2024/25 - Challenge Set #5 (F18O)

Mathematical Equivalence

ON

A piece of cardboard as shown is folded along the dotted lined into the shape of a cube. In the resulting cube, which letter will be on the face opposite to the face with the letter B?

It took Mr. Chen 3 hours to grade 14 papers. At this rate, how many papers can he grade in 12 hours?

Mathematical Equivalence

ON

Mathematical Equivalence

ON

In the two equations shown, all triangles represent the same number and all circles represent the same number. What number does the triangle represent?

Mathematical Equivalence

ON

How many triangles are there in the figure shown?

Mathematical Equivalence

ON

Angie is writing "WORK HARD DREAM BIG" over and over on the hallway wall. What is the 100th letter she writes?

Cody, Maria and Nora have a total of 6 carnival game tokens. If each of them gets at least 1 token, in how many different ways can they share the 6 tokens? (NOTE: All tokens are identical)

Mathematical Equivalence

ON

Levi organized his 45 shirts into 3 drawers. Then his sister, Molly, came and rearranged the shirts. She moved 6 shirts from the top drawer to the middle drawer, then she moved 4 shirts from the middle drawer to the bottom drawer, and then she moved 5 shirts from the bottom drawer to the top drawer. Finally Molly said, "Now ever drawer has the exact same number of shirts!" How many shirts were in the middle drawer before Molly came?

Mathematical Equivalence

ON

Peter is leaving town for a while, and Robert and Karen will be taking turns house-sitting for him

. If they use the following patter, then Robers will house sit 2 more days than Karen.

Robert: 2 days, Karen: 2 days, Robert: 2 days, Karen: 2 days...

If they use the following pattern instead, then they will house sit the same number of days.

Robert: 3 days, Karen: 3 days, Robert: 3 days, Karen: 3 days...

The number of days Peter will be out of town in between 45 and 65. How many days will Peter be out of town?

Mathematical Equivalence

ON