Place Value Stage 3 - Short Problems

A collection of short Stage 3 problems on place value, integers, ordering and rounding.



Weekly Problem 44 - 2011

Challenge Level: Challenge Level:1

You have already used Magic Squares, now meet an Anti-Magic Square. Its properties are slightly different, but can you still solve it...

Weekly Problem 50 - 2011

Short Challenge Level: Challenge Level:1

Repeat a pattern of numbers to form a larger number. Can you find the sum of all the digits?

Weekly Problem 53 - 2011

Challenge Level: Challenge Level:1

Find a number between 100 and 999 that has its middle digit equal to the sum of the other two digits. Can you find all possibilities?

Weekly Problem 17 - 2008

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

If p is a positive integer and q is a negative integer, which of these expressions is the greatest?

Weekly Problem 21 - 2008

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

The sum of each column and row in this grid give the totals as shown. What number goes in the starred square?

Weekly Problem 27 - 2008

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

In the diagram in the question, how many squares, of any size, are there whose entries add up to an even total?

Weekly Problem 47 - 2008

Stage: 3 Challenge Level: Challenge Level:1

Can you solve this magic square?

Weekly Problem 4 - 2009

Stage: 3 Short Challenge Level: Challenge Level:1

Bilbo and Frodo use a rhyme as they count their own cherry stones - where will they finish if they count all stones together?

Weekly Problem 7 - 2009

Stage: 3 Short Challenge Level: Challenge Level:1

Tony and Tina can't work out which of them owes what to the other. Can you?

Weekly Problem 8 - 2009

Stage: 3 Short Challenge Level: Challenge Level:1

How many ways can Gill, the baby, arrange the letters in her name?

Weekly Problem 10 - 2009

Stage: 3 Short Challenge Level: Challenge Level:1

In how many ways can you give change for a ten pence piece?

Weekly Problem 16 - 2009

Stage: 3 Short Challenge Level: Challenge Level:1

Arrange these three famous mathematicians in order with the shortest-lived first.

Weekly Problem 17 - 2009

Stage: 3 Short Challenge Level: Challenge Level:1

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

Weekly Problem 25 - 2009

Stage: 3 Short Challenge Level: Challenge Level:1

Jack does a 20-question quiz. How many questions didn't he attempt?

Weekly Problem 32 - 2009

Stage: 3 Short Challenge Level: Challenge Level:1

I have a max/min thermometer in my greenhouse. What were the maximum and minimum temperatures recorded when I looked at it on Wednesday evening?

Weekly Problem 52 - 2009

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

Gar the Magician plays a card trick on his friends Kan and Roo. Can you work out his trick and find out the sum on Kan's cards?

Weekly Problem 11 - 2010

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

Can you DISCOVER the smallest solution to this word problem...

Weekly Problem 14 - 2010

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

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

Weekly Problem 24 - 2010

Stage: 3 Short Challenge Level: Challenge Level:1

Can you find a number that is half way between these two fractions?

Weekly Problem 38 - 2010

Stage: 3 Short Challenge Level: Challenge Level:1

The product of four different positive integers is 100. What is the sum of these four integers?

Weekly Problem 26 - 2011

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

Alberta won't reveal her age. Can you work it out from these clues?

Weekly Problem 29 - 2011

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

From only the page numbers on one sheet of newspaper, can you work out how many sheets there are altogether?

Weekly Problem 31 - 2011

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

Can you find a number and its double using the digits $1$ to $9$ only once each?