From January 18th – 24th, thousands of middle school students participated in this year’s AMC 8 Competition. We were happy to be able to host a group of students for the exam!

Since testing is over, we can now discuss the problems! See below for an answer key for the 2024 questions as well as the concepts tested on each problem.

1

B

arithmetic: calculations and units digits

2

C

arithmetic: fractions and common factors

3

E

geometry: squares and differences of areas

4

E

arithmetic: sum of first n integers, squares, and careful thinking

5

B

arithmetic: sums, products, factors, and logical thinking

6

D

geometry and logic: distances and shortest path is a straight line

7

E

geometry and number sense: areas, remainders, and tilings

8

D

arithmetic: careful thinking and cases

9

E

arithmetic and number sense: ratios and multiples

10

B

arithmetic: calculations and linear growth

11

D

geometry: coordinates, triangles, and area

12

E

arithmetic: word problems and sums

13

B

counting and probability: Catalan numbers, counting, and cases

14

A

arithmetic and logic: shortest paths

15

C

arithmetic and number sense: place values, multiplying by 1001, and careful thinking

16

D

number sense and geometry: divisibility, careful thinking, and areas

17

E

counting and probability: careful thinking, cases, and counting

18

A

geometry: circles, areas, sectors, and areas

19

C

algebra: fractions, ratios, sums, and logical thinking

20

D

geometry: cubes, diagonals, and equilateral triangles

21

E

algebra: word problems and ratios

22

B

geometry: spatial reasoning, circles, rectangles, and areas

23

C

algebra: slopes, lines, counting, and patterns

24

B

geometry: special triangles and overlapping triangles

25

C

counting and probability: probability, cases, and complementary counting

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.