Number Operations and Calculation Methods - Short Problems

A collection of short Stage 3 and 4 problems on number operations and calculation methods



Negative Dice

Stage: 2 and 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?

Minus One Party

Stage: 3 Short Challenge Level: Challenge Level:1

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

Calculation 2000

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

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

Sum Total

Stage: 2 and 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?

Reverse Subtraction

Stage: 3 Short Challenge Level: Challenge Level:1

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

Fly Away

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

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

So Many Sums

Stage: 3 Short Challenge Level: Challenge Level:1

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?

Platinum Puzzle

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Weekly Problem 29 - 2007
What is the approximate total volume of platinum that has ever been produced?

Alternating Sum

Stage: 3 and 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?

Pairing Up

Stage: 2, 3 and 4 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?

Silver Line

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 40 - 2008
A class raises money for charity by placing 10p pieces edge to edge in a 'silver line'. If the line was 25m long, how much money did they make?

Measured Upside Down

Stage: 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?

Mathematical Ages

Stage: 3 Short Challenge Level: Challenge Level:1

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

Bus Route

Stage: 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?

Debasing the Coinage

Stage: 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?

Carry Over

Stage: 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?

Kangaroo Subtraction

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

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

Digit Deletion

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

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?

Colourful Tiles

Stage: 3 Short Challenge Level: Challenge Level:1

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

Alberta's Age

Stage: 2 and 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?

Rolling Along the Trail

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

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

Jam and Egg Sandwich

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

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

Stage: 3 and 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

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

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

Subtracting to 2008

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

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