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.

Negative Dice

KS 2 & 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 16 - 2012
If the odd numbers on two dice are made negative, which of the totals cannot be achieved?

Calculation 2000

KS 2 & 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 49 - 2013
What is the value of 2000 + 1999 × 2000?

Sum Total

KS 2 & 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 50 - 2013
Each letter in this sum represents a different digit. How many solutions are there?

Alberta's Age

KS 2 & 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 26 - 2011
Alberta won't reveal her age. Can you work it out from these clues?

Bus Route

KS 2 & 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 17 - 2009
How far apart are the first and last bus stops in this bus route?

Digit Deletion

KS 2 & 3 Short Challenge Level:

Challenge Level:2 Challenge Level:2

Weekly Problem 14 - 2010
What is the largest number of digits that could be erased from this 1000-digit number, to get a surprising result?

Carry Over

KS 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 24 - 2009
Each letter stands for a different digit, and S is non-zero. Which letter has the lowest value?

Minus One Party

KS 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 47 - 2013
What is the value of the given expression?

Pairing Up

KS 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 14 - 2008
The numbers 72, 8, 24, 10, 5, 45, 36, 15 are grouped in pairs so that each pair has the same product. Which number is paired with 10?

Measured Upside Down

KS 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 49 - 2008
Baby can't stand up yet, so we measure her upside down. Can you use our measurements to work out how much Baby has grown in her first year?

Colourful Tiles

KS 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 21 - 2011
How many ways can you paint this wall with four different colours?

Mathematical Ages

KS 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 16 - 2009
Arrange these three famous mathematicians in order with the shortest-lived first.

Down and Along

KS 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 50 - 2015
Can you work out the values of J, M and C in this sum?

Reverse Subtraction

KS 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 27 - 2006
What is the value of c in this subtraction?

Debasing the Coinage

KS 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 18 - 2009
How much lighter will £5 worth of 5p's be with these new lighter coins?

So Many Sums

KS 3 Short Challenge Level:

Challenge Level:2 Challenge Level:2

Weekly Problem 20 - 2007
In this addition each letter stands for a different digit, with S standing for 3. What is the value of YxO?

Jam and Egg Sandwich

KS 3 Short Challenge Level:

Challenge Level:2 Challenge Level:2

Weekly Problem 33 - 2011
How many solutions can you find to this sum? Each of the different letters stands for a different number.

Magic Error

KS 3 & 4 Short Challenge Level:

Challenge Level:1

Weekly Problem 12 - 2014
Two of the numbers in a 4x4 magic square have been swapped. Can you work out the sum of these numbers?

Operational Decision

KS 3 & 4 Short Challenge Level:

Challenge Level:1

Weekly Problem 44 - 2014
What symbol should be inserted to make the equation true?

Subtracting to 2008

KS 3 & 4 Short Challenge Level:

Challenge Level:1

Weekly Problem 2 - 2015
Can you work out the sum of the missing digits in this subtraction?

Filling Morecambe Bay

KS 3 & 4 Short Challenge Level:

Challenge Level:1

Weekly Problem 19 - 2016
"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?

Fly Away

KS 3 & 4 Short Challenge Level:

Challenge Level:1

Weekly problem 50 - 2006
Can you work out the values of the digits in this addition sum?

Rolling Along the Trail

KS 3 & 4 Short Challenge Level:

Challenge Level:1

Weekly Problem 32 - 2011
What could be the scores from five throws of this dice?

Kangaroo Subtraction

KS 3 & 4 Short Challenge Level:

Challenge Level:2 Challenge Level:2

Weekly Problem 2 - 2010
Can you solve this 'KANGAROO' alphanumeric subtraction?

Alternating Sum

KS 4 Short Challenge Level:

Challenge Level:1

Weekly Problem 1 - 2008
Given that the number 2008 is the correct answer to a sum, can you find n?