Fractions - 7th grade (12y) - math problems

Number of problems found: 340

Answers
After the history test, Michaella discovered that the ratio of her correct and incorrect answers is 5: 3. How many correct answers did Michaella have in the test, if she had 6 incorrect answers?
Borrowing bicycle
Jakub lent a bicycle to friends who wanted to ride it. For a three-hour bike ride, Jakub received 2 chocolates. Yup. If you wanted a bike for 2 hours, you had to give Jakub 12 candies. Peter gave Jakub 1 chocolate and 3 candies. How long can Peter ride Ja
Ratio of counts
There are 15 boys and 13 girls in the class. What are the ratio of boys and girls?
A jewelry
A jewelry store has 20 grams of gold. If a pair of earrings need 1/4 gram of gold, how many grams are not used?
A bucket
A bucket has 4 liters of water in it when it is 2/5 full. How much can it hold?
Pizza palace
Josh is at Enzo's pizza palace. He can sit at a table with 5 of his friends or at a different table with seven of his friends. The same size pizza is shared equally among the people at each table. At which table should Josh sit to get more pizza? (write a
Divide in ratio
Line segment AB 12 cm long divide in a ratio of 5: 3. How long are the individual parts?
Library
New books were purchased for the library. Five-eighths were professional books, one-fifth were encyclopedias, and 231 books were dictionaries. How many professional books were there?
Spending
Peter spends 1/5 of his earnings on his rent and he saves 2/7. What fraction of his earnings is left?
The tourist
The tourist walked a quarter of the way on the first day, a third of the rest on the second day, and 20 km on the last day. How many km did he walk in three days?
Square sides
If we enlarge the side of the square by a third, its circumference will be 20 cm larger than the original. What is the side of the square?
Simplest form
Find the simplest form of the following expression: 3 to the 2nd power - 1/4 to the 2nd power
Job applicants
Job applicants: three-fourths of applicants had experience for a position. The number that did not have prior experience was 36. How many people applied for the job?
Magic bag
Each time the prince crossed the bridge, the number of tolars in the magic bag doubled. But then the devil always conjured 300 tolars for him. When this happened for the third time, the prince had twice as much as he had in the beginning. How many tolars
Five combers
Five combers harvest 12 rows of strawberries in 4 hours. How many rows of strawberries will two combers harvest in 10 hours?
Lookout tower
Calculate the height of a lookout tower forming a shadow of 36 m if at the same time a column 2.5 m high has a shadow of 1.5 m.
Iron pole
The iron pole is in the ground 2/5 of its length, partly above the ground 1/3 is yellow, and the unpainted section is 6 m long. How long is the entire column?
Ducats
The king divided the ducats to his three sons in a ratio of 2: 5: 4. How many ducats the king divided them if the youngest received 260 ducats, which was the least of all sons.
Tourist route
How long is the tourist route when tourists crossed four-sevenths of the way on foot, crossed the bus twice less than on foot and passed the last 14 kilometers by boat.
Mixing 5
Carlos mixed 4/15 of chocolate syrup with 1/2 of milk. Determine the reasonable estimate of the total amount of liquid