Fractions + divisibility - practice problems
Number of problems found: 32
- Two pieces 2
Two pieces of length 12/5 m and 23/9 m are cut from a rope of length 13 m. Find the length of the remaining rope. - Diophantus
We know little about this Greek mathematician from Alexandria, except that he lived around the 3rd century A. D. Thanks to an admirer of his, who described his life through an algebraic riddle, we know at least something about his life. Diophantus's youth - 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? - Reminder and quotient
There are given numbers A = 135, B = 315. Find the smallest natural number R greater than one so that the proportions R:A, R:B are with the remainder 1. - Ratio
Alena collected 7.8 kg of blueberries, 2.6 kg of blackberries, and 3.9 kg of cranberries. Express the ratio in the smallest natural numbers in this order. - The balls
You have 108 red and 180 green balls. You have to be grouped into the bags so that the ratio of red to green in each bag is the same. What may the smallest number of balls be in one bag? - Class
When Pythagoras asked how many students attended the school, he said: "Half of the students studying mathematics, 1/4 music, seventh silent, and there are three girls at school." How many students had Pythagoras at school? - Two-seventeenths 82639
Mr. Dolphin and Mr. Shark were skilled fishermen. Once, they caught a total of 70 fish. Five-ninths of the fish Mr. Dolphin caught were trout. Two-seventeenths of the fish Mr. Shark caught were carp. How many fish did Mr. Dolphin catch? - Oranges
The mother divided her three children's oranges in a ratio of 6:5:4. Two children gave 45 oranges. How many oranges were there? - What is 16
What is the sum of three consecutive even integers such that six more than twice the second is 2/3 of the first increased by 3/2 of the third? - Integers 6915
Which even integers are greater than -1 1/4 and less than 7 1/4? The mark is on the number axis. - Reminder and quotient
There are given the number C = 281, D = 201. Find the highest natural number S so that the C:S and D:S are with the remainder of 1. - LCD 2
The least common denominator of 2/5, 1/2, and 3/4 - Prime divisors
Find 2/3 of the sum's ratio and the product of all prime divisors of the number 120. - Expression 66754
Find the largest natural number n for which the value of the expression (37-2n) / 3 equals the natural number. - Infinite decimal
Imagine the infinite decimal number 0.99999999... That is a decimal and her endless series of nines. Determine how much this number is less than the number 1. Thank you in advance. - Sum of AP members
Find the sum of all the numbers between 8 and 258 that are divisible by 5. - Three-digit 69114
How many three-digit numbers have a digit sum of 6? Write the ratio of the number of created even and odd numbers and adjust it to the basic form. - Centipede 4257
Centipede Mirka consists of a head and several articles. Each pair has one pair of legs. When it got cold, she decided to get dressed. Therefore, she put on a sock on her left foot in the third article from the end and then on every other third article. S - Probability 81964
Calculate the probability of the event that you sit in seats 1 to 30 in the cinema at: a) seat marked with a prime number b) seat marked with an even number c) a seat marked with a number divisible by 3 or 4
Do you have homework that you need help solving? Ask a question, and we will try to solve it.