# 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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