Challenge Set #6 - 2023/2024

Mathematical Equivalence

ON

A piece of cardboard as shown in the picture is folded along the dotted lines 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 following two equations, 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?

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, Marina and Nora have a total of 6 carnival game tokens. If each of them gets at least one token, how many different ways can they share the tokens? (Note: all tokens are identical)

Mathematical Equivalence

ON

Levi organized his 45 shirts into 3 drawers. Then his sister Molly came and rearranged his 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 every 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 pattern, then Robert will house sit 2 more times than Karen.

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

If they use the following patter, the 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 will be between 45 and 65.

How many days will Peter be out of town?

Mathematical Equivalence

ON