AMC 8 Diagnostic Test | Aviate Learning AMC 8 Diagnostic Test 15 Questions | No Calculator | 40 Minutes Time Remaining: 40:00 1. What is the ones digit of 222,222 − 22,222 − 2,222 − 222 − 22 − 2? A. 0 B. 2 C. 4 D. 6 E. 8 2. What is the value of (8 × 4 + 2) − (8 + 4 × 2)? A. 0 B. 6 C. 10 D. 18 E. 24 3. When Yunji added the integers from 1 through 9, she mistakenly left out one number. Her incorrect sum was a perfect square. Which number did she leave out? A. 5 B. 6 C. 7 D. 8 E. 9 4. Harold ate 1/4 of a pie. A moose ate 1/3 of what remained. A porcupine then ate 1/3 of what remained. What fraction of the original pie remained? A. 1/12 B. 1/6 C. 1/4 D. 1/3 E. 5/12 5. On Monday, Taye has $2. Each day he either gains $3 or doubles the money he had the previous day. How many different dollar amounts could Taye have on Thursday? A. 3 B. 4 C. 5 D. 6 E. 7 6. The digits 2, 0, 2, and 3 are placed into the boxes shown, one digit per box. What is the maximum possible value of the expression? A. 0 B. 8 C. 9 D. 16 E. 18 7. In a sequence of positive integers, each term after the second is the product of the previous two terms. The sixth term is 4000. What is the first term? A. 1 B. 2 C. 4 D. 5 E. 10 8. Four squares with side lengths 4, 7, 9, and 10 are arranged as shown. The squares alternate in color white–gray–white–gray. What is the area of the visible gray region? A. 42 B. 45 C. 49 D. 50 E. 52 9. A square piece of paper is folded twice and cut along the dashed line shown. Which figure is formed when the paper is unfolded? A B C D E 10. The coordinates of triangle ABC are A(5,7), B(11,7), and C(3,y), with y > 7. If the area of triangle ABC is 12, what is y? A. 8 B. 9 C. 10 D. 11 E. 12 11. The figure shows a large circle containing several smaller shaded and unshaded circles. What fraction of the area of the large circle is shaded? A. 1/4 B. 11/36 C. 1/3 D. 19/36 E. 5/9 12. Aaliyah rolls two six-sided dice. If the product of the numbers rolled is a multiple of 6, which sum is impossible? A. 5 B. 6 C. 7 D. 8 E. 9 13. Buzz Bunny hops up or down one step at a time. Starting on the ground, he makes exactly 6 hops and ends up back on the ground. How many different hop sequences are possible? A. 4 B. 5 C. 6 D. 8 E. 12 14. Four players play a ping-pong tournament. Each player plays every other player exactly twice. The win–loss records for three players are shown. What is Tiyo’s win–loss record? A. 000101 B. 001001 C. 010000 D. 010101 E. 011000 15. Greta Grasshopper is on a number line. She may jump 5 units right or 3 units left. What is the minimum number of jumps required to reach 2023? A. 405 B. 407 C. 409 D. 411 E. 413 Submit Test
