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 23rd, so now the problems can be discussed! See below for an answer key for the 2023 questions as well as the concepts tested on each problem.

1

D

arithmetic: calculations and order of operations

2

E

geometry: symmetry and spatial reasoning

3

B

arithmetic: conversions and calculations

4

D

patterns and number sense

5

B

arithmetic: ratios

6

C

arithmetic: exponents and multiplication

7

B

algebra: slopes and graphs

8

A

logic and careful thinking

9

B

algebra: intervals and interpreting graphs

10

D

arithmetic: fractions and calculations

11

C

algebra: speeds, unit conversions, and estimations

12

B

geometry: circles, areas, and ratios

13

D

algebra: fractions, ratios, and equations

14

E

arithmetic: coins, sums, and careful thinking

15

B

algebra: motion, rates, and average speed

16

C

algebra and geometry: sequences, patterns, and symmetry

17

A

geometry: 3D geometry, nets, and spatial reasoning

18

D

arithmetic and number theory: products and counting

19

C

geometry: equilateral triangles, areas, and similar triangles

20

D

arithmetic: modes, medians, ranges, and statistics

21

C

counting and probability: counting, sums, and careful thinking

22

D

algebra and number theory: sequences and factoring

23

C

counting and probability: probability and cases

24

A

geometry and algebra: isosceles triangles, areas, and similar triangles

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.