Number Play

What is the HCF of $20, 25$ and $30$?

Every multiple of a number is greater than or equal to:

If a number is divisible by $2$ and $5$, then it must be divisible by:

Which of the following is the first multiple of $13$?

Three traffic lights change after every $48$ seconds, $72$ seconds, and $108$ seconds respectively. If they all change simultaneously at $7:00$ AM, at what time will they next change simultaneously again?

What is the sum of the distinct prime factors of the number $210$?

If the HCF of two numbers is $16$, which of the following numbers cannot be their LCM?

What is the smallest number having $4$ different prime factors?

Find the HCF of $108, 288,$ and $360$.

If a number is divisible by $9$, then it is always divisible by:

If the middle number of a Supercell is $100$, what is the total sum?

Which of these numbers is divisible by $4$?

What is the difference between the smallest prime and the smallest composite number?

If the sum of numbers in a Supercell is $99$, find the central number.

In a $3 \times 3$ supercell of a 10-column grid, if the top-right number is $35$, what is the sum of the middle row?

In a calendar $3 \times 3$ supercell, what is the difference between the bottom-middle and the top-middle number?

In a $2 \times 2$ supercell of a 10-column grid, if the diagonal sum is $43$, what is the smallest number?

What is the HCF of $24, 60,$ and $90$?

A $3$-digit number $A7B$ is divisible by $9$, and $A-B = 2$. What is the number?

If $1 \times 2 \times 3 \times ... \times 10$ is divided by $100$, what is the remainder?

On a standard number line, the number $8$ is to the ________ of the number $12$.

What is the missing number: $50, 45, 40, \dots, 30$?

If you move $3$ units right from $1$ and then $2$ units right again, what is the final position?

On the number line, which number is halfway between $0$ and $100$?

How many units do you need to move to the right to go from $-25$ to the smallest positive integer?

What is the coordinate of the point $4$ units to the right of the midpoint of $-8$ and $0$?

If the pattern is $x, x-3, x-6, \dots$ and the fourth term is $-5$, what is the value of $x$?

If point $P$ is at $-12$ and point $Q$ is at $x$, and the midpoint is at $-2$, find the value of $|x|$.

A sequence is $-50, -43, -36, \dots$. What is the first term in this sequence that is greater than $20$?

Find the sum of all integers between $-5$ and $5$ that are also multiples of $3$.

Which of the following is the Roman numeral for $100$?

What is the successor of the largest $3$-digit number?

How many $100$s make $1,000$?

Identify the number: $7$ thousands, $0$ hundreds, $5$ tens, and $2$ ones.

What is the $LCM$ of $4$ and $14$?

How many multiples of $7$ are there between $1$ and $50$?

Find the value of $A$ in the puzzle: $BA \times A = 57A$.

The product of three consecutive numbers is always divisible by:

If $4x2$ is a $3$-digit number divisible by $6$, how many possible values can $x$ take?

The difference between the LCM and HCF of $20, 25,$ and $30$ is:

What digit should be at the end of $71\dots$ to make it a 3-digit palindrome?

Find the palindrome: $400 + 4$.

What is the result when you add $50$ and its reverse $05$?

Is $12321$ a palindromic pattern?

What is the sum of the first two $3$-digit palindromes?

Find the middle digit of the smallest $3$-digit palindrome whose digits sum to $5$.

Which of these palindromes is divisible by $11$?

Find the sum of the first four 2-digit palindromes.

A palindrome $P$ is multiplied by 11 to give another palindrome. If $P=121$, what is the result?

How many palindromes exist between 10 and 1,000?

If you subtract the smallest 4-digit number from the largest 4-digit number formed by the same four digits and get the same four digits back, you have found:

In which year did D.R. Kaprekar discover the constant 6174?

Which of these numbers is the 'Magic Number' that we always reach in the 4-digit routine?

What is the ascending order of digits for 6174?

Which of the following is a key property of the Kaprekar constant $6174$?

What is the result of $8532 - 2358$?

In a Kaprekar routine step, if the result is $999$, what will be the next subtraction result?

Which of the following is $6174$ in expanded form?

If a 4-digit number $n$ consists of digits $x, x, x, y$ where $x \neq y$, how many steps (at most) will it take to reach $6174$?

What is the sum of the digits of the number obtained by the first Kaprekar subtraction of $3210$?

How many full weeks are in $31$ days?

What time is it $4$ hours before 2:00 PM?

How many years are in a century?

How many days are there in the month of September?

In a certain month, exactly three of the Sundays fall on even-numbered dates. What day of the week is the $15^{th}$ of this month?

If the $15^{th}$ of a month is the $3^{rd}$ Saturday, what was the date of the $1^{st}$ Sunday of that month?

If a clock's hour hand is at $2$ and the minute hand is at $12$, what is the angle between them?

If Jan $1^{\text{st}}$, $2000$ was a Saturday, what day of the week was Jan $1^{\text{st}}$, $1900$?

If a clock's minute hand is at $6$ and the hour hand is between $3$ and $4$, and the angle between them is $75^{\circ}$, what is the exact time?

How many hours are there in the month of February in a leap year?

What is the remainder when $15$ is divided by $5$?

What is the value of $100 + 200 + 300$?

What is the successor of $0$?

What is $7 \times 6$?

Calculate the square of $15$ mentally.

What is the result of $88 \div 4 + 11$?

What is the HCF of $17$ and $19$?

Simplify: $(24 \div 3) \times 2 + (18 \div 6) \times 4$.

If $x$ is the smallest prime number and $y$ is the smallest composite number, what is their LCM?

Determine the value of $75 \times 75$ mentally using the pattern for numbers ending in $5$.

What is the prime factorization of $6$?

Which of these numbers is divisible by $9$?

In the pattern $11 \times 11 = 121$ and $111 \times 111 = 12321$, what will be $1111 \times 1111$?

How many multiples of $3$ are there between $1$ and $10$?

How many terms are there in the sequence of even numbers from $2$ to $100$?

Identify the next number in the sequence: $10, 20, 35, 55, \dots$

Using the rule $n^3 + 1$, what is the value when $n = 4$?

The sum of three prime numbers is $100$. If one of them exceeds another by $36$, then one of the numbers is:

Find the greatest $5$-digit number which when divided by $12, 16, 18, 24,$ and $32$ leaves a remainder of $5$ in each case.

Which of the following is the prime factorization of $1260$?

What is the next number if the current number is $64$?

Is the number $0$ usually used as a starting point for the Collatz Conjecture?

What is the next number for $n = 14$?

If $n = 1$, $3n + 1$ equals...

Is the number $1$ considered a 'stopping point' in the Collatz Conjecture sequence?

What is the next number for $n = 42$?

If $n = 6$, the sequence is $6, 3, 10, 5, 16, 8, 4, 2, 1$. What is the 5th term in this sequence?

Which of these odd numbers $n$ results in the next term being $100$?

If you reach 16 in a sequence, how many more steps will it take to reach 1?

Starting at $n = 3$, what is the largest number in the sequence?

Estimate the difference $492 - 108$ by rounding each to the nearest $100$.

Round $12,345$ to the nearest $1,000$.

What is $995$ rounded to the nearest $10$?

Estimate $81 - 29$ by rounding each to the nearest $10$.

Estimate $5,678 \div 192$ by rounding the dividend to the nearest thousand and the divisor to the nearest hundred.

Round $67,890$ to the nearest thousand.

Estimate the product of $47 \times 93$ by rounding off each number to the nearest ten.

Estimate $1,291 \times 5,920$ by rounding each to its greatest place.

A number rounds to $6,000$ when rounded to the nearest thousand. If the sum of its digits is $24$, which of the following could be the number?

Estimate the sum $2,13,972 + 4,89,123 + 1,02,456$ to the nearest lakh.

Which number is a factor of every even number?

If you subtract an even number from another even number, the result is:

Which of these is the largest factor of $20$?

What is the smallest number that is a multiple of both $4$ and $5$?

In a game called 'Last One Loses', there are $15$ buttons on a table. Two players take turns removing either $1, 2,$ or $3$ buttons from the pile. The player who is forced to take the very last button loses the game. How many buttons should the first player remove on their first turn to guarantee a win, regardless of the other player's moves?

What is the smallest prime number which is also an even number?

If a number is divisible by 9, then it must also be divisible by:

In the 'Product Game', you multiply digits of a number. If the product of digits of a $2$-digit number is $24$ and the sum of its digits is $10$, what is the larger of the two numbers that fit this description?

A game involves finding 'Lychrel numbers'. If you take $195$, reverse it to get $591$, and add them, you get $786$. If you repeat this once more, what is the new sum?

If the number $5x2$ is divisible by $6$, and $x$ is the largest possible digit, what is $x$?