Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Number Operations and Calculation Methods - Short Problems

This is part of our collection of Short Problems.

You may also be interested in our longer problems on Number Operations and Calculation Methods.

Printable worksheets containing selections of these problems are available here.

### Debasing the Coinage

### Down and Along

### Split Clock Face

### Carry Over

### 2014 Even Numbers

### Missing Digits

### Magic Error

### Walk or Run?

### Fly Away

### Hot Dogs

### Subtracting to 2008

### 50, 50, 50 and 50

### Identical Digit Multiplication

### In Sum-mary

### Bus Route

### Anti-magic Square

### Jam and Egg Sandwich

### Birthday Tables

### Currency Exchange

### Filling Morecambe Bay

### Palindromic Milometer

### Operational Decision

### Sum of Ten

### Kangaroo Subtraction

### Quiz Question

### So Many Sums

### Product and Sum

### Bookshop

### Multiple Choice

### Latin Multiplication

### Whole Numbers Only

### Rolling Along the Trail

### Roses and Carnations

### Comparing Totals

### Sum One Special

### Digit Deletion

### Divisible by 55

### Squares and Cubes

### Last Digit

Or search by topic

This is part of our collection of Short Problems.

You may also be interested in our longer problems on Number Operations and Calculation Methods.

Printable worksheets containing selections of these problems are available here.

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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.

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

Can you find the missing digits in this calculation?

Age 11 to 14

ShortChallenge Level

Two of the numbers in a 4x4 magic square have been swapped. Can you work out the sum of these numbers?

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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.

Age 11 to 14

ShortChallenge Level

"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?

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

What symbol should be inserted to make the equation true?

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

Can you solve this 'KANGAROO' alphanumeric subtraction?

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

What is the last digit in this calculation involving powers?