Place Value, Integers, Ordering and Rounding Stage 3 - Short Problems

This is part of our collection of Short Problems.

You may also be interested in our longer problems on Place Value, Integers, Ordering and Rounding - Stage 3.

Printable worksheets containing selections of these problems are available here:

Stage 3 ★	Sheet 1	Solutions
	Sheet 2	Solutions

Negative Dice

KS 2 & 3 Short Challenge Level:

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

Alberta's Age

KS 2 & 3 Short Challenge Level:

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

Cibara Numerals

KS 3 Short Challenge Level:

Weekly problem 47 - 2006
Cibara numerals are the same shape as Arabic numerals, but are used in the opposite order. Working in Cibara numerals, what is the answer to 837 + 742?

Itchy's Fleas

KS 3 Short Challenge Level:

Weekly Problem 32 - 2017
Itchy has a million fleas. His anti-flea leaves no more than 1% of the original fleas after use. What is the least number of fleas that the shampoo will remove?

Loose Change

KS 3 Short Challenge Level:

Weekly Problem 10 - 2009
In how many ways can you give change for a ten pence piece?

Sum One Special

KS 3 Short Challenge Level:

Weekly Problem 1 - 2007
Three integers have a sum of 1 and a product of 36 - what are they?

Reverse Ages

KS 3 Short Challenge Level:

When is the next time that Brian's age will be the reverse of his father's age?

Mathematical Ages

KS 3 Short Challenge Level:

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

Quiz Questions

KS 3 Short Challenge Level:

Weekly Problem 25 - 2009
Jack does a 20-question quiz. How many questions didn't he attempt?

Pros and Cons

KS 3 Short Challenge Level:

Weekly Problem 17 - 2008
If p is a positive integer and q is a negative integer, which of these expressions is the greatest?

Central Sum

KS 3 Short Challenge Level:

Weekly Problem 53 - 2011
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?

Highs and Lows

KS 3 Short Challenge Level:

Weekly Problem 32 - 2009
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?

Tick Tock

KS 3 Short Challenge Level:

Weekly Problem 10 - 2006
Tick's watch is slow and Tock's watch is fast. How long is it before their watches differ by an hour?

Double with 1-9

KS 3 Short Challenge Level:

Weekly Problem 31 - 2011
Can you find a number and its double using the digits $1$ to $9$ only once each?

Different Magic Square

KS 3 Short Challenge Level:

Weekly Problem 47 - 2008
Can you solve this magic square?

Missing 9s

KS 3 Short Challenge Level:

Sara makes a list of the whole numbers that do not contain any 9s. What is the 300th number on her list?

Paying the Bill

KS 3 & 4 Short Challenge Level:

Weekly Problem 44 - 2007
Gill and I went to a restaurant for lunch to celebrate her birthday....We agreed to split the total cost equally. How much did I owe Gill?

Mini Kakuro

KS 3 & 4 Short Challenge Level:

Weekly Problem 21 - 2008
The sum of each column and row in this grid give the totals as shown. What number goes in the starred square?

Even Squares

KS 3 & 4 Short Challenge Level:

Weekly Problem 27 - 2008
In the diagram in the question, how many squares, of any size, are there whose entries add up to an even total?