Math practice for 13 year olds - page 310 of 422

Number of problems found: 8424

Influenza 4707
There were 36 new cases of influenza at the school during the study week, which was 40 percent less than in the previous week. How many new flu cases have been reported in the last week?
Dimensions 4703
The block has dimensions l = 5 cm, w = 4 cm, and h = 3 cm. Calculate the length of its body diagonal.
Toy cars
Paul has a collection of toy cars. He wanted to regroup them. But when he divided them into groups of three, four, six, and eight, he was always one left. Only when he formed groups of seven did he divide all toy cars. How many toy cars are in the collect
Dimensions 4700
The toolbox has internal dimensions, a length of 1.5 meters, a width of 80 cm, and a height of 6 dm. Calculate the longest rod we can hide in this box.
Two aircraft
From the airport will start simultaneously two planes, whose flight tracks are perpendicular to each other. The first flying speed of 680 km/h and the second 840 km/h. Calculate how far the aircraft will fly for half an hour.
Three-digit code
The five cards with the numbers 1, 2, 3, 4, and 5 put together all three-digit odd numbers. How many are there?
Diagonals of diamond
Find the area and circumference of the diamond ABCD with 15m and 11m diagonals.
Diamond 4695
The handle is made of alloy. The alloy is in a ratio of 6 parts gold, three parts lead, and eight parts diamond. The handle weighs 24 kg. How much weight are gold and lead?
Cube diagonal
Calculate the length of the body diagonal in a cube of 15 cm.
Workers
A Group of workers washed half of the windows of the building in two hours. How long will it take half the workers to wash all the windows of the building?
Circular 4690
The cone shell with a base radius of 20 cm and a height of 50 cm unfolds into a circular cutout. How big is the center angle of this cutout?
Calculate 4689
The area of the rotating cone shell is 240 cm², and the area of its base is 160 cm². Calculate the volume of this cone.
Inequality 4687
Which x satisfies the inequality 5
Overtake 4682
The cyclist leaves Prague at a speed of 24 km/h. An hour later, a car drives behind him at 60km/h. How far from Prague, and how long will the car overtake the cyclist?
Job task
After two hours and 40 minutes, the job is finished. Compared to last year, we were 40 minutes faster. What is the percentage increase in our performance?
Young Cyclists
Charlie and Peter will attend the Young Cyclists Meeting today. Peter is still unable to start, so Charlie goes first alone. Peter follows him for 20 minutes. How long does it take to reach Charlie? Charlie travels at an average speed of 15km/h, and Peter
Percentage 4667
The customer must buy goods worth CZK 3,800 without VAT and receive those worth CZK 3,340 without VAT. What percentage is the discount?
Three workers
Three workers were paid for their work. The first earned € 50, the second € 100, and the third € 60. For further work, we should receive € 735 together. How do you divide that amount to be distributed in the same proportion as the first job?
Approximately 4662
Peter bought an LPG car. A liter of LPG-liquefied petroleum gas costs EUR 0.50/liter, and the price of gasoline is EUR 1.30/liter. Peter's used car cost 2950 Euros. How many kilometers does he have to drive to fully recover the car's value by going cheapl
Parallelogram
Side a of a parallelogram is twice longer than side b. Its circumference is 78 dm. Calculate the length of the sides of a parallelogram.

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