On the 2020 AMC 8, there are 8 counting problems, 15 arithmetic and algebra problems, 1 geometry problem and 1 number theory problem. Surprisingly, there are no probability problems.
This year’s AMC 8 was harder than ever before. All the problems are word problems, and require critical thinking along with advanced math skills.
The topics of the 2020 AMC 8 problems are distributed extremely unequally, which is very different from the normal distribution. It is extremely unusual that there is only one geometry problem and only one number theory problem on this year’s AMC 8.
Normally, there are at least five geometry problems and at least four number theory problems. Particularly, there are usually 2 hard geometry problems in the last 5 problems of the AMC 8.
Table 1: The Topics of the Problems on the 2020 AMC 8
No. |
Topic |
1 |
Arithmetic: ratios |
2 |
Arithmetic: averages |
3 |
Arithmetic: rates and proportions |
4 |
Counting: patterns |
5 |
Arithmetic: ratios and percents |
6 |
Logic and Counting: arrangements with restrictions, logic puzzles |
7 |
Counting: combinations, casework |
8 |
Algebra: maximum and minimum |
9 |
Counting and 3-D Geometry: casework and spatial visualization |
10 |
Counting: permutations, complementary counting |
11 |
Arithmetic: ratios and rates |
12 |
Algebra: equations |
13 |
Arithmetic and Algebra: percents and equations |
14 |
Arithmetic and Data Analysis: averages |
15 |
Arithmetic and Algebra: percents and equations |
16 |
Arithmetic and Algebra: additions and equations |
17 |
Counting and Number Theory: fundamental counting principle, complementary counting, factors |
18 |
Geometry: rectangles, circles, and Pythagorean triples |
19 |
Number Theory and Counting: casework, divisibility |
20 |
Algebra, Arithmetic, and Data Analysis: averages |
21 |
Counting: path counting, Pascal’s triangle, complementary counting |
22 |
Algebra: sequences |
23 |
Counting: casework, the principle of inclusion and exclusion |
24 |
Algebra and Arithmetic, and Geometry: squares, ratios, and percents |
25 |
Algebra and Geometry: squares, rectangles, and equations |
Table 2: The Topic Distributions of the Problems on the 2020 AMC 8
Topic |
No. of Problems |
Arithmetic and Algebra |
15 |
Geometry |
1 |
Counting |
8 |
Number Theory |
1 |
Because the AMC 8 problems are getting harder, we must practice not only previous AMC 8 problems but also easy, medium, and even difficult level problems from previous AMC 10/12 to do well on the AMC 8.
References:
- Two Problems on the 2020 AMC 8 are Exactly the Same as Two Problems on Our Sample 2017 AMC 8 Mock Test
- 2020 AMC 8 Problems and Answers
- The Hardest Problems on the 2018 AMC 8 are Nearly Identical to Former Problems on the AMC 8, 10, 12, and MathCounts
- The Hardest Problems on the 2017 AMC 8 are Extremely Similar to Previous Problems on the AMC 8, 10, 12, Kangaroo, and MathCounts
- Some Hard Problems on the 2016 AMC 8 are Exactly the Same as Previous Problems on the AMC 10/12 and the Other Competitions
More details can be found at:
- 2019 AMC 8 Results Just Announced — Eight Students Received Perfect Scores
- 2018 AMC 8 Results Just Announced — Three Students Received Perfect Scores
- The Hardest Problems on the 2018 AMC 8 are Nearly Identical to Former Problems on the AMC 8, 10, 12, and MathCounts
- AMC 8 Historical Results from 2010 to 2018
- The AMC 10/12 Contests at the Montgomery College on January 30, 2020, and February 5, 2020
- 2017 AMC 8 Results Just Announced — Seven Students Received Perfect Scores
- 2016 AMC 8 Results Announced — Eleven Students Received Perfect Scores
- 20 Sets of AMC 8 Mock Test with Detailed Solutions
- Premier National Mathematics Competition — AMC 8
- AMC 8/10/12/AIME Problems and Answers
- The Big Value of Middle School Math Competitions
- Great Benefits of Math Competitions
- A Little Competition Can Inspire Math Students to Greater Achievement
- Small-sized Class Instruction-focused Model
- Homework Correction is very Important — We Give an Extensive Correction of the Incorrect Answers of All Homework
- Homework assignments are a fundamental part of our courses
- Mathematics competitions are NOT mysterious, and every student can attend them! — 数学竞赛绝非神秘，每个学生都可参加！
- Girls should attend math competitions — 女生更应参加数学竞赛
- Why Math Competitions are so Important to Girls?
- 2015 AMC 8 Results Announced
- 2014 AMC 8 Winners for the U.S. Ivy League Education Center
- Why Discrete Math is very Important
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