# Place Value Stage 3 - Short Problems

### Weekly Problem 44 - 2011

##### Challenge Level:

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:

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:

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:

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:

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:

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:

Can you solve this magic square?

### Weekly Problem 4 - 2009

##### Stage: 3 Short Challenge Level:

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:

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:

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

### Weekly Problem 10 - 2009

##### Stage: 3 Short Challenge Level:

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

### Weekly Problem 16 - 2009

##### Stage: 3 Short Challenge Level:

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

### Weekly Problem 17 - 2009

##### Stage: 3 Short Challenge Level:

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

### Weekly Problem 25 - 2009

##### Stage: 3 Short Challenge Level:

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

### Weekly Problem 32 - 2009

##### Stage: 3 Short Challenge Level:

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:

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:

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

### Weekly Problem 14 - 2010

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

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:

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

### Weekly Problem 38 - 2010

##### Stage: 3 Short Challenge Level:

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:

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:

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:

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