MathDB

A2

Part of 2018 Malaysia National Olympiad

Problems(3)

OMK 2018 Sulong, Section A Problem 2

Source:

6/21/2021
Let aa and bb be prime numbers such that a+b=10000a+b = 10000. Find the sum of the smallest possible value of aa and the largest possible value of aa.
prime numbersnumber theory
integer has 2018 digits, divisible by 7 2018 Malaysia OMK Intermediate A2

Source:

9/19/2021
An integer has 20182018 digits and is divisible by 77. The first digit is dd, while all the other digits are 22. What is the value of dd?
Digitsnumber theory
max sum, of 10 integers with product 1024 , 2018 Malaysia OMK Juniors A2

Source:

9/19/2021
The product of 1010 integers is 10241024. What is the greatest possible sum of these 1010 integers?
algebrainequalitiesmax