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2021 Amc 12 B Fall Amc Class 12 Maths Problems and Solutions

Many students find 2021 Amc 12 B Fall for Amc Class 12 particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for 2021 Amc 12 B Fall from for Amc Class 12 preparation.

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Question
Level
Action
What is the value of $$1234+2341+3412+4123 ?$$......
Level 1
What is the area of the shaded figure shown below? ![](http://admin.getprephub.com/media/editor/5446......
Level 2
Let $$n=8^{2022}$$. Which of the following is equal to $$\frac{n}{4}$$ ?......
Level 2
The largest prime factor of $$16384$$ is $$2$$ because $$16384=2^{14}$$. What is the sum of the dig......
Level 2
Una rolls $$6$$ standard $$6$$ -sided dice simultaneously and calculates the product of the $$6$$ nu......
Level 2
At noon on a certain day, Minneapolis is $$N$$ degrees warmer than St. Louis. At $$4: 00$$ the tempe......
Level 3
Call a fraction $$\frac{a}{b}$$, not necessarily in the simplest form, special if $$a$$ and $$b$$ ar......
Level 3
Which of the following conditions is sufficient to guarantee that integers $$x, y$$, and $$z$$ satis......
Level 3
The product of the lengths of the two congruent sides of an obtuse isosceles triangle is equal to th......
Level 3
Triangle $$A B C$$ is equilateral with side length $$6$$ . Suppose that $$O$$ is the center of the ......
Level 3
For $$n$$ a positive integer, let $$f(n)$$ be the quotient obtained when the sum of all positive div......
Level 3
What is the average number of pairs of consecutive integers in a randomly selected subset of 5 disti......
Level 3
What is the sum of all possible values of $$t$$ between $$0^{\circ}$$ and $$360^{\circ}$$ such that ......
Level 4
Let $$C=\frac{2 \pi}{11}$$. What is the value of $$\frac{\sin 3 C \times \sin 6 C \times \sin 9 C \......
Level 4
Suppose that $$P(z), Q(z)$$, and $$R(z)$$ are polynomials with real coefficients, having degrees $$2......
Level 4
Three identical square sheets of paper each with side length 6 are stacked on top of each other. The......
Level 4
Suppose $$a, b, c$$ are positive integers such that $$a+b+c=23$$ and $${gcd}(a, b)+{gcd}(b, c)+{gcd}......
Level 4
A bug starts at a vertex of a grid made of equilateral triangles of side length $$1.$$ At each step ......
Level 5
Set $$u{0}=\frac{1}{4}$$, and for $$k \geq 0$$ let $$u{k+1}$$ be determined by the recurrence $$u{k+......
Level 5
Regular polygons with $$5,6,7$$, and $$8$$ sides are inscribed in the same circle. No two of the pol......
Level 5