2020 AMC 8 Problem Topics

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.

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