimensions of 55 m and 25 m with a 4 cm thick layer of ice. How many liters of water do we need if freezing water increases its volume by 10%?
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