Number Operations and Calculation Methods - Short Problems

What does the sum of these three numbers tell us about their product?

Two of the numbers in a 4×4 magic square have been swapped. Can you work out the sum of these numbers?

Can you work out the sum of the missing digits in this subtraction?

Can you work out the values of J, M and C in this sum?

What is the remainder when 354972 is divided by 7?

Aroon says his age is 50 years, 50 months, 50 weeks and 50 days. What age will he be on his next birthday?

Can you work out how long it will take for John to walk to and from school?

Use 2 straight lines to split the clock face into 3 parts so that the sums of the numbers in each of the parts are equal.

What is the value of c in this subtraction?

Can you find the missing digits in this calculation?

Can you work out the values of the digits in this addition sum?

How many hot dogs did this hot dog lover eat on the first day of her binge?

77 is multiplied by another two-digit number with identical digits. What is the product?

How far apart are the first and last bus stops in this bus route?

How much lighter will £5 worth of 5p's be with these new lighter coins?

Each letter stands for a different digit, and S is non-zero. Which letter has the lowest value?

What is the difference between the sum of the first 2014 odd numbers and the sum of the first 2014 even numbers?

Find the product of these mixed numbers

What could be the scores from five throws of this dice?

How many different bunches of flowers can this class buy for their teacher?

How many solutions can you find to this sum? Each of the different letters stands for a different number.

What symbol should be inserted to make the equation true?

When Jim rolled some dice, the scores had the same product and sum. How many dice did Jim roll?

Can you choose one number from each row and column in this grid to form the largest possibe product?

How many tables of each type does Mark need at his birthday party?

"It would take 20 million years to fill Morecambe Bay from a bath tap". What does this imply is the approximate capacity of Morecambe Bay?

If Clara spends £23 on books and magazines, how many of each does she buy?

The sum of ten distinct positive integers is 100. What is the largest possible value of one of the numbers?

Can you work out how many quizzes have to be played before we have a winner?

Can you work out how many of each kind of pencil this student bought?

You may have met Magic Squares, now meet an Anti-Magic Square. Its properties are slightly different - can you still solve it?

At the beginning and end of Alan's journey, his milometer showed a palindromic number. Can you find his maximum possible average speed?

In this addition each letter stands for a different digit, with S standing for 3. What is the value of YxO?

How many questions did Sarah answer correctly in this multiple choice exam?

What is the sum of these fractions?

Dan and Ann have 9 and 8 coins respectively. What is the smallest number of coins they must swap so they end up with equal amounts of money.

Which digit does X represent in this column sum?

Can you solve this 'KANGAROO' alphanumeric subtraction?

Can you work out what a, b and c are in this sum?

What is the largest number of digits that could be erased from this 1000-digit number, to get a surprising result?

Choose the digits $a$ and $b$ so that this number is divisible by 55.

Can you find the last 5 digits of this sum?

Can you work out the solution to this tricky summation problem?

How many positive two-digit numbers are there whose square and cube both end in the same digit?

What is the last digit in this calculation involving powers?

Three different integers have a sum of 1 and a product of 36 - what are they?