Math, Puzzle and Treat Challenge Week 2 (7th grade)

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Taylor's Math, Puzzle and Treat Month Challenge (7th Grade - Week 2)

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 Saturday (Oct 15), 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 108 points (for 7th and 8th graders) and 81 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.

You can also download the challenge here: https://drive.google.com/file/d/1E-KxJ4n5w4-K43dqCvdLk1T_xlZj0GLP/view?usp=sharing

Email *

Your name: *

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

(3 points question)

1. Luna can put 4 coins in a square made using 4 matches (see pic). At least how many matches will she need in order to make a rectangle containing 8 coins that do not overlap?

3 points

A) 6

B) 8

C) 10

D) 12

E) 14

(3 points question)

2. Finn shades various shapes on square sheets of paper, as shown. How many of these shapes have the same perimeter as the sheet of paper itself?

3 points

A) 2

B) 3

C) 4

D) 5

E) 6

(3 points question)

3. Henry and John started walking from the same point. Henry went 1 km north, 2 km west, 4 km south and finally 1 km west. John went 1 km east, 4 km south and 4 km west. Which of the following must be the final part of John's walk in order to reach the point where Henry ended his walk?

3 points

A) He has already reached the same point.

B) 1 km north

C) 1 km north-west

D) More than 1 km north-west

E) 1 km west

(3 points question)

4. Solve for X. (3X + 5) = 26

3 points

A) 1

B) 3

C) 5

D) 6

E) 7

(4 points question)

5. A train traveling at a steady speed crossed a bridge which was 360 m long in 1 minute. The whole train passed a person standing on the bridge in 24 seconds. How long was the train?

Hint: Total distance travel in 1 minute = bridge length (360m) + train length

4 points

A) 240 m

B) 120 m

C) 100 m

D) 80 m

E) 150 m

(4 points question)

6. George wants to arrange the twelve numbers from 1 to 12 in a circle in such a way that any neighboring numbers always differ by either 1 or 2. Which of the following pairs of numbers have to be neighbors?

4 points

A) 5 and 6

B) 10 and 9

C) 6 and 7

D) 8 and 10

E) 4 and 3

(4 points question)

7. Each year, the date of the California Flower competition is the third Thursday of March. What is the latest possible date of the competition in any year?

4 points

A) March 14

B) March 15

C) March 20

D) March 21

E) March 22

(5 points question)

8. If Adam stands on the table and Mike stands on the floor, then Adam is 80 cm taller than Mike.

If Mike stands on the same table and Adam stands on the floor, then Mike is one meter taller than Adam. How high is the table?
*

5 points

A) 20 cm

B) 80 cm

C) 90 cm

D) 100 cm

E) 120 cm

(5 points question)

9. If two dice are rolled, what is the probability the sum of the resulting numbers is 6?

Hint: To solve this problem, you need first to figure out how many combinations are possible. e.g. 1 & 5, 2 & 4 ...

5 points

A) 1/6

B) 1/8

C) 1/12

D) 1/18

E) 5/36

(5 points question)

10.In how many different ways can three people finish a race if no ties are allowed?
*

5 points

A) 2

B) 3

C) 4

D) 5

E) 6

If you achieve the Bronze, Silver or Gold level score - would you like your name to show up on the weekly honor roll?
*

Yes

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

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