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Math Olympiad

16

A natural number is a multiple of 13 and is also divisible by 4 and by 6. What is the smallest number the satisfies these conditions ?

17

When I open my science book,two pages face me and the sum of the two pages number is 317. What is the number of the very next page?

18

The average of five numbers is 16. Suppose 10 is added as a sixth number. What is the average of the six numbers?

19

Tickets for a concert cost $2 each for children and $5 each for adults. A group of thirty people consisting of children and adults paid a total of $87 for a concert . How many adults were in the group ?

20

A fisherman sold some big fish at $4 each and twice as many small fish at $1 each. He received a total of $72 for the big fish and small fish. How many fish did he sell ?

21

If 48 is added to one - third of a number , the triple of the number is the result. What is the number ?

22

The three-digit number AB8 is 296 more than the two-digit number AB. What is the value of the two digit-number AB?

25

Suppose the time is now 2 o'clock on a twelve - hour clock which runs continuously. What time will it show 1000 hours from now ?

23

How many different whole numbers are factors of 100 ?

24

Consecutive numbers are whole numbers that follow in order such as 3,4,5. Find the smallest of the five consecutive numbers whose sum is 100.

26

The weight of a whole brick is the same as 4 pounds plus the weight of 1/3 of the whole brick. How many pounds does the whole brick weigh ?

27

The first 40 odd counting numbers are written. How many times does ‘3’ appear as a digit?

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28

How many even numbers between 1 and 101 are multiples of 3?

29

A tractor wheel is 88 inches in circumference. How many complete turns will the wheel make in rolling one mile on the ground ?

30


When 24 is added to a number , the result is the same as when the number is multiplied by 3. What is the number?

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