$2024$is a leap year (as February has $29$ days). Leap years occur in the years that are multiples of $4$, except for those years that are evenly divisible by $100$but not $400$. From the year you were born till now, which years were leap years?

Explore and find out if each statement is always true, sometimes true or never true. You can give examples to support your reasoning.

Sum of two even numbers gives a multiple of $4$

Explore and find out if each statement is always true, sometimes true or never true. You can give examples to support your reasoning.

Sum of two odd numbers gives a multiple of $4$

Find the remainders obtained when each of the following numbers are divided by $10$:

$78, 99, 173, 572, 980, 1111, 2345$

Find the remainders obtained when each of the following numbers are divided by $5$:

$78, 99, 173, 572, 980, 1111, 2345$

Find the remainders obtained when each of the following numbers are divided by $2$:

$78, 99, 173, 572, 980, 1111, 2345$