Competition · AMC preparation · step 4 of 4

AMC 8 2024: all 25 problems

Each problem has a solution worked from first principles and the first grade (by CCSS standards) that can solve it.

AMC 8 2024 #1 grade 4+ arithmetic
What is the unit digit of: 222,222-22,222-2,222-222-22-2?
AMC 8 2024 #2 grade 5+ algebra
What is the value of this expression in decimal form? 44/11 + 110/44 + 44/1100
AMC 8 2024 #3 grade 3+ geometry-2d
Four squares of side length 4, 7, 9, and 10 are arranged in increasing size order so that their left edges and bottom ed…
AMC 8 2024 #4 grade 3+ geometry-2d
When Yunji added all the integers from 1 to 9, she mistakenly left out a number. Her incorrect sum turned out to be a sq…
AMC 8 2024 #5 grade 4+ number-theory
Aaliyah rolls two standard 6-sided dice. She notices that the product of the two numbers rolled is a multiple of 6. Whic…
AMC 8 2024 #6 grade 2+ arithmetic
Sergai skated around an ice rink, gliding along different paths. The gray lines in the figures below show four of the pa…
AMC 8 2024 #7 grade 4+ geometry-2d
A 3 × 7 rectangle is covered without overlap by 3 shapes of tiles: 2 × 2, 1×4, and 1×1, shown below. What is the minimum…
AMC 8 2024 #8 grade 4+ arithmetic
On Monday, Taye has $2. Every day, he either gains $3 or doubles the amount of money he had on the previous day. How man…
AMC 8 2024 #9 grade 4+ arithmetic
All the marbles in Maria's collection are red, green, or blue. Maria has half as many red marbles as green marbles, and…
AMC 8 2024 #10 grade 5+ arithmetic
In January 1980 the Mauna Loa Observatory recorded carbon dioxide (CO2) levels of 338 ppm (parts per million). Over the…
AMC 8 2024 #11 grade 6+ geometry-2d
The coordinates of △ ABC are A(5,7), B(11,7), and C(3,y), with y>7. The area of △ ABC is 12. What is the value of y?
AMC 8 2024 #12 grade 2+ arithmetic
Rohan keeps 90 guppies in 4 fish tanks. There is 1 more guppy in the 2nd tank than in the 1st tank. There are 2 more gup…
AMC 8 2024 #13 grade 2+ counting
Buzz Bunny is hopping up and down a set of stairs, one step at a time. In how many ways can Buzz Bunny start on the grou…
AMC 8 2024 #14 grade 2+ geometry-2d
The one-way routes connecting towns A,M,C,X,Y, and Z are shown in the figure below(not drawn to scale).The distances in…
AMC 8 2024 #15 grade 4+ algebra
Let the letters F,L,Y,B,U,G represent distinct digits. Suppose F L Y F L Y is the greatest number that satisfies the equ…
AMC 8 2024 #16 grade 4+ number-theory
Minh enters the numbers 1 through 81 into the cells of a 9 × 9 grid in some order. She calculates the product of the num…
AMC 8 2024 #17 grade 3+ geometry-2d
A chess king is said to attack all the squares one step away from it, horizontally, vertically, or diagonally. For insta…
AMC 8 2024 #18 grade 7+ geometry-2d
Three concentric circles centered at O have radii of 1, 2, and 3. Points B and C lie on the largest circle. The region b…
AMC 8 2024 #19 grade 4+ rate-ratio
Jordan owns 15 pairs of sneakers. Three fifths of the pairs are red and the rest are white. Two thirds of the pairs are…
AMC 8 2024 #20 grade 3+ geometry-3d
Any three vertices of the cube PQRSTUVW, shown in the figure below, can be connected to form a triangle. (For example, v…
AMC 8 2024 #21 grade 4+ rate-ratio
A group of frogs (called an army) is living in a tree. A frog turns green when in the shade and turns yellow when in the…
AMC 8 2024 #22 grade 7+ geometry-2d
A roll of tape is 4 inches in diameter and is wrapped around a ring that is 2 inches in diameter. A cross section of the…
AMC 8 2024 #23 grade 6+ rate-ratio
Rodrigo has a very large sheet of graph paper. First he draws a line segment connecting point (0,4) to point (2,0) and c…
AMC 8 2024 #24 grade 6+ geometry-2d
Jean has made a piece of stained glass art in the shape of two mountains, as shown in the figure below. One mountain pea…
AMC 8 2024 #25 grade 7+ probability
A small airplane has 4 rows of seats with 3 seats in each row. Eight passengers have boarded the plane and are distribut…

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