Prime numbers - practice problems - page 9 of 26

Number of problems found: 520

Divisibility feature test
Which of the top ten is not a divisible number of 2520? Use divisibility features to solve
A rope
Paul can cut a rope into equal lengths with no rope left over. The lengths can be 15cm, 18cm, or 25cm. What is the shortest possible length of the rope?
Two-digit number
In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits but in reverse order, we get product 3 478. Find the original number.
Pool track width
What is the smallest width of the pool to be divided without rest into equally wide tracks, either 80cm or 1m, or 120cm?
We bought
We bought 140 fruit, 196 chocolate, and 84 caramel lollipops. How many of the same packages can we prepare from them?
Fabric package
There is less than 50 m of fabric in the package. If we cut only for blouses or only for dresses, we will not have any leftovers. 1.5 m of fabric is used for one blouse and 3.2 m for one dress. Determine the amount of fabric in the package.
Lcm to eliminate y
Identify the least common multiple that would eliminate the y-variable. 6x - 5y = -4 4x + 2y = 28
John Smith
John Smith is reading a 435-page novel. If he reads the same number of pages per day and the number is a prime number greater than 10, how many pages per day will he read?
Jordan
Jordan wants to bring in cookie cakes to share with his 23 classmates for his birthday. His mom is willing to buy up to six cookie cakes, and Jordan must share the cakes equally with his classmates (and himself). Answer the questions to help Jordan decide
Odd prime probability
What is the probability that an odd prime will fall on a dice roll?
Common divisor
All common divisors of headings 90 and 48
Bus departure time
The first bus leaves every 10 minutes, the second every quarter of an hour, and the third every 18 minutes. At noon, all three lines left together from the station U Kachny. At what time did all the lines go again at the same time?
Find unknown number
What is the number between 50 and 55 that is divisible by 2,3,6,9?
Coloured numbers
Mussel wrote four different natural numbers with colored markers: red, blue, green, and yellow. When the red number is divided by blue, it gets the green number is an incomplete proportion, and yellow represents the remainder after this division. When it
Number prime decomposition
Decompose the number of primes and find its digit sum: 180, 232, 460, 240, 365,
Mixer gear meeting
There was a gear in the electric mixer. The drive wheel had 24 teeth. The driven wheel had 36 teeth. When did the same teeth of both wheels meet again?
Sheet metal cutting
The plumbers have to cut sheet metal measuring 220 cm and 308 cm into squares of equal size so that the squares are as large as possible and the sheet metal is used without residue. How many such squares will they cut? Determine the side of this square.
Two hundred
Two hundred ten athletes competed in three athletics races on three fields. One hundred-five athletes competed in the first, 60 in the second, and everyone else in the third. On the individual courts, the athletes were divided into groups. Although compet
The classroom
The classroom is 9 meters long. Its width is smaller and can be passed in equally long steps of 55 CM or 70 CM. Find the width of the classroom.
Bus departure time
Three buses are leaving the bus station. The circuit of the first bus lasts 1 hour, 24 minutes, the second 150 minutes, and the third 2 hours. When will they leave together?

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