16
MOCK EXAMINATION AMC 8 American Mathematics Contest 8 Test Sample Detailed Solutions SAMPLE

AMC 8 - ivyleaguecenter.files.wordpress.com · MOCK EXAMINATION AMC 8 American Mathematics Contest 8 Test Sample SAMPLE Detailed Solutions

  • Upload
    others

  • View
    22

  • Download
    4

Embed Size (px)

Citation preview

Page 1: AMC 8 - ivyleaguecenter.files.wordpress.com · MOCK EXAMINATION AMC 8 American Mathematics Contest 8 Test Sample SAMPLE Detailed Solutions

MOCK EXAMINATION

AMC 8 American Mathematics Contest 8

Test Sample

Detailed Solutions SAMPLE

Page 2: AMC 8 - ivyleaguecenter.files.wordpress.com · MOCK EXAMINATION AMC 8 American Mathematics Contest 8 Test Sample SAMPLE Detailed Solutions

Unauthorized copying or reuse of any part of this page is illegal!

https://ivyleaguecenter.wordpress.com/ Copyrighted Material Tel: 301-922-9508 Email: [email protected] Page 1

AMC 8 Mock Test

Detailed Solutions

Problem 1

Problem 2

Problem 3

Problem 4 SAMPLE

Page 3: AMC 8 - ivyleaguecenter.files.wordpress.com · MOCK EXAMINATION AMC 8 American Mathematics Contest 8 Test Sample SAMPLE Detailed Solutions

Unauthorized copying or reuse of any part of this page is illegal!

https://ivyleaguecenter.wordpress.com/ Copyrighted Material Tel: 301-922-9508 Email: [email protected] Page 2

Problem 5

The value of ∠𝐵𝐵𝐵𝐵𝐵𝐵 = 180o, in degrees, is

180 – 50 – 55 = 75.

Since 𝐷𝐷,𝐵𝐵, and 𝐸𝐸 lie on a straight line, we have:

80 + 75 + 𝑥𝑥 = 180.

Solving for 𝑥𝑥 gives:

𝑥𝑥 = 25. ANSWER: (A)

Problem 6

Problem 7

Problem 8 SAMPLE

Page 4: AMC 8 - ivyleaguecenter.files.wordpress.com · MOCK EXAMINATION AMC 8 American Mathematics Contest 8 Test Sample SAMPLE Detailed Solutions

Unauthorized copying or reuse of any part of this page is illegal!

https://ivyleaguecenter.wordpress.com/ Copyrighted Material Tel: 301-922-9508 Email: [email protected] Page 3

Problem 9

Problem 10

The total number of students answering the question was

300 + 1100 + 100 + 600 + 400 = 2500.

Thus, the percentage of students who selected the correct response was

11002500

× 100

or 44%.

ANSWER: (E)

Problem 11

SAMPLE

Page 5: AMC 8 - ivyleaguecenter.files.wordpress.com · MOCK EXAMINATION AMC 8 American Mathematics Contest 8 Test Sample SAMPLE Detailed Solutions

Unauthorized copying or reuse of any part of this page is illegal!

https://ivyleaguecenter.wordpress.com/ Copyrighted Material Tel: 301-922-9508 Email: [email protected] Page 4

Problem 12

Problem 13

Problem 14

Problem 15 SAMPLE

Page 6: AMC 8 - ivyleaguecenter.files.wordpress.com · MOCK EXAMINATION AMC 8 American Mathematics Contest 8 Test Sample SAMPLE Detailed Solutions

Unauthorized copying or reuse of any part of this page is illegal!

https://ivyleaguecenter.wordpress.com/ Copyrighted Material Tel: 301-922-9508 Email: [email protected] Page 5

Problem 16

Problem 17

SAMPLE

Page 7: AMC 8 - ivyleaguecenter.files.wordpress.com · MOCK EXAMINATION AMC 8 American Mathematics Contest 8 Test Sample SAMPLE Detailed Solutions

Unauthorized copying or reuse of any part of this page is illegal!

https://ivyleaguecenter.wordpress.com/ Copyrighted Material Tel: 301-922-9508 Email: [email protected] Page 6

Problem 18

Problem 19

Problem 20

SAMPLE

Page 8: AMC 8 - ivyleaguecenter.files.wordpress.com · MOCK EXAMINATION AMC 8 American Mathematics Contest 8 Test Sample SAMPLE Detailed Solutions

Unauthorized copying or reuse of any part of this page is illegal!

https://ivyleaguecenter.wordpress.com/ Copyrighted Material Tel: 301-922-9508 Email: [email protected] Page 7

Problem 21

SAMPLE

Page 9: AMC 8 - ivyleaguecenter.files.wordpress.com · MOCK EXAMINATION AMC 8 American Mathematics Contest 8 Test Sample SAMPLE Detailed Solutions

Unauthorized copying or reuse of any part of this page is illegal!

https://ivyleaguecenter.wordpress.com/ Copyrighted Material Tel: 301-922-9508 Email: [email protected] Page 8

SAMPLE

Page 10: AMC 8 - ivyleaguecenter.files.wordpress.com · MOCK EXAMINATION AMC 8 American Mathematics Contest 8 Test Sample SAMPLE Detailed Solutions

Unauthorized copying or reuse of any part of this page is illegal!

https://ivyleaguecenter.wordpress.com/ Copyrighted Material Tel: 301-922-9508 Email: [email protected] Page 9

Problem 22

SAMPLE

Page 11: AMC 8 - ivyleaguecenter.files.wordpress.com · MOCK EXAMINATION AMC 8 American Mathematics Contest 8 Test Sample SAMPLE Detailed Solutions

Unauthorized copying or reuse of any part of this page is illegal!

https://ivyleaguecenter.wordpress.com/ Copyrighted Material Tel: 301-922-9508 Email: [email protected] Page 10

Problem 23

SAMPLE

Page 12: AMC 8 - ivyleaguecenter.files.wordpress.com · MOCK EXAMINATION AMC 8 American Mathematics Contest 8 Test Sample SAMPLE Detailed Solutions

Unauthorized copying or reuse of any part of this page is illegal!

https://ivyleaguecenter.wordpress.com/ Copyrighted Material Tel: 301-922-9508 Email: [email protected] Page 11

Problem 24

SAMPLE

Page 13: AMC 8 - ivyleaguecenter.files.wordpress.com · MOCK EXAMINATION AMC 8 American Mathematics Contest 8 Test Sample SAMPLE Detailed Solutions

Unauthorized copying or reuse of any part of this page is illegal!

https://ivyleaguecenter.wordpress.com/ Copyrighted Material Tel: 301-922-9508 Email: [email protected] Page 12

Problem 25

SAMPLE

Page 14: AMC 8 - ivyleaguecenter.files.wordpress.com · MOCK EXAMINATION AMC 8 American Mathematics Contest 8 Test Sample SAMPLE Detailed Solutions

Unauthorized copying or reuse of any part of this page is illegal!

https://ivyleaguecenter.wordpress.com/ Copyrighted Material Tel: 301-922-9508 Email: [email protected] Page 13

SAMPLE

Page 15: AMC 8 - ivyleaguecenter.files.wordpress.com · MOCK EXAMINATION AMC 8 American Mathematics Contest 8 Test Sample SAMPLE Detailed Solutions

Unauthorized copying or reuse of any part of this page is illegal!

https://ivyleaguecenter.wordpress.com/ Copyrighted Material Tel: 301-922-9508 Email: [email protected] Page 14

SAMPLE

Page 16: AMC 8 - ivyleaguecenter.files.wordpress.com · MOCK EXAMINATION AMC 8 American Mathematics Contest 8 Test Sample SAMPLE Detailed Solutions

Unauthorized copying or reuse of any part of this page is illegal!

https://ivyleaguecenter.wordpress.com/ Copyrighted Material Tel: 301-922-9508 Email: [email protected] Page 15

These problems are copyright Ivy League Education Center (https://ivyleaguecenter.wordpress.com/) SAMPLE