Place Value, Integers, Ordering and Rounding Short Problems: Age 11-16
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problem
Can you find numbers between 100 and 999 that have a middle digit equal to the sum of the other two digits?
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problem
If the odd numbers on two dice are made negative, which of the totals cannot be achieved?
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problem
The sum of each column and row in this grid give the totals as shown. What number goes in the starred square?
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problem
Can you solve this magic square?
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problem
Tony and Tina can't work out which of them owes what to the other. Can you?
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problem
In how many ways can you give change for a ten pence piece?
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problem
Arrange these three famous mathematicians in order with the shortest-lived first.
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problem
Jack does a 20-question quiz. How many questions didn't he attempt?
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problem
What were the maximum and minimum temperatures recorded in my max/min thermometer?
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problem
When is the next time that Brian's age will be the reverse of his father's age?
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problem
How well can you count back from sixty thousand?
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problem
What is the smallest possible area that this rectangle could have?
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problem
Tick's watch is slow and Tock's watch is fast. How long is it before their watches differ by an hour?
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problem
Gill and I went out to lunch. We agreed to split the total cost equally. How much did I owe Gill?
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problem
Can you find squares within a number grid whose entries add up to an even total?
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Can you find a number and its double using the digits $1$ to $9$ only once each?
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problem
If it takes 852 digits to number all the pages of a book, what is the number of the last page?
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problem
Sara makes a list of the whole numbers that do not contain any 9s. What is the 300th number on her list?
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problem
Let N be the smallest positive integer whose digits add up to 2015. What is the sum of the digits of N+1?
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problem
If p is a positive integer and q is a negative integer, which of these expressions is the greatest?
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problem
How many positive integers $n$ exist for which $n^2$ has the same number of digits as $n^3$?
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problem
Alberta won't reveal her age. Can you work it out from these clues?
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problem
Can you work out the value of P+Q+R in the multiplication shown?
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problem
David listed ten consecutive numbers and removed one of them. Which number did he remove?
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problem
How many digits are there in this product?
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problem
What is the sum of all the digits in all the integers from one to one million?
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problem
When the numbers from 1 to 1000 are written on a blackboard, which digit appears the most number of times?
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problem
Create 24 numbers from four digits. Why is 101 always a factor of their sum?
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problem
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?
