A 1-by-2 rectangle is inscribed in a semicircle with its longer side on the diameter. What is the area of the semicircle?
5/27 Theta Math Club Activity

Quiz
•
Mathematics
•
6th - 8th Grade
•
Hard
Dylan Fei
Used 10+ times
FREE Resource
40 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Hint: the area of a triangle with an inscribed circle may also be represented as the product of its semi-perimeter (sum of the triangle's sides divided by 2) and the inradius (what we want) of the inscribed circle
7/6
13/5
59/18
10/3
60/13
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Hint: connect points B and D to form a right triangle
12
24
26
30
36
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
8
9
12
24
36
Answer explanation
This question quizzes a fundamentally important concept in combinatorics. Start with the A. See how many ways there are to make the next letter, M. (There are 4.) Now, see how many ways there are to choose the next letter, C. (There are three.) Lastly, there are two ways to choose the number 8, leaving you with 24 ways in total to spell out AMC8.
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
0
2
4
5
7
Answer explanation
List out the multiples of 9. Plug them into the equalities to see if they match.
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following numbers is not a perfect square?
Answer explanation
Look for the values with odd exponents. Then, realize that 42019 can be rewritten as 24038.
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Determine how many two-digit numbers satisfy the following property: when the number is added to the number obtained by reversing its digits, the sum is 132.
5
7
9
11
12
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