Math Olympiad Problems

Suppose two days before yesterday was Wednesday. What day of the week will it be 100 days from today?

• Sunday

• Tuesday

• Monday

• Wednesday

Tags

CCSS.6.NS.B.3

The first fifteen multiples of 6 are 6,12, 18, 24, ..., 84, 90. What is the sum of these multiples of 6?

• 750

• 900

• 360

• 720

Finn the largest factor of 2520 that is not divisible by 6

• 315

• 325

• 360

• 380

Tags

CCSS.HSA.APR.D.7

Given the expression 1990(1991) - 1989(1990). What counting number is equivalent to the expression?

• 3900

• 3980

• 3960

• 3990

Tags

CCSS.6.EE.A.2C

Suppose the counting numbers from 1 through 100 are written on paper. What is the total number of 3's and 8's that will appear on the paper?

• 60

• 50

• 30

• 40

Tags

CCSS.1.NBT.A.1

ABCD represents a 4 digit number. The product of its digits is 70. What is the largest number that ABCD can represent?

• 7521

• 7215

• 7125

• 5721

Tags

CCSS.4.OA.C.5

The quotient of two numbers is 4 and their difference is 39. What is the smallest number of the two?

• 39

• 52

• 13

• 42

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• 24

• 12

• 36

• 48

Tags

CCSS.8.EE.C.7B

A jar contains a large number of pennies. The pennies can be divided into equal shares among 3,4,5,6,7 or 8 children with no pennies left over each time. What is the least number of pennies the jar could contain?

• 840

• 820

• 800

• 980

Tags

CCSS.8.EE.C.7B

N is the number of buttons in a sewing box.

a) N is more that 40 but less than 80

b) When N is divided by 5 the remainder is 2

c) When N is divided by 7, the remainder is 4

Find the value of N

• 67

• 82

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8