Prime numbers - practice problems - page 7 of 23
Number of problems found: 457
- Lcm = 22 + gcd
The least common multiple of two numbers is 22 more than their greatest common divisor. Find these numbers. - Dividing nuts
How many nuts do you have when dividing them between 2, 3, 4, 5, 6, 8, and 10 children? (smallest possible number) - 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? - Steps
Peter makes steps long 70 cm, John 45 cm long. After how many meters do their footsteps meet? - Unknown integer
Find the smallest integer: Divided by 2, the remainder is 1. divided by 3. The remainder is 2. divided by 4. The remainder is 3. Divided by eight, the remainder is 7. Divided by 9, the remainder is 8. - Plums
In the bowl are plums. How many would be there if we could divide it equally among 8, 10, and 11 children? - Rectangles 70304
How many rectangles with side lengths expressed in natural numbers have an area of 96 cm²? - Electric 36771
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? - Three-digit 4791
How many three-digit numbers divisible by four can we create from the numbers 1, 2; 3; and five if we cannot repeat the digits in the number? - Bouquets 3220
No flower will remain if the gardener binds bouquets of 3, 4, and 6 flowers. If she ties a bouquet of 7 flowers, two are missing. How many flowers does a gardener have? - Fractions
Sort fractions z1 = (20)/(9); z2 = (10)/(21); z3 = (15)/(14) by their size. The result writes as three serial numbers 1,2,3. - A number 5
A number is divisible by 24, 25, and 120 if it is increased by 20. Find the number. - GCD&LCM of three
GCD of three numbers is 30 and LCM is 900. As two the are 60 and 150, find the number. - Smallest z9
Find the smallest positive numbers a and b for which 7a³ = 11b⁵ - Mangoes
Chris has 12 mangoes, and Jay has 18 mangoes. Each of them will share the mangoes with their friends. What's the greatest number of mangoes each of their friends gets if Chris and Jay will give the same number of mangoes? - The missing digit
Complete the missing digit in the number 3 ∗ 43 to form a number divisible by three. If there are multiple options, list them all. (The omitted digit is marked with the symbol ∗. ) Answers must be justified! - Banknotes
How many different ways can the cashier pay out € 310 if he uses only 50 and 20 euro banknotes? Find all solutions. - School
Headteacher thinks about whether the distribution of pupils in a race in groups of 4,5,6,9 or 10. How many pupils must have at least school possible options? - Dining tables
In the dining room are tables with four chairs, six chairs, and eight chairs. How many diners must be at least to occupy all tables (chairs) and diners are more than 50? - Cuboid
The volume of the cuboid is 245 cm³. Each cuboid edge length can be expressed by an integer greater than 1 cm. What is the surface area of the cuboid?
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