Maths practice for 14 year olds - page 282 of 370
Number of problems found: 7385
- Equilateral 4301
Triangle ABC is equilateral with a side length of 8 cm. Points D, E, and F are the sides AB, BC, and AC midpoints. Calculate the area of triangle DEF. In what ratio is the area of triangle ABC to the area of triangle DEF? - Capacity 4296
The hotel's capacity is, in total, 30 quiet rooms. Double rooms are x. The rest are triples. Express in terms of the maximum number of guests. - Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid. - Originally 4292
The weight of the water container is 2.48 kg. If we pour 75% of the water, the container with water weighs 0.98 kg. Find the weight of the empty container. How much water was originally in the container? - Solution 4284
How many grams of table salt and water do we weigh to prepare 500 g of a 15% solution? - Wooden blocks
Alex cut the wooden block into two parts in one cut. Which body could he not get? - 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? - Together 4273
Jan is five years older than Pavel. Jan's age is 7/6 Dusan's age. All the brothers are 195 years old together. How old is Jan? - 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. - Determine 4258
Determine the length of the side of the diamond, with its two diagonals being 12 cm and 6 cm long. - Circumference 4255
The rectangle has a circumference of 24 cm so that its area is maximum and its length is larger than its width. Find the dimensions of a rectangle. - 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. - 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 - A stone
There is a stone weighing 60 kg on the billet. The distance from the support point to the stone is 20cm. The length of the billet is 1m. Determine the force exerted by the hand at the end of the billet. - 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? - 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).
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