Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Place Value, Integers, Ordering and Rounding - Short Problems

This is part of our collection of Short Problems.

You may also be interested in our longer problems onĀ Place Value, Integers, Ordering and Rounding.

Printable worksheets containing selections of these problems are available here.

### Mathematical Ages

### Quiz Questions

### Mini Kakuro

### Highs and Lows

### Reverse Ages

### Central Sum

### Negative Dice

### Rough Rectangle

### Debt Recovery

### Loose Change

### Digital Book

### Missing 9s

### Even Squares

### Tick Tock

### Double with 1 to 9

### Paying the Bill

### Digit Sum Puzzle

### Repeat Product

### Sum Up

### Pros and Cons

### Equal Length Powers

### Alberta's Age

### Digital Counter

### Digit Sum

### How Many Gorillas?

### Number Crunch

Or search by topic

This is part of our collection of Short Problems.

You may also be interested in our longer problems onĀ Place Value, Integers, Ordering and Rounding.

Printable worksheets containing selections of these problems are available here.

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

What were the maximum and minimum temperatures recorded in my max/min thermometer?

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

Can you find numbers between 100 and 999 that have a middle digit equal to the sum of the other two digits?

Age 11 to 14

ShortChallenge Level

If the odd numbers on two dice are made negative, which of the totals cannot be achieved?

Age 11 to 14

ShortChallenge Level

What is the smallest possible area that this rectangle could have?

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

If it takes 852 digits to number all the pages of a book, what is the number of the last page?

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

Can you find squares within a number grid whose entries add up to an even total?

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

Gill and I went out to lunch. We agreed to split the total cost equally. How much did I owe Gill?

Age 11 to 14

ShortChallenge Level

Let N be the smallest positive integer whose digits add up to 2015. What is the sum of the digits of N+1?

Age 14 to 16

ShortChallenge Level

Can you work out the value of P+Q+R in the multiplication shown?

Age 14 to 16

ShortChallenge Level

David listed ten consecutive numbers and removed one of them. Which number did he remove?

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

How many positive integers $n$ exist for which $n^2$ has the same number of digits as $n^3$?

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

When the numbers from 1 to 1000 are written on a blackboard, which digit appears the most number of times?

Age 14 to 16

ShortChallenge Level

What is the sum of all the digits in all the integers from one to one million?

Age 14 to 16

ShortChallenge Level

If the numbers in this news article have been estimated, then what is the largest number of gorillas that there could have been 10 years ago?

Age 14 to 16

ShortChallenge Level

Create 24 numbers from four digits. Why is 101 always a factor of their sum?