AMC8 Mock Test

What is the ones digit of 222,222 − 22,222 − 2,222 − 222 − 22 − 2?

What is the value of 44/11 + 110/44 + 44/1100 in decimal form?

Four squares with side lengths 4, 7, 9, and 10 units are arranged in increasing size order so their left edges and bottom edges align. The squares alternate shaded and unshaded as shown. What is the area of the visible shaded region, in square units?

Yunji added all the integers from 1 to 9 but accidentally left one out. Her incorrect sum was a square number. Which number did she leave out?

Aaliyah rolls two standard six-sided dice. Their product is a multiple of 6. Which sum of the two numbers cannot occur?

The marked lines in the figure show four skating paths around an ice rink, labeled P, Q, R, and S. What is their order from shortest to longest?

A 3 × 7 rectangle is tiled without overlap using 2 × 2 squares, 1 × 4 rectangles, and 1 × 1 squares. What is the minimum possible number of 1 × 1 tiles?

On Monday Taye has $2. Each day, he either gains $3 or doubles the money he had the previous day. How many different amounts could he have on Thursday, three days later?

Maria has red, green, and blue marbles. She has half as many red marbles as green marbles and twice as many blue marbles as green marbles. Which total number of marbles could she have?

In January 1980, Mauna Loa Observatory recorded a carbon dioxide level of 338 ppm. The average level has risen about 1.515 ppm each year. What level is expected in January 2030, rounded to the nearest integer?

Triangle ABC has coordinates A(5, 7), B(11, 7), and C(3, y), with y > 7. The area of triangle ABC is 12. What is y?

Rohan has 90 guppies in four tanks. The second tank has 1 more guppy than the first, the third has 2 more than the second, and the fourth has 3 more than the third. How many guppies are in the fourth tank?

Buzz Bunny hops up or down one stair at a time. In how many ways can Buzz start on the ground, make a sequence of 6 hops, and return to the ground without going below it?

The one-way routes connecting towns A, M, C, X, Y, and Z are shown, with distances marked in kilometers. What is the shortest route from A to Z?

The letters F, L, Y, B, U, and G are distinct digits. The greatest number FLYFLY satisfying 8 × FLYFLY = BUGBUG is used. What is FLY + BUG?

The integers 1 through 81 are placed in a 9 × 9 grid. What is the least number of rows and columns whose products are divisible by 3?

A white king and a black king occupy different squares of a 3 × 3 grid and do not attack each other. How many placements are possible? A king attacks horizontally, vertically, or diagonally adjacent squares.

Three concentric circles centered at O have radii 1, 2, and 3. The annulus between the two smaller circles is shaded, as is a sector of angle BOC in the larger annulus. If shaded and unshaded areas are equal, what is the measure of angle BOC?

Jordan owns 15 pairs of sneakers. Three fifths are red and two thirds are high-top. What is the least possible fraction of all pairs that are both red and high-top?

Any three vertices of the cube shown can form a triangle. How many equilateral triangles contain vertex P?

A group of frogs initially has a 3:1 ratio of green to yellow frogs. Then 3 green frogs move to the sunny side and 5 yellow frogs move to the shady side. The new green-to-yellow ratio is 4:1. What is the difference between the numbers of green and yellow frogs now?

A roll of tape has an outer diameter of 4 inches and an inner diameter of 2 inches. The tape is 0.015 inches thick. Approximately how long is the tape when unrolled, rounded to the nearest 100 inches?

A segment between lattice points (2000, 3000) and (5000, 8000) crosses grid cells whose interiors it intersects. How many cells will it cross?

A stained-glass design consists of two overlapping 45°–45°–90° mountain triangles with peak heights 8 feet and 12 feet. The combined artwork has area 183 square feet. Their sides intersect at a point h feet above the ground. What is h?

An airplane has 4 rows of 3 seats. Eight passengers occupy seats at random. What is the probability that two adjacent seats in the same row remain for a married couple boarding next?