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2021 Amc 12 A Fall Amc Class 12 Maths Problems and Solutions
AMC Class 12
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English > Maths > All > 2021 Amc 12 A Fall
Question
Level
Action
Menkara has a $$4 \times 6$$ index card. If she shortens the length of one side of this card by $$1$......
Level 1
Mr. Lopez has a choice of two routes to get to work. Route A is $$6$$ miles long, and his average sp......
Level 2
The six-digit number $$20210A$$ is prime for only one digit $$A$$. What is $$A ?$$......
Level 2
Elmer the emu takes $$44$$ equal strides to walk between consecutive telephone poles on a rural road......
Level 2
As shown in the figure below, point $$E$$ lies on the opposite half-plane determined by line $$C D$$......
Level 2
Let $$M$$ be the least common multiple of all the integers $$10$$ through $$30$$ , inclusive. Let $$......
Level 2
An organization has $$30$$ employees, $$20$$ of whom have a brand $$A$$ computer while the other $$1......
Level 2
Let $$x$$ be the least real number greater than $$1$$ such that $$\sin (x)=\sin (x^{2})$$, where the......
Level 2
A school has $$100$$ students and $$5$$ teachers. In the first period, each student is taking one cl......
Level 3
The base-nine representation of the number $$N$$ is $$27,006,000,052_{\text {nine. }}$$.
What is th......
Level 3
Consider two concentric circles of radius $$17$$ and $$19 $$. The larger circle has a chord, half of......
Level 3
The angle bisector of the acute angle formed at the origin by the graphs of the lines $$y=x$$ and $$......
Level 3
In the figure, equilateral hexagon $$A B C D E F$$ has three nonadjacent acute interior angles that ......
Level 3
Azar and Carl play a game of tic-tac-toe. Azar places an in $$X$$ one of the boxes in a $$3 \times 3......
Level 3
Recall that the conjugate of the complex number $$w=a+b i$$, where $$a$$ and $$b$$ are real numbers ......
Level 4
How many ordered pairs of positive integers $$(b, c)$$ exist where both $$x^{2}+b x+c=0$$ and $$x^{2......
Level 4
Each of the $$20$$ balls is tossed independently and at random into one of the $$5$$ bins. Let $$p$$......
Level 4
For each positive integer $$n$$, let $$f_1(n)$$ be twice the number of positive integer divisors of ......
Level 4
Let $$A B C D$$ be an isosceles trapezoid with $$\overline{B C} || \overline{A D}$$ and $$A B=C D$$.......
Level 4