MathGrit
ProblemsTechniquesPricing
Sign inGet started
Back to problems

Sign Pyramid Pattern

1350ApprenticeCombinatorics

AMC 8 · 2018 · Problem 19

In a sign pyramid a cell gets a "+" if the two cells below it have the same sign, and it gets a "-" if the two cells below it have different signs. The diagram below illustrates a sign pyramid with four levels. How many possible ways are there to fill the four cells in the bottom row to produce a "+" at the top of the pyramid? [Asymptote diagram]

Answer choices

A
2
B
4
C
8
D
12
E
16
0 students attempted0% solvedRating 1350

Related practice paths

AMC 8 PracticeMiddle school contest practice with hints and review.What Is a Good AMC 8 Score?Understand AMC 8 results and set the next practice target.AIME Practice StrategyHow to improve accuracy on high-difficulty problems.

Ready to check your answer?

Create an account to submit answers, save history, and track your rating.

Progressive Hints5

Unlock hints one at a time — each reveals a little more without spoiling the solution.

Step-by-Step Solutions6

Multiple solution approaches with detailed walkthroughs, unlocked after you solve the problem.

AI-Powered Grading

Instant feedback on your answer — handles fractions, decimals, and equivalent forms.

Curated problem bank

Supported tracks for AMC, AIME, MATHCOUNTS, and olympiad-style training, plus global problem sources like UKMT, Euclid, and Kangaroo.