Number Play

What is the product of any integer and its additive inverse if the integer is $0$?

What is the face value of $7$ in $7,432$?

A number divisible by $10$ must also be divisible by:

What is the sum of the first two odd numbers?

If $a=3$ and $b=2$, what is the value of $a^b - b^a$?

In the number $5A2$, what is the smallest value of $A$ such that the number is divisible by 6?

What is the value of $x$ if $x = (-2) \times (-2) \times (-2) \times (-2)$?

In the number $A52B$, $A$ and $B$ are digits. If the number is divisible by $4$ and $9$, and $A$ is twice of $B$, what is the value of $A$?

Find the value of $n$ if $1 + 2 + 3 + ... + n = 210$.

The sum of the digits of a $2$-digit number is $9$. If $27$ is added to the number, the digits are reversed. Find the number.

What is the parity of the number of days in a non-leap year ($365$)?

The parity of $100 + 200 + 301$ is:

Which of the following is the parity of $9^2$?

If you double an odd number, the result is:

If $x$ is an even integer and $y$ is an odd integer, determine the parity of the expression $xy + x + y$.

If $k$ is an odd number, what is the parity of $k^2 - k$?

What is the parity of $1 + 3 + 5 + 7 + 9 + 11$?

If the sum of two integers is odd, what is the parity of their product?

Consider a sequence of 100 integers where the first is odd and every subsequent number has the opposite parity of the one before it. What is the parity of the 100th number?

If $a$ and $b$ are integers and $ab$ is even, which of the following must be true about their parity?

In a magic square, the sum of numbers in every row is $S$. What is the sum of numbers in the two diagonals combined if the center number is $C$?

In a $2 \times 2$ calendar grid, the difference between the sum of the right column and the sum of the left column is:

In a $3 \times 3$ calendar grid, what is the sum of the middle row if the center number is 11?

If the sum of two diagonally opposite corners in a $3 \times 3$ calendar grid is 24, what is the center number?

If a $3 \times 3$ magic square has a magic constant of 12, what is the value of the center cell?

In a $10 \times 10$ grid, if you move 5 steps down from the number 7, what number do you reach?

In a $3 \times 3$ grid of consecutive numbers, if the sum of the first and last number is 26, what is the middle number?

If the magic constant of a $3 \times 3$ magic square is $63$, what is the value of the number in the center of the square?

In a $3 \times 3$ magic square, if the sum of the central row is $x$, and the sum of the central column is $y$, then which of the following is true?

Consider a $3 \times 3$ magic square where the numbers are $2, 4, 6, 8, 10, 12, 14, 16, 18$. What is the magic sum?

What is the sum of the first five Virahāṅka–Fibonacci numbers ($1, 1, 2, 3, 5$)?

Which number follows $1, 1, 2$?

If $F_n = 3$, what is $F_{n+2}$ if the sequence is $1, 1, 2, 3, 5, 8, \dots$?

In the sequence $1, 1, 2, 3, 5, 8, 13$, what is the sum of the last two terms shown?

What is the sum of the first $10$ terms of the sequence if $F_{12} = 144$?

Which digit is in the ones place of the $15^{th}$ term (610)?

If $F_n$ is the sequence, find the value of $2 \times F_5 + F_4$.

In the Fibonacci sequence, $F_{n+2} = F_{n+1} + F_{n}$. What is the value of $F_{0}$ if we follow the rule backwards from $F_{2}=1$ and $F_{1}=1$?

Which Fibonacci number is equal to its own index?

If $F_{n}$ is the $n^{th}$ Fibonacci number, solve for $x$: $x = F_{8} - F_{6}$.

If $7A$ is a multiple of $5$ and $A$ is an even digit, what is the value of $A$?

If $A \times 0 = 0$, how many possible single-digit values can $A$ have?

If the number $x2$ is divisible by $4$, what is the smallest possible non-zero digit for $x$?

In the addition $22 + AA = 55$, find the value of digit $A$.

If $1x5$ is a multiple of $9$, what is the value of $x$?

If $N$ divided by $5$ leaves a remainder of $3$, what could be the last digit of $N$?

Find the value of $A$ in the addition $2A + A1 = 56$.

A number $n = 41x$ is divisible by $4$. If $x$ is also a multiple of $3$, find the value of $x$.

If $10A + B - (10B + A) = 45$, where $A$ and $B$ are digits, find the value of $A - B$.

If $9A + B7 = 153$, find the value of $A \times B$.