Math practice for 13 year olds - page 340 of 413
Number of problems found: 8260
- Mesh usage
We use 540 m of mesh, of which 20% are for connecting corners. How much mesh did we use to join the corners? - Salary increase
Ms. Merry's salary increased by 15%, which was 83 euros. What should you pay before the increase? - Tmp workers
Three temporary workers cleaned 60 m of the walkway in 5 hours. How many meters of the walkway were cleared by seven volunteers for eight hours? - Three piles
We divide 100 kg of sugar into three piles. The first pile is small. If we add 2 kg of sugar to the second, it would have 25% more sugar than the first pile. If we add 3 kg of sugar to the third pile, it would have 20% more sugar than the second pile. How - Cakes
Grandmother baked cakes. Half of it was poppy, a quarter with plum jam, and 16 cheesecakes. How many cakes did she bake in total? - Lamp cone
Calculate the surface of a lampshade shaped like a rotary truncated cone with a base diameter of 32 cm and 12 cm and a height of 24 cm. - Gravel - cone
The mound of gravel has a regular circular cone shape with a height of 3.3 meters and a base circumference of 18.85 meters. How many cubic meters of gravel are in a pile? Calculate the weight of gravel if its density is p = 640 kg/cubic m. - Octagonal mat
The octagonal mat is formed from a square plate with a side of 40 cm so that every corner cuts the isosceles triangle with a leg of 3.6 cm. What is the area of one mat? - Angles of a triangle
In triangle ABC, the angle beta is 15° greater than the angle alpha. The remaining angle is 30° greater than the sum of the angles alpha and beta. Calculate the angles of a triangle. - Three figures - numbers
The sum of three numbers, if each is 10% larger than the previous one, is 662. Determine the figures. - Bottles
Mrs. Violet brewed 15 l of raspberry juice. She poured it into 17 bottles. Some were 3/4 liter and someone liter. How many bottles were of these two types? - System of equations
Solve a system of equations: x + 4y = -1 y = -1 - System of equations
Solve a system of equations: x + y = 4 x-3y = -6 - System of equations Solve a system of equations: x + y = -1 x + 5y = 3
- Roses
In a large bed of roses, one-sixth were white, half were red, one-quarter were yellow, and six were pink. How many roses were in the flower bed? - Prism
The base of a vertical triangular prism is a right triangle with legs 4.5 cm and 6 cm long. What is the surface of the prism if its volume is 54 cubic centimeters? - Ships
1. The Greek ship leaves at 6 and carries coffee. 2. The middle ship has a black chimney. 3. The English ship leaves at nine. 4. The French ship is to the left of the ship that carries coffee and has a blue chimney. 5. To the right of the ship carrying co - Truncated cone
A truncated cone has bases with 40 cm and 10 cm radiuses and a height of 25 cm. Calculate its surface area and volume. - Shell of cylinder
Calculate the area of the shell of the 1.6 m height cylinder with a base radius of 0.4 m. - Radius and height
Calculate the volume of the cylinder: r = 5 cm, h = 9 cm
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