Quiz about 2021 Amc 12 B Spring

Question 1

How many integer values of $$x$$ satisfy $$|x|<3 \pi$$ ?

Accepted Answer

Covalent bond

Question 2

At a math contest, $$57$$ students are wearing blue shirts, and another $$75$$ students are wearing yellow shirts. The $$132$$ students are assigned into $$66$$ pairs. In exactly $$23$$ of these pairs, both students are wearing blue shirts. 
In how many pairs are both students wearing yellow shirts?

Accepted Answer

Covalent bond

Question 3

Suppose
$$2+\frac{1}{1+\frac{1}{2+\frac{2}{3-x}}}=\frac{144}{53}$$
What is the value of $$x$$ ?

Accepted Answer

Covalent bond

Question 4

Ms. Blackwell gives an exam to two classes. The mean of the scores of the students in the morning class is $$84$$ , and the afternoon class's mean score is $$70$$ . The ratio of the number of students in the morning class to the number of students in the afternoon class is $$\frac{3}{4}$$. What is the mean of the scores of all the students?

Accepted Answer

Covalent bond

Question 5

The point $$P(a, b)$$ in the $$x y$$-plane is first rotated counterclockwise by $$90^{\circ}$$ around the point $$(1,5)$$ and then reflected about the line $$y=-x$$. The image of $$P$$ after these two transformations is at $$(-6,3)$$. What is $$b-a$$ ?

Accepted Answer

Covalent bond

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

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