Maths practice for 12-year-olds - page 321 of 351
Number of problems found: 7010
- Cube 3
How many times will increase the volume of a cube if we double the length of its edge?
- Cube 2
How many times will increase if the surface area of the cube if we triple the length of its edge?
- Cube
How many times increases the surface area of a cube with an edge 13.1 cm if the length of the edge doubles?
- Water pool
What is the water level in the pool-shaped cuboid with bottom dimensions of 25 m and 10 meters? When is 3750hl water in the pool?
- Painter
How many euros will we pay for repainting the room-shaped cuboid with a length of 4.5 meters, a width of 2.5 meters and a height of 3 meters, if for one m² with paint, we pay € 1.5?
- Soil pit
Workers dug a pit cube with an edge of 2.5 meters. How many cars shall remove soil if the car suddenly takes 4 m³ of soil?
- Motion 2
At 10 o'clock started car from place A at speed at 90 km/h, twenty minutes after starting another car from place B at a 60 km/h speed. The distance between places A and B is 120 kilometers. What time and where do they meet?
- Vacation
Parents are piggybacking their children on vacation to their grandmother and grandfather in a city that is 150 kilometers away. They agreed to meet halfway. Parents will travel at 90 km/h, and grandmother and grandfather will travel at 60 km/h. Parents de
- Cars motion
From A point car starts at the speed of 90 km/h. Against it departs from point B at the same time another car at 60 km/h. How long and where do they meet if the distance between A and B is 180 km?
- Three friends
Divide 570 euros among three friends so that the first gets 50 euros less than the second and the third twice more than the first. How many euros will everyone get?
- Infirmary
Two-thirds of the children from the infirmary went on a trip, a seventh went to bathe, and 40 children remained in the gym. How many children were treated in the infirmary?
- Pytagoriade
Two fifth-grader teams compete in math competitions - Mathematical Olympiad and Pytagoriade. Out of 33 students in class 5A, 22 students competed in at least one of the competitions. Students who competed only in the Pytagoriade were twice as many who jus
- Circle - simple
The circumference of a circle is 683 mm. How long in mm is its diameter?
- Tons of coal
The coal hopper has a capacity of 285 liters. How many tons is it? The bulk density of coal is 911 kg/m³.
- Chord 4
I need to calculate the circumference of a circle, and I know the chord length c=22 cm and the distance from the center d=29 cm chord to the circle.
- Five girls
Five girls are traveling by bus. Each holds in each hand two baskets. In each basket are four cats. Each cat has three kittens. Two girls exit the bus. How many legs are on the bus?
- Water lake
The length of the lake water is 8 meters, width 7 meters, and depth 120 centimeters. How many liters of water can fit into the water lake?
- Masons
One mason casts 30.8 meters square in 8 hours. How long casts four masons 178 meters square?
- Examples 1895
Examples of direct ratios from the given report topics: Number of workers Number of products Time per product Number of working hours Amount of earnings
- Rectangle and circle
The rectangle ABCD has side lengths a = 40 mm and b = 30 mm and is circumscribed by a circle k. Calculate approximately how many centimeters a circle is long.
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