Quiz about 2018 Amc 10

Question 1

Alice, Bob, and Charlie were on a hike and were wondering how far away the nearest town was. When Alice said, "We are at least $$6$$ miles away, " Bob replied, "We are at most $$5$$ miles away." Charlie then remarked, "Actually the nearest town is at most $$4$$ miles away." It turned out that none of the three statements was true. Let $$d$$ be the distance in miles to the nearest town. Which of the following intervals is the set of all possible values of $$d$$ ?

Accepted Answer

Covalent bond

Question 2

Sangho uploaded a video to a website where viewers can vote that they like or dislike a video. Each video begins with a score of $$0 ,$$ and the score increases by $$1$$ for each like vote and decreases by $$1$$ for each dislike vote. At one point Sangho saw that his video had a score of $$90$$ , and that $$65 \%$$ of the votes cast on his video were like votes. How many votes had been cast on Sangho's video at that point?

Accepted Answer

Covalent bond

Question 3

![](http://admin.getprephub.com/media/editor/5375_20220516195703260486.png)
All of the triangles in the diagram below are similar to isosceles triangle $$A B C$$, in which $$A B=A C$$. Each of the $$7$$ smallest triangles has area $$1$$ , and $$	riangle A B C$$ has area $$40$$ . 
What is the area of trapezoid $$D B C E$$ ?

Accepted Answer

Covalent bond

Question 4

What is the value of
$$(((2+1)^{-1}+1)^{-1}+1)^{-1}+1 ?$$

Accepted Answer

Covalent bond

Question 5

Liliane has $$50 \%$$ more soda than Jacqueline, and Alice has $$25 \%$$ more soda than Jacqueline. What is the relationship between the amounts of soda that Liliane and Alice have?

Accepted Answer

Covalent bond

2018 Amc 10 Amc 10 Maths Problems and Solutions

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