Hard Math Olympiad Problems

Count the number of triangles in the given figure.

• 8

• 10

• 12

• 14

Tags

CCSS.4.G.A.1

If 5 people can make 5 toys in 5 days, how many people would it take to make 50 toys in 50 days?

• 1

• 5

• 25

• 50

• 500

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

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.3.MD.A.1

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

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.NBT.B.5

CCSS.4.OA.B.4

Bilbo found a great deal on rings. He bought a ring for 70% of the original price. If he saved $45, what was the original price?

• $150

• $125

• $105

• $115

Tags

CCSS.7.EE.B.3

CCSS.7.EE.B.4

CCSS.7.RP.A.3

If the length of a rectangle is increased by 10%, and the width is decreased by 10%, what is the effect on the area of the rectangle?

• Decreases by 1%

• No Change

• Increases by 1%

• increases by 21%

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.MG.A.1

There are 10 ducks. 5 of these 10 ducks lay an egg every day. The other 5 ducks lay an egg every second day. How many eggs in total do the 10 ducks lay in a period of 10 days? 10

• 75

• 60

• 50

• 25

Tags

CCSS.5.NBT.B.5

A fly has 6 legs, a spider has 8 legs. Together 3 flies and 2 spiders have as many legs as 9 chickens and several cats. How many cats are there?

• 2 cats

• 3 cats

• 4 cats

• 5 cats

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

When is it ok to be late to Math Olympiad?

• When the time was changed

• When the problems are too hard

• When it's on Tuesday

• It's never ok to be late to Math Olympiad