Maths practice for 12-year-olds - page 197 of 351

Number of problems found: 7018

A filter
It is a pool with a volume of 3500 liters. The filter filters at 4m cubics per hour. How many minutes would it filter the entire pool?
By six
From digits 1,2,3,4, we create the long integer number 123412341234..., which will have 962 digits. Is this number divisible by 6?
Paint cans
How many paint cans are needed to paint the floor in two rooms measuring 6.8 m x 4.5 m and 6 m x 3.8 m? One can cover 6 m².
Fraction product puzzle
Fraction 2/3 multiplied by such a fraction that the product is equal to 1
Two sets
Suppose Set B contains 69 elements, and the total number of elements in either Set A or Set B is 124. If sets A and B have 29 elements in common, how many elements are contained in set A?
Rectangles
Vladimir likes to draw rectangles. Yesterday, he created all rectangles with sides in centimeters and a circumference of 18 cm. How many rectangles of different dimensions have been drawn?
Two ships
Two ships sailed from Venice - a cargo speed of 10 knots and a ferry speed of 18 knots. When will the ferry catch up with the cargo ship if it sailed 10 hours later?
Irregular pentagon
A rectangle-shaped, 16 x 4 cm strip of paper is folded lengthwise so that the lower right corner is applied to the upper left corner. What area does the pentagon have?
Spruce log weight
Spruce logs with a diameter of 270 mm and a length of 4 m are carefully loaded onto a wagon with a bed width of 2,700 mm and stacked in 9 layers. How much does such a load of spruce wood weigh if its density is 700 kg/m³?
Race car loss
Two race cars passed the finish line at a speed of 216 km/h at a distance of 0.003 s. Express the loss of the second in centimeters.
The ketchup
If 3 1/4 of tomatoes are needed, make one bottle of ketchup. Find the number of tomatoes required to make 4 1/5 bottles.
The wellbore
The wellbore has a tributary of 2 m³ per hour. When there is no tapping, there are a stable 28 liters of water in the well. The pump suction basket is at the bottom of the well. At 14.00, the water was pumped out at a rate of 0.5 liters every second. What
Picture frames
Destiny has to make 24 picture frames. Each frame uses 16 3/8 wood trim. she completed 2/3 on the first day. How many inches of wood trim is needed to complete the remaining frames on the second day?
Rectangles
How many different rectangles can be made from 60 square tiles of 1 m square? Find the dimensions of these rectangles.
Cyclists and walkers
A group of tourists started at 8:00 at a speed of 4 km/h walk. At 10:30, another group started on a bike and caught up with a group of tourists at 10:50. What was the average speed of cyclists?
Kinetic energy
A car traveling at a speed of 25 km/h increased the speed to a) 75 km/h b) 100 km/h when exiting the highway. How many times has its kinetic energy increased?
Hammer fall height
From what height does a hammer weighing 200 kg fall if its initial potential gravity was 6 kJ?
Eight masons
Eight masons will plaster a wall with an area of 1440 m² in 9 days. They work 8 hours a day. How much area will plaster six masons in 4 hours?
Vehicle meeting calculation
The motorcycle left Děčín at an average speed of 40 km/h. At the same time, a passenger car from Prague drove towards him at an average speed of 80 km/h. The distance from Prague to Děčín is about 100 km. How long and at what distance from Děčín will both
Where and when
The truck left Kremnica at 11:00 h at a speed of 60 km/h. At 12:30 h, the passenger car started at an average 80 km/h speed. How many kilometers from Kremnica will the passenger car reach the truck, and when?

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