Math practice for 13 year olds - page 325 of 435
Number of problems found: 8682
- Unknown 4281
19% of the unknown number is 12, less than 23% of the same number. Specify an unknown number. - Circumference 4278
An inscribed circle is also described as an equilateral triangle with a side length of 8 cm. How many cm is the circumference of the inscribed circle smaller than the circumference of the described circle? - Rectangle diagonals
It is given a rectangle with an area of 24 cm² and a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers. - Hypotenuse
Calculate the length of the hypotenuse of a right triangle if the length of one leg is 4 cm and its area is 16 square centimeters. - Remaining 4262
Owl Wesley read the book for three days. On the first day, she read one-fifth of the pages. On the second day, she read half of the remaining and the last 30 pages on the third day. How many pages did the whole book have? - Determine 4258
Determine the length of the side of the diamond, with its two diagonals being 12 cm and 6 cm long. - Calculate 4254
The prism's base is a diamond with a side length of 6 cm and a height of 4 cm. The height of the prism is 125% greater than the length of the side of the diamond. Calculate the surface area and volume of the prism.
- Take a photo
Four boys are living in a three-story house. Each lives on a different floor. We know this about them: - Josef is a philatelist - Viktor does not live on the top floor and cannot take photographs - Ivan is friends with an amateur photographer from the gro - Circumference 4246
In the ABC triangle, we connected the centers of the sides, creating a smaller triangle with a circumference of 14 centimeters. What is the perimeter of triangle ABC? - Badminton
On Friday, there was a sports day at school, attended by several students. A third of these students participated in a badminton tournament, a quarter of the remaining number threw a cricket ball, two-thirds of the remaining number competed in running and - Diagonals
Given a rhombus ABCD with a diagonal length of 8 cm and 12 cm. Calculate the side length and area of the rhombus. - Granddaughter 4237
Mrs. Helena has an old cell phone with nothing to do but makes phone calls. The cell phone will discharge in 72 hours when fully charged and on the phone. Three hours of calling in a row are enough to discharge a fully charged phone. After the last full c - Completes 4234
The worker completes the work in 12 days, the second in 10 days. The first worker kicks himself for four days, then the second worker comes. How long will it take to dig? - Calculate 4228
A circle k (S, 5cm) is given. Calculate the length of the chord of the circle k if it is 3 cm from the center S. - Carpenter 4227
The carpenter leaned the two-meter kitchen counter against the wall. The lower edge is 0.75m away from the wall. At what height from the ground is the board's top edge resting?
- Completely 4226
The aquarium is shaped like a cube and is partially filled with water. For Peter, a cube with an edge of 8 cm fell into it and completely sank. The water level in the aquarium rose by 1 cm. What is the volume of the whole aquarium? - Approximately 4222
The equator is approximately 40,000 km long. What would be the gap between an imaginary hoop 40001 km long and the ground? Would a mouse crawl under it? - Hypotenuse 4221
Find the set of points formed by the center of gravity of right triangles with the same hypotenuse (build several possible triangles into one image). - Chocolate roll
The cube of a 5 cm chocolate roll weighs 30 g. How many calories will the identical chocolate roller of a prism shape with a length of 0.5 m whose cross-section is an isosceles trapezoid with bases 25 and 13 cm and legs 10 cm contain? You know that 100 g - Intersection 4214
The tractor drove through the crossroads at a speed of 36 km/h. Ten minutes later, a passenger car moved at 54 km/h. How long and at what distance from the intersection will the car run over the tractor?
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