Maths practice for 12-year-olds - page 189 of 351

Number of problems found: 7018

Triangle branch length
The right triangle has an area of 225 cm². One of its legs is twice the length of the other. Find the lengths of its legs.
Reducing
Reducing the unknown number by 427, we get 65% of its value. What is an unknown number?
Class student formula
There are x girls and nine boys in the class. Write a formula for the number y of all students in the class. Express the number of girls from the formula.
Two rectangular boxes
Two rectangular boxes with dimensions of 5 cm, 8 cm, 10 cm, and second of 5 cm, 12 cm, and 1 dm will be replaced by a single cube box of the same cubic volume. Calculate its surface.
Ant food transport
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?
Cube edge calculation
What is the edge size of a cube with an area of 37.5 m²?
Pool sidewalk tiles
The rectangular pool has dimensions of 10.5 m and 8 m. There is a 1 m wide trail around it. How many m² of tiles are needed to pave the sidewalk?
Family step retrace
The family went on a trip to a ruin 6 km away. The father had a step length of 0.75 m, the mother of 0.6 m, and little Eve 50 cm. They went out on the same step. How many times did their steps retrace before reaching their destination?
Pool water calculation
How much water is in a cylinder-shaped pool with a radius of 2m, which is 1.5 m deep if it is filled 10 cm below the edge rounded to one decimal place
Cup container calculation
I poured ten full cups with a radius of 5 cm and a height of 10 cm into a container with a volume of 8 liters. How many liters are in the container?
Seat fabric calculation
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)
Roller coverage area
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.
In Brezno
In Brezno at an intersection, an orientation board is placed with distances of individual villages from the given intersection. Trnava 242 km Bratislava 47 km (distance is meant from the previous town, i.e. from Trnava) Malacky 10 km (distance is meant fr
Cylinder volume comparison
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)
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?
Classmate seating arrangements
Classmates Annie, Bea, Ella, and Dana can sit next to each other on the bus. What and how many ways can they sit down?
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

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