Math practice for 13 year olds - page 218 of 425
Number of problems found: 8482
- Calculation 18413
What is the length of the cathetus of an isosceles right triangle with an 8 cm long hypotenuse? Make calculations and procedures.
- Fifteen 18403
Fifteen ants bring 10 g of food to the anthill in 1 hour. In how many hours will five ants carry 1 kg of food?
- The largest
We cut the largest possible cylinder from a 20 cm cube. What is the volume of this cylinder?
- What 18373
What is the edge size of a cube with an area of 37.5 m²?
- The surface area
How much percent will the surface area of a 4x5x8 cm block increase if the length of the shortest edge is increased by 2 cm?
- Concentric 18343
Construct three concentric circles k, l, m with center at point S and with radii 2cm, 3cm, and 40mm
- Trapezoid 18313
Find the points A1 B1 symmetric along the y-axis to the points A [-4,0] and B [-1,4]. Calculate the perimeter of the trapezoid AB B1 A1.
- Cylinder-shaped 18283
How much fabric will be needed to cover a cylinder-shaped seat with a diameter of 0.8 m, 0.6 m high (rounded up to whole square meters)
- Diameter 18273
The roller on the tennis court has a diameter of 60 cm and is 1.2 m wide. What area will the roller cover in one turn? They rounded to one decimal place.
- Half-height 18253
The cylinder has a volume of 200 liters. What is the volume in liters of a second cylinder twice as wide and half-height? (π = 3.14)
- Produced 18213
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?
- Original 18203
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 square cardboard. The length of the edges was an integer in decimetres. He cut four squares with a side of 3 dm from the corners and made a box out of it, which fit precisely 108 cubes with an edge one dm long. Julia cut four squares with a side
- 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 100g?
- Ducats
The king divided the ducats into his three sons in a ratio of 2:5:4. How many ducats did the king divide them if the youngest received 260 ducats, the least of all sons?
- Approximately 18133
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
- Departed 18123
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 18083
The sum of five consecutive even numbers is 40. Find these numbers.
- Concentrate 18043
Fruit juice concentrate is sold in two-liter bottles. It is diluted with water in a ratio of 1:9. a) determine how to prepare 5 liters of fruit drink from concentrate and water. b) How many liters of fruit drink can be prepared from a full bottle of fruit
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