Math practice for 13 year olds - page 218 of 415
Number of problems found: 8281
- Machine production calculation
In the factory, they produced 1,500 products a week on five machines. How many machines do they need to produce 2,000 products a week? - Cube edge doubling
There is a cube with an edge. How long must the cube's edge be in which the volume should be twice the volume of the original cube? - Cardboard box
Peter had a square piece of cardboard whose edge length was an integer number of decimetres. He cut a 3 dm square from each corner and folded up the sides to make a box that held exactly 108 unit cubes (each with a 1 dm edge). Julia cut 2 dm squares from - Nutballs
The dough for nutballs contains, among other things, two basic raw materials: flour and nuts, in a ratio of 2:1. How much flour is needed, and how many nuts are needed for 1 kg of dough if the "other" is 100 g? - Car meeting distance
Mr. Kotek drove from Brno to Prague at 11 a.m. at a speed of 80 km/h. His friend drove from Prague to Brno half an hour later at a speed of 85 km/h. Which of them will be closer to Prague when they meet? The distance between the cities is approximately 21 - Train meeting calculation The train left station A at 10 o'clock. At a speed of 55 km/h. One and a half hours later, opposite him, an express train departed from station B, 360 km from station A, at a speed of 130 km/h. At what time and how far from station A will both trains meet
- Squares ratio
The first square has a side length of a = 6 cm. The second square has a circumference of 6 dm. Calculate the proportions of the perimeters and the proportions of these squares. (Write the ratio in the basic form). (Perimeter = 4 * a, area S = a²) - Consecutive even numbers
The sum of five consecutive even numbers is 40. Find these numbers. - Grandfather grandson age
Today, my grandfather is four times older than his grandson. Two years ago, my grandfather was six years younger than five times his grandson's age. How old is your grandson today? - Cylinder surface calculation
The cylinder has a volume of 2000 liters and a height of 8 dm. What is its surface? - Square circuit ratio
The area of one square is 81 cm², and the area of the other is 225 cm². What is the ratio of their circuits? - Train weight calculation
The railroad workers carried five loads with five heavy trains than ten standard trains. What is the weight of a heavy-duty train if it is 2,200 t heavier than a standard train? - Excavation machine distribution
Excavation work was carried out by nine double-performance machines, which excavated 420 meters of excavation in one day. How many were there if the more powerful machine excavated 420 meters in a week (7 days) and the less powerful engine excavated 280 m - Truck meeting calculation
Two trucks drove at the same time from two places 570 km apart. The first will travel 61 km in an hour, and the second 81.5 km. How long before they meet? - Individual gadens
The size of the five gardens is 13:10:9:8:7. Calculate the areas of individual gardens if you know that the middle area is 720 m². - Maid bed making
Six maids make 200 beds in 2 hours. One maid makes 50 beds alone. Then, they all continue together. How long will it take them to make the rest of the beds together? - Flower pot purchase
The school purchased 80 flower pots with a total value of CZK 2,832. Smaller flower pots were 32 CZK each, larger 40 CZK. How many were there? - Triangle aspect ratio
In a triangle, the aspect ratio is a: b = 2:1, and the aspect ratio is b: c = 3:4. Determine the aspect ratio a: b: c. - A-shaped ladder
An unfolded double ladder (A-shaped rung) is 10 m long. How high will it reach if the painter extends both parts of the ladder and ensures that the two parts of the ladder are 12 m apart on the ground? - Salary increase calculation
Salaries increased by 4:3. How much did wages increase?
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