Fractions + reason - practice problems - page 2 of 11
Number of problems found: 212
- Three glasses
Three glasses of different colors have different volumes. Red 1.5 liter is filled from 2/5, blue 3/4 liter is filled from 1/3, and the third green 1.2 liter is empty. Pour green glass 1/4 of the contents from the red glass and 2/5 of the contents from the
- Divers
20-member group of divers carries the air for 15 hours of diving. 4 members of the expedition were sick or weren't coming. How many hours is sufficient air to other divers?
- Transferred 80359
There were 10 apples in the bowl. There were 35 apples in the bucket. Ivan transferred 15 apples from the bucket to the bowl. Then Zora took 4 apples from the bowl. Mom took 2/3 of the remaining apples in the bowl for the pie. How many apples are left in
- Produced 7037
Beetles grown on leaves from 40 mulberry trees can produce 40 kg of cocoons yearly. 100 m of silk is produced from this amount. How much silk can be produced from cocoons grown on the leaves of 200 mulberry trees?
- Borrowing bicycle
Jakub lent a bicycle to friends who wanted to ride it. For a three-hour bike ride, Jakub received two chocolates. Yup. If you wanted a bike for 2 hours, you had to give Jakub 12 candies. Peter gave Jakub 1 chocolate and three candies. How long can Peter r
- A farmer's heritage
A farmer died, leaving his 17 horses to his three sons. When his sons opened up the testament and read: My eldest son should get 1/2 (half) of the total horses; My middle son should be given 1/3rd (one-third) of the total horses; My youngest son should be
- Achievement 66164
The test consisted of 50 questions, each with one possible correct answer. The test result is given by the sum of the correct answers, a maximum of 100 points. The criterion for admission was the achievement of 50 points. The study applicant answered 36 q
- Wednesday 59483
The eighth graders took part in the planting of saplings in the forest for four days. On Monday, they planted a quarter of all the saplings they were supposed to plant. They planted a third of what they had left from Monday on Tuesday. On Wednesday, half
- 7th grade pupils
Pupils research which winter sport their classmates is most popular. They found that 2/5 of classmates would most like to play hockey, skate preferred 2/9 pupils, 3/10 students prefer skiing, and 1/15 of classmates don't like any winter sport. What propor
- Youth track
Youth track from Hronská Dúbrava to Banská Štiavnica, which announced cancellation attracted considerable media attention and public opposition, has cost 6.3 euro per capita and revenue 13 cents per capita. Calculate the size of subsidies to a trip group
- Rajendra
Rajendra, a farmer, had two sons and two daughters. He decided to divide his property among his sons and daughters. So, he wrote a "WILL" about the distribution of his property. According to his "WILL," he desired to give 3/5 of the property to his sons i
- Diophantus
We know little about this Greek mathematician from Alexandria, except that he lived around the 3rd century A.D. Thanks to an admirer who described his life through an algebraic riddle, we know at least something about it. Diophantus's youth lasted 1/6 of
- Originally 71464
The father originally wanted to divide the financial amount between his sons in the ratio of 7:6. However, he then split it at 6:5 (in the same order). One of the sons got angry that he should have received 120 euros more. How many euros did each son rece
- Mathematics 6522
There are more than 20 but less than 40 students in the class. A third of the pupils wrote the mathematics test with a one, a sixth with a two, and a ninth with a three. Nobody got a four. How many students in the class wrote the test on a five?
- Family party
Anna has 5 €, Anezka has 4,60 €, and for all the money, they want to buy desserts for a family party. They decide between cakes and a pinwheel: The pinwheel is € 0.40 more expensive than the cake, and the cakes can be bought for all the money by a third m
- Tournament 5463
A reward of 1200 CZK is prepared for the 4 best champions in the chess tournament. It will be divided so that the second gets half of the first, the third half of the second's reward, and the fourth half of the third. How many CZK will each person receive
- The farmer
The farmer brought potatoes to the market. In the first hour, he sold two-fifths of the potatoes brought in. He sold five-sixths of the remaining potatoes in the second hour, and in the third hour, he sold the last 40 kg of potatoes. 1. Express a fraction
- Pupil age
I am a primary school pupil, and I spent 1/4 of my age on parents' exercise with children, 1/3 on drawing, and 1/6 on flute. I did not have a ring for the first three years of my life and never went to two rings at once. How old am I?
- Athletic club
All athletic club boys lined up by size. In front of Peter was one-eighth of the total. Right behind Peter stood his brother Radek and behind Radek, another five-sixths of the total number of boys. Mark the unknown total number of athletic club boys x. 1,
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