Number Operations and Calculation Methods - Short Problems
Fly Away
Can you work out the values of the digits in this addition sum?
Hot Dogs
How many hot dogs did this hot dog lover eat on the first day of her binge?
Subtracting to 2008
Can you work out the sum of the missing digits in this subtraction?
50, 50, 50 and 50
Aroon says his age is 50 years, 50 months, 50 weeks and 50 days. What age will he be on his next birthday?
Identical Digit Multiplication
77 is multiplied by another two-digit number with identical digits. What is the product?
In Sum-mary
What does the sum of these three numbers tell us about their product?
Bus Route
How far apart are the first and last bus stops in this bus route?
Debasing the Coinage
How much lighter will £5 worth of 5p's be with these new lighter coins?
Down and Along
Can you work out the values of J, M and C in this sum?
Split Clock Face
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.
Carry Over
Each letter stands for a different digit, and S is non-zero. Which letter has the lowest value?
2014 Even Numbers
What is the difference between the sum of the first 2014 odd numbers and the sum of the first 2014 even numbers?
Missing Digits
Can you find the missing digits in this calculation?
Magic Error
Two of the numbers in a 4x4 magic square have been swapped. Can you work out the sum of these numbers?
Walk or Run?
Can you work out how long it will take for John to walk to and from school?
Palindromic Milometer
At the beginning and end of Alan's journey, his milometer showed a palindromic number. Can you find his maximum possible average speed?
Operational Decision
What symbol should be inserted to make the equation true?
Sum of Ten
The sum of ten distinct positive integers is 100. What is the largest possible value of one of the numbers?
Kangaroo Subtraction
Can you solve this 'KANGAROO' alphanumeric subtraction?
Quiz Question
Can you work out how many quizzes have to be played before we have a winner?
So Many Sums
In this addition each letter stands for a different digit, with S standing for 3. What is the value of YxO?
Product and Sum
When Jim rolled some dice, the scores had the same product and sum. How many dice did Jim roll?
Bookshop
If Clara spends £23 on books and magazines, how many of each does she buy?
Multiple Choice
How many questions did Sarah answer correctly in this multiple choice exam?
Latin Multiplication
Can you choose one number from each row and column in this grid to form the largest possibe product?
Whole Numbers Only
Can you work out how many of each kind of pencil this student bought?
Rolling Along the Trail
What could be the scores from five throws of this dice?
Roses and Carnations
How many different bunches of flowers can this class buy for their teacher?
Anti-magic Square
You may have met Magic Squares, now meet an Anti-Magic Square. Its properties are slightly different - can you still solve it?
Jam and Egg Sandwich
How many solutions can you find to this sum? Each of the different letters stands for a different number.
Birthday Tables
How many tables of each type does Mark need at his birthday party?
Currency Exchange
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.
Filling Morecambe Bay
"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?
Sum One Special
Three different integers have a sum of 1 and a product of 36 - what are they?
Digit Deletion
What is the largest number of digits that could be erased from this 1000-digit number, to get a surprising result?
Divisible by 55
Choose the digits $a$ and $b$ so that this number is divisible by 55.
Squares and Cubes
How many positive two-digit numbers are there whose square and cube both end in the same digit?
Last Digit
What is the last digit in this calculation involving powers?
Comparing Totals
Can you work out the solution to this tricky summation problem?
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