Maths practice for 12-year-olds - page 268 of 355

Number of problems found: 7081

Perimeter to area
Calculate the area of a circle with a perimeter of 15 meters.
Alloy composition
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?
Common divisor
A. Find the largest natural number by which the numbers 54 and 72 can be divided (120, 60, and 42) B. Find the smallest natural number that can be divided by each of the numbers 36 and 48 (24,18 and 16)
Phone ringtones
The phone has a variety of ringtones. 1/3 are loaded from the manufacturer. 2/5 ringtones are melodies. Composed by the user in special programs and the remaining 12 ringtones are digital recordings. How many ringtones are there in total on the phone?
Cyclist overtaking
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?
Prism cubes
How many 2 cm prism cubes do we need to make a 6 cm cube out of them?
Reward division
Peter and Adam were rewarded with 300 CZK for cleaning the yard. They awarded the reward in a 3:2 ratio. How many CZK did each get?
Sugar production
Nine tons of sugar beet are needed to produce 1 ton of sugar. In 1996, 4,500,000 tons of sugar beet were harvested in our country. How many tons of sugar were obtained from it?
Pole length
The pole's base is 1/3 to the bottom of the pond, 1/4 is submerged, and one meter protrudes above the surface. How long does the stake have to be cut?
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?
Blades
1st blade 2,5 m, 2nd blade. .1.75 m. How many of the same long pieces of these two blades can do the biggest? How long is one piece?
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
Discount percentage
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?
Rainfall
On Thursday, 1 cm of rainfall fell. How many liters of water fell into a rectangular garden with 22 m x 35 m dimensions?
LPG recovery
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
Ratio simplification
Express the ratio in the basic form. a) 1cm: 1m b) 3 ha: 30 a c) 50 kg: 1 t d) 2.5 m: 10 cm
Cleaning windows
The cleaning company has to wash all the school windows. On the first day, one-sixth of the windows are washed. The next day, three more windows are washed than the first day, and the remaining 18 windows are washed on the third day. Calculate how many wi
Larger pipe
Two supply pipes open into the pool, and the smaller pipe fills the pool in 40 hours. The empty pool will be filled in 16 hours if we open both supply pipes. How long would it take to fill if only the second, larger inlet pipe was opened?
Candies
There are red, blue and green candies in bad. Red to green is in the 6:11 ratio, and blue to red is in the 7:5 ratio. In what proportion are blue to green candies?

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