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AMC 8 2025

25 Problems • Answer Key • 2 of 25 Solutions Available

2025 AMC 8 Practice Test

Take the complete 2025 AMC 8 as a timed practice test. You'll have 40 minutes to solve all 25 questions under realistic AMC conditions. Submit your test to see your score and review the answer key. Detailed solutions are being added progressively.

AMC 8 2025 (Problem 1)

1.
The eight-pointed star, shown in the figure below, is a popular quilting pattern. What percent of the entire 4×44\times4 grid is covered by the star?
AMC 8 2025 Problem 1 figure
(A)  40\text{(A)}\;40(B)  50\text{(B)}\;50(C)  60\text{(C)}\;60(D)  75\text{(D)}\;75(E)  80\text{(E)}\;80

Full solution coming soon

AMC 8 2025 (Problem 2)

2.
The table below shows the Ancient Egyptian hieroglyphs that were used to represent different numbers.
Ancient Egyptian hieroglyphs representing 100,000, 10,000, 1,000, 100, 10, and 1
For example, the number 32 was represented by the hieroglyphs ∩∩∩||. What number is represented by the following combination of hieroglyphs?
Combination of Ancient Egyptian hieroglyphs in AMC 8 2025 Problem 2
(A)  1,423\text{(A)}\;1,423(B)  10,423\text{(B)}\;10,423(C)  14,023\text{(C)}\;14,023(D)  14,203\text{(D)}\;14,203(E)  14,230\text{(E)}\;14,230

Full solution coming soon

AMC 8 2025 (Problem 3)

3.
Buffalo Shuffle-o is a card game in which all the cards are distributed evenly among all players at the start of the game. When Annika and 33 of her friends play Buffalo Shuffle-o, each player is dealt 1515 cards. Suppose 22 more friends join the next game. How many cards will be dealt to each player?
(A)  8\text{(A)}\;8(B)  9\text{(B)}\;9(C)  10\text{(C)}\;10(D)  11\text{(D)}\;11(E)  12\text{(E)}\;12

Full solution coming soon

AMC 8 2025 (Problem 4)

4.
Lucius is counting backward by 77s. His first three numbers are 100100, 9393, and 8686. What is his 1010th number?
(A)  30\text{(A)}\;30(B)  37\text{(B)}\;37(C)  42\text{(C)}\;42(D)  44\text{(D)}\;44(E)  47\text{(E)}\;47

Full solution coming soon

AMC 8 2025 (Problem 5)

5.
Betty drives a truck to deliver packages in a neighborhood whose street map is shown below. Betty starts at the factory (labled FF) and drives to location AA, then BB, then CC, before returning to FF. What is the shortest distance, in blocks, she can drive to complete the route?
AMC 8 2025 Problem 5 figure
(A)  20\text{(A)}\;20(B)  22\text{(B)}\;22(C)  24\text{(C)}\;24(D)  26\text{(D)}\;26(E)  28\text{(E)}\;28

Full solution coming soon

AMC 8 2025 (Problem 6)

6.
Sekou writes down the numbers 15,16,17,18,19.15, 16, 17, 18, 19. After he erases one of his numbers, the sum of the remaining four numbers is a multiple of 4.4. Which number did he erase?
(A)  15\text{(A)}\;15(B)  16\text{(B)}\;16(C)  17\text{(C)}\;17(D)  18\text{(D)}\;18(E)  19\text{(E)}\;19

Full solution coming soon

AMC 8 2025 (Problem 7)

7.
On the most recent exam on Prof. Xochi's class,
55 students earned a score of at least 95%95\%
1313 students earned a score of at least 90%90\%
2727 students earned a score of at least 85%85\%
5050 students earned a score of at least 80%80\% How many students earned a score of at least 80%80\% and less than 90%90\%?
(A)  8\text{(A)}\;8(B)  14\text{(B)}\;14(C)  22\text{(C)}\;22(D)  37\text{(D)}\;37(E)  45\text{(E)}\;45

Full solution coming soon

AMC 8 2025 (Problem 8)

8.
Isaiah cuts open a cardboard cube along some of its edges to form the flat shape shown on the right, which has an area of 1818 square centimeters. What is the volume of the cube in cubic centimeters?
AMC 8 2025 Problem 8 figure
(A)  33\text{(A)}\;3\sqrt{3}(B)  6\text{(B)}\;6(C)  9\text{(C)}\;9(D)  63\text{(D)}\;6\sqrt{3}(E)  93\text{(E)}\;9\sqrt{3}

Full solution coming soon

AMC 8 2025 (Problem 9)

9.
Ningli looks at the 66 pairs of numbers directly across from each other on a clock. She takes the average of each pair of numbers. What is the average of the resulting 66 numbers?
AMC 8 2025 Problem 9 figure
(A)  5\text{(A)}\;5(B)  6.5\text{(B)}\;6.5(C)  8\text{(C)}\;8(D)  9.5\text{(D)}\;9.5(E)  12\text{(E)}\;12

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AMC 8 2025 (Problem 10)

10.
In the figure below, ABCDABCD is a rectangle with sides of length AB=5AB = 5 inches and ADAD = 33 inches. Rectangle ABCDABCD is rotated 90∘90^\circ clockwise around the midpoint of side DCDC to give a second rectangle. What is the total area, in square inches, covered by the two overlapping rectangles?
AMC 8 2025 Problem 10 figure
(A)  21\text{(A)}\;21(B)  22.25\text{(B)}\;22.25(C)  23\text{(C)}\;23(D)  23.75\text{(D)}\;23.75(E)  25\text{(E)}\;25

Full solution coming soon

AMC 8 2025 (Problem 11)

11.
A tetromino\textit{tetromino} consists of four squares connected along their edges. There are five possible tetromino shapes, II, OO, LL, TT, and SS, shown below, which can be rotated or flipped over. Three tetrominoes are used to completely cover a 3×43\times4 rectangle. At least one of the tiles is an SS tile. What are the other two tiles?
AMC 8 2025 Problem 11 figure
(A)  I and L\text{(A)}\;\text{I and L}(B)  I and T\text{(B)}\;\text{I and T}(C)  L and L\text{(C)}\;\text{L and L}(D)  L and S\text{(D)}\;\text{L and S}(E)  O and T\text{(E)}\;\text{O and T}

Full solution coming soon

AMC 8 2025 (Problem 12)

12.
The region shown below consists of 24 squares, each with side length 1 centimeter. What is the area, in square centimeters, of the largest circle that can fit inside the region, possibly touching the boundaries?
AMC 8 2025 Problem 12 figure
(A)  3π\text{(A)}\;3\pi(B)  4π\text{(B)}\;4\pi(C)  5π\text{(C)}\;5\pi(D)  6π\text{(D)}\;6\pi(E)  8π\text{(E)}\;8\pi

Full solution coming soon

AMC 8 2025 (Problem 13)

13.
Each of the even numbers 2,4,6,…,502, 4, 6, \ldots, 50 is divided by 77. The remainders are recorded. Which histogram displays the number of times each remainder occurs?
AMC 8 2025 Problem 13 figure
(A)  Histogram A (see figure)\text{(A)}\;\text{Histogram A (see figure)}(B)  Histogram B (see figure)\text{(B)}\;\text{Histogram B (see figure)}(C)  Histogram C (see figure)\text{(C)}\;\text{Histogram C (see figure)}(D)  Histogram D (see figure)\text{(D)}\;\text{Histogram D (see figure)}(E)  Histogram E (see figure)\text{(E)}\;\text{Histogram E (see figure)}

Full solution coming soon

AMC 8 2025 (Problem 14)

14.
A number NN is inserted into the list 2,6,7,7,282, 6, 7, 7, 28. The mean is now twice as great as the median. What is NN?
(A)  7\text{(A)}\;7(B)  14\text{(B)}\;14(C)  20\text{(C)}\;20(D)  28\text{(D)}\;28(E)  34\text{(E)}\;34

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AMC 8 2025 (Problem 15)

15.
Kei draws a 66-by-66 grid. He colors 1313 of the unit squares silver and the remaining squares gold. Kei then folds the grid in half vertically, forming pairs of overlapping unit squares. Let mm and MM equal the least and greatest possible number of gold-on-gold pairs, respectively. What is the value of m+Mm+M?
AMC 8 2025 Problem 15 figure
(A)  12\text{(A)}\;12(B)  14\text{(B)}\;14(C)  16\text{(C)}\;16(D)  18\text{(D)}\;18(E)  20\text{(E)}\;20

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AMC 8 2025 (Problem 16)

16.
Five distinct integers from 11 to 1010 are chosen, and five distinct integers from 1111 to 2020 are chosen. No two numbers differ by exactly 1010. What is the sum of the ten chosen numbers?
(A)  95\text{(A)}\;95(B)  100\text{(B)}\;100(C)  105\text{(C)}\;105(D)  110\text{(D)}\;110(E)  115\text{(E)}\;115

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AMC 8 2025 (Problem 17)

17.
In the land of Markovia, there are three cities: AA, BB, and CC. There are 100100 people who live in AA, 120120 who live in BB, and 160160 who live in CC. Everyone works in one of the three cities, and a person may work in the same city where they live. In the figure below, an arrow pointing from one city to another is labeled with the fraction of people living in the first city who work in the second city. (For example, 14\frac{1}{4} of the people who live in AA work in BB.) How many people work in AA?
AMC 8 2025 Problem 17 figure
(A)  55\text{(A)}\;55(B)  60\text{(B)}\;60(C)  85\text{(C)}\;85(D)  115\text{(D)}\;115(E)  160\text{(E)}\;160

Full solution coming soon

AMC 8 2025 (Problem 18)

18.
The region between a circle of radius 1 and an inscribed square is shaded. Another circle has radius RR. A quarter of the region between this second circle and its inscribed square is shaded. If the two shaded regions have the same area, what is the value of RR?
AMC 8 2025 Problem 18 figure
(A)  2\text{(A)}\;\sqrt2(B)  2\text{(B)}\;2(C)  22\text{(C)}\;2\sqrt2(D)  4\text{(D)}\;4(E)  42\text{(E)}\;4\sqrt2

Full solution coming soon

AMC 8 2025 (Problem 19)

19.
Two towns, AA and BB, are connected by a straight road, 1515 miles long. Traveling from town AA to town BB, the speed limit changes every 55 miles: from 2525 to 4040 to 2020 miles per hour (mph). Two cars, one at town AA and one at town BB, start moving toward each other at the same time. They drive at exactly the speed limit in each portion of the road. How far from town AA, in miles, will the two cars meet?
AMC 8 2025 Problem 19 figure
(A)  7.75\text{(A)}\;7.75(B)  8\text{(B)}\;8(C)  8.25\text{(C)}\;8.25(D)  8.5\text{(D)}\;8.5(E)  8.75\text{(E)}\;8.75

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AMC 8 2025 (Problem 20)

20.
Sarika, Dev, and Rajiv are sharing a large block of cheese. They take turns cutting off half of what remains and eating it: first Sarika eats half of the cheese, then Dev eats half of the remaining half, then Rajiv eats half of what remains, then back to Sarika, and so on. They stop when the cheese is too small to see. About what fraction of the original block of cheese does Sarika eat in total?
(A)  47\text{(A)}\;\frac{4}{7}(B)  35\text{(B)}\;\frac{3}{5}(C)  23\text{(C)}\;\frac{2}{3}(D)  34\text{(D)}\;\frac{3}{4}(E)  78\text{(E)}\;\frac{7}{8}

Full solution coming soon

AMC 8 2025 (Problem 21)

21.
The Konigsberg School has assigned grades 1 through 7 to pods AA through GG, one grade per pod. Some of the pods are connected by walkways, as shown in the figure below. The school noticed that each pair of connected pods has been assigned grades differing by 2 or more grade levels. (For example, grades 1 and 2 will not be in pods directly connected by a walkway.) What is the sum of the grade levels assigned to pods C, E, and F?
AMC 8 2025 Problem 21 figure
(A)  12\text{(A)}\;12(B)  13\text{(B)}\;13(C)  14\text{(C)}\;14(D)  15\text{(D)}\;15(E)  16\text{(E)}\;16

Full solution coming soon

AMC 8 2025 (Problem 22)

22.
A classroom has a row of 35 coat hooks. Paulina likes coats to be equally spaced, so that there is the same number of empty hooks before the first coat, after the last coat, and between every coat and the next one. Suppose there is at least 1 coat and at least 1 empty hook. How many different numbers of coats can satisfy Paulina's pattern?
AMC 8 2025 Problem 22 figure
(A)  2\text{(A)}\;2(B)  4\text{(B)}\;4(C)  5\text{(C)}\;5(D)  7\text{(D)}\;7(E)  9\text{(E)}\;9

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AMC 8 2025 (Problem 23)

23.
How many four-digit numbers have all three of the following properties?
(I) The tens and ones digit are both 9.
(II) The number is 1 less than a perfect square.
(III) The number is the product of exactly two prime numbers.
(A)  0\text{(A)}\;0(B)  1\text{(B)}\;1(C)  2\text{(C)}\;2(D)  3\text{(D)}\;3(E)  4\text{(E)}\;4

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AMC 8 2025 (Problem 24)

Plane GeometryHard
24.
In trapezoid ABCDABCD, angles BB and CC measure 60∘60^\circ and AB=DCAB=DC. The side lengths are all positive integers, and the perimeter of ABCDABCD is 3030 units. How many non-congruent trapezoids satisfy all of these conditions?
Isosceles trapezoid ABCD with base angles B and C equal to 60 degrees
(A)  0\text{(A)}\;0(B)  1\text{(B)}\;1(C)  2\text{(C)}\;2(D)  3\text{(D)}\;3(E)  4\text{(E)}\;4

AMC 8 2025 (Problem 25)

CombinatoricsHard
25.
Makayla finds all the possible ways to draw a path in a 5×55\times5 diamond-shaped grid. Each path starts at the bottom of the grid and ends at the top, always moving one unit northeast or northwest. She computes the area of the region between each path and the right side of the grid. Two examples are shown in the figures below. What is the sum of the areas determined by all possible paths?
Two example paths in a 5 by 5 diamond-shaped grid with areas 11 and 13
(A)  2520\text{(A)}\;2520(B)  3150\text{(B)}\;3150(C)  3840\text{(C)}\;3840(D)  4730\text{(D)}\;4730(E)  5050\text{(E)}\;5050