Cheenta
Academy for Gifted Students
How Cheenta works to ensure student success?
Explore the Back-Story

Cheenta: Passion for Mathematical Sciences - Home Forums AMC 8 AMC 8, 2024 Problem Marathon

Tagged: 

Viewing 5 posts - 1 through 5 (of 50 total)
  • Author
    Posts
  • #98550

    Welcome to the Problem Marathon for AMC 8. You can login with google and post your solutions here. The student with most correct solutions will receive an award at the end of the problem marathon.

    The question paper of AMC 8, 2024 is available here.

    AMC 8, 2024 Problems, Solutions and Concepts

    #98553

    Problem 1

    Solution 1-

    My idea is to solve it in this manner-

     

    222222-(22222+2222+222+22+2)

     

    I don't care about the number in the brackets but about its unit digit. As 2 is repeating 5 times in the unit digit, it will be 2×5= 10

    222222-0= 2 (B)

    #98555

    Problem 2
    Solution (The typical method)

    $$ \frac{44}{11}+\frac{110}{44}+\frac{44}{1100} $$

    We will simplify and get-

    $$\frac {4} {1}+ \frac {10} {4}+ \frac {4} {100}$$

    $$ = 4+ 2.5+0.04= 6.54 $$(C)

     

    #98559

    Problem 3

    To ease the solution, I have given names to the points

    Area of Grey Region= Area of HEFGJI+ Area of AKLMCB

    Area of HEFGJI= \( 7^2 \) - \( 4^2 \)
    = 49-16= 33
    Area of AKLMCB
    = \( 10^2 \) - \( 9^2 \)
    = 100-81= 19
    ∴ 33+19=52(E)

    #98560

    Problem 4

    The sum from 1 to 9= 45
     The square numbers below 45= 1,4,9,16,25 and 36 (Excluding 0)

    Now, We can say that the closest 2 square numbers from 45 are 25 and 36
    The difference for each is 20 and 9 respectively.

    20 is not an element in our set of numbers from 1 to 10

    ∴ 9 is the number excluded by Yunji (E)

Viewing 5 posts - 1 through 5 (of 50 total)
  • You must be logged in to reply to this topic.

Knowledge Partner

Cheenta is a knowledge partner of Aditya Birla Education Academy
Cheenta

Cheenta Academy

Aditya Birla Education Academy

Aditya Birla Education Academy

Cheenta. Passion for Mathematics

Advanced Mathematical Science. Taught by olympians, researchers and true masters of the subject.
JOIN TRIAL
support@cheenta.com
Menu
Trial
Whatsapp
Read
magic-wandexitrockethighlight