Taylor PTA Math, Puzzle & Treat Challenge (8th)

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Taylor's Math, Puzzle and Treat Month Challenge (8th Grade - Week 1)

There are 4 three-point questions, 3 four-point questions, 3 five-point questions. Levels of accomplishment: Bronze level - 14 points. Silver level - 22 points. Gold level - 34 points. To claim your Treat - you need to submit your responses by the end of Sunday (Oct 9), achieve a Bronze/Silver/Gold level score, AND show your work on paper. If you score the full 39 score - you will get to vote for the treats for the following week.

At the end of the challenge, anyone who received the accumulated score of 100 points (for 7th and 8th graders) and 75 points (for 6th graders - due to Outdoor Ed week) AND Show their work on paper will get invited to a pizza party with the Math Department.

Note: you can only submit your answers ONCE so make sure you double check your answers before submit. You need to show your work on paper.

Email *

Your name? *

If you achieve the Bronze, Silver or Gold level score - would you like your name (first name with initial of your last time) to show up on the weekly honor roll?
*

Yes

Enter your parents' email(s) if they would like to receive a copy of your report

(3 points question)

1. Point O is the center of a regular pentagon. What part of the pentagon is the shaded region?

3 points

A) 10%

B) 20%

C) 30%

D) 40%

E) 50%

(3 points question)

2. Sam and his family take a road trip from Washington, DC to Duck, NC. On the way, they stop for lunch in Richmond, VA, which was 116 miles from DC and 166 miles from Duck. They traveled at an average speed of 58 mi/hr from DC to Richmond, and after lunch, it took them 4 hr to get to Duck. What was Susanna’s family’s average speed in miles per hour for the entire trip from Washington, DC to Duck, NC (disregarding the time spent at rest stops, lunch, etc.)?

3 points

A) 42 mi/hr

B) 43 mi/hr

C) 45 mi/hr

D) 47 mi/hr

E) 51 mi/hr

(3 points question)

3. Four boys and four girls attended Adam’s party. The boys danced only with the girls and the girls danced only with the boys. Afterward, when asked the question, “With how many different people did you dance?” the four boys answered: 3, 1, 2, 2, while three of the girls answered: 2, 2, 2. With how many boys did the fourth girl dance?

3 points

A) 0

B) 1

C) 2

D) 3

E) 4

(3 points question)

4. During three consecutive games the soccer team AYSO Millbrae made a total of three goals and had one goal scored against them. This soccer team won one of these three games, lost one game, and tied one game. What was the final score of the game that AYSO Millbrae won?

3 points

A) 2 − 0

B) 0 − 1

C) 1 − 0

D) 2 − 1

E) 3 – 0

(4 points question)

5. A lumberjack chopped wood, each time cutting a piece of wood in half. When he finished he observed that after making 53 cuts he had 72 pieces of wood. With how many pieces did he

begin?
*

4 points

A) 17

B) 18

C) 19

D) 20

E) 21

(4 points question)

6. X is a strictly negative integer. Which of the expressions is the greatest?

4 points

A) −2X

B) 2X

C) X + 1

D) 6X + 2

E) X − 2

(4 points question)

7. If two dice are rolled, what is the probability the sum of the resulting numbers is 4?

4 points

A) 1/6

B) 1/8

C) 1/10

D) 1/12

E) 1/16

(5 points question)

8. In the equation KAN – GAR = OO each letter represents a certain digit (different letters represent different digits, the same letters represents the digits). Find the largest possible value of the number KAN.

5 points

A) 987

B) 876

C) 865

D) 864

E) 785

(5 points question)

9. An island is inhabited by two types of people: truth-tellers and liars. The truth-tellers always tell the truth and the liars always lie. 25 of the island’s inhabitants stood in a line. Each of them with the exception of the first person said, “The person directly in front of me is a liar,” while the person standing first in the line said, “Everyone standing behind me is a liar.” How many liars stood in the line?

5 points

A) 24

B) 13

C) 12

D) 0

E) It is impossible to determine.

(5 points question)

10. Chantel is going to Mills HS next year and will be in the 9th grade. She has learned that there are 11 boys and 13 girls (including herself) in her homeroom. If the desks in her homeroom are arranged in groups of four and student grouping is random, what is the probability that the group of four desks that she is sitting at includes only girls?

5 points

A) 66/253

B) 20/161

C) 55/231

D) 30/161

E) 40/161

A copy of your responses will be emailed to the address you provided.

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