Over the past week, thousands of middle school students participated in this year’s AMC 8 Competition. Whether you took the AMC 8 at school or online, we hope it went well!

The last day of testing was January 24th, so now the problems can be discussed! See below for an answer key for the 2022 questions as well as the concepts tested on each problem.

1

A

geometry: areas and grids

2

D

arithmetic: operations and functions

3

E

number theory: factors and counting

4

E

geometry: symmetry and reflections

5

C

arithmetic: word problems and careful thinking

6

C

algebra: averages, ratios, and arithmetic sequences

7

B

algebra: unit conversions and rates

8

B

arithmetic: fractions and patterns

9

B

arithmetic: differences, averages, and patterns

10

E

algebra: motion, graphs, and slopes

11

D

algebra: sequences and patterns

12

B

counting and probability: probability with digits and perfect squares

13

D

algebra: careful thinking, equations, and patterns

14

D

counting and probability: arranging letters and putting letters into spaces

15

C

algebra: ratios and slopes

16

B

algebra: averages and sums

17

B

number theory: units digits and careful thinking

18

C

geometry: coordinates, rectangles, areas, and midpoints

19

C

arithmetic: medians and statistics

20

D

arithmetic: sums, equations, and logical thinking

21

C

algebra: fractions, percentages, and ratios

22

A

algebra: motions, rates, and tables

23

D

counting and probability: cases and symmetry

24

C

geometry: volumes, prisms, and nets

25

E

counting and probability: cases and careful thinking

This year’s AMC 8 problems are available on the ZIML site by clicking here (either as a Mock Exam or PDF). While you’re there, check out the Daily Magic Spells and Monthly Contests for extra practice!

The AMC 8 exam is administered by the Mathematical Association of America (MAA). For general information about the AMC 8, click here.