5/27 Theta Math Club Activity

5/27 Theta Math Club Activity

6th - 8th Grade

40 Qs

quiz-placeholder

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5/27 Theta Math Club Activity

5/27 Theta Math Club Activity

Assessment

Quiz

Mathematics

6th - 8th Grade

Hard

Created by

Dylan Fei

Used 10+ times

FREE Resource

40 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A 1-by-2 rectangle is inscribed in a semicircle with its longer side on the diameter. What is the area of the semicircle?

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

Media Image

Hint: connect points B and D to form a right triangle

12

24

26

30

36

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

Media Image

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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