Practice AMC 8 - Test Information and Rules

Sep 29, 2026

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25-question, 40-minute multiple-choice math practice test for the Pacific Trails Math League. The questions are ordered roughly by difficulty, and no calculator is allowed. Permitted tools are pencils or pens, white paper, graph paper, rulers, compasses, and protractors. Problems cover topics such as unit digits and factorials, pricing and unit cost comparisons, arithmetic sequences, geometry with squares and trapezoids, probability from random turns, and word problems involving motion, areas, and algebraic equations.

LanguageEnglish

CategoryExam

FormatPDF

Pages6

Reading Time15 min

AccessFree to download

Test Information and Rules

Multiple choice format and allowed aids

Practice Questions

Practice AMC 8 Pacific Trails Math League Test Information and Rules: - This is a 25 problem, 40-minute multiple choice exam. - The questions are roughly in an order of difficulty. - You MAY NOT use a calculator. - The only aids allowed are: pencils/pens, white paper, graph paper, rulers, compasses, and protractors. 1. Tobey is buying office supplies. There are several deals offered: 1) 25 cents/pencil 2) $1 .60/6 pencils 3) 90 cents/3 pencils Tobey is looking for the best deal. Which one(s) should he buy? a. 1 b. 2 c. 3 d. 1 and 2 e. 2 and 3 2. Dean visits Mike’s Mighty Meats to buy sausages and pork chops. Sausages are $5/pound and pork chops are $3 .50/pound. If Dean buys two and a half pounds of sausages and 3 pounds of pork chops, what is his total cost? a. $8.50 b. $15.50 c. $20.50 d. $23.00 e. $23.75 3. When reading a book, Isabelle reads 4 more pages each day than the previous day. If she reads 23 pages on her first day, how many pages has she read by the end of her fourth day? a. 27 b. 92 c. 114 d. 116 e. 155 4. Geoff is driving home, but has forgotten the precise way. He simply knows he must take the next three turns, turning either right or left at each turn. If he randomly chooses which direction to go at each turn, what is the probability Geoff ends up at his house? a. ½ b. ¼ c. ⅛ d. ⅓ e. ⅔ 5. An bicycle air pump will pump out 24 cubic inches of air each second. Meanwhile, an electric air pump will pump out 2 cubic feet of air each second. How many bicycle air pumps will I need to match the output of one electric air pump? a. 12 b. 24 c. 48 d. 64 e. 144 6. In the figure below, ABC are 3 points of a square, and AB is 10. IfE is the center of that square and the line through E and D is perpendicular to AB, what is the area of the figure below? a. 60 b. 62.5 c. 63 d. 64 e. 75 7. Find the units digit of 9! a. 0 b. 2 c. 4 d. 6 e. 8 8. How many possible 3-digit numbers can be formed with distinct digits from 0 to 4? a. 46 b. 47 c. 48 d. 49 e. 50 9. At the farm, there are 2-legged chickens and 4-legged pigs in a pen. Sterling counts 21 total animal heads and 62 legs. How many chickens are there? a. 5 b. 8 c. 10 d. 11 e. 17 10. Garrett got a pet hamster on Friday, February 17, 2017. On what day of the week will his hamster be 703 days old? a. Monday b. Tuesday c. Wednesday d. Friday e. Sunday 11. Daniel walks leisurely to school at 5 ft/sec. Halfway there, he realizes that he forgot his math homework! He then fast walks back home at twice the speed, and from his home, he sprints to school at 3 times the speed. What is his average speed? a. 5 ft/sec b. ~~123~~ ft/sec c. ~~12~~5 ft/sec d. 10 ft/sec e. ~~ 11203~~ ft/sec 12. The tennis team is organizing to take a picture, however, they must be organized a specific way. There are two coaches who must stand at either end. There are 2 boys and 3 girls who must stand between the coaches. How many possible line-ups are there? a. 7 b. 12 c. 15 d. 18 e. 20 13. In the figure below, ABCD is an isosceles trapezoid, and CDEF is a square. A segment is drawn from point A to a point on CF, and the intersection point of the two lines is H. The intersection point between AH and CD is G. If angle GHF is 140 degrees and the angle ADC is 120 degrees, what is the sum of angles GAB + ABC? a. 100 b. 110 c. 120 d. 130 e. 140 14. A conical cup is being filled with water. If it is filled to exactly half of its height, what fraction of its volume is water? a. 12 b. 14 c. 16 d. 18 e. ~~116~~ 15. The mean, median, and unique mode of 2, 3, 5, 6, 6, 7, 10 and x are equal. What is x? a. 4 b. 5 c. 7 d. 9 e. 11 16. The first k terms of a sequence sum to k2. What is the 1000th term? a. 1997 b. 1998 c. 1999 d. 2000 e. 2001 17. Jan lives 3 blocks west and 1 block south of the southwest corner of a park. Her workplace is 3 blocks east and 4 blocks north of the northeast corner of the park. To get to work each day, she bikes fr

FAQs

How long is the AMC 8 practice test and how is it formatted?

It is a 25-problem, 40-minute multiple-choice exam.

Are calculators allowed?

No. You may not use a calculator.

What materials are allowed for solving the problems?

Allowed aids include pencils/pens, white paper, graph paper, rulers, compasses, and protractors.

Sep 29, 2026

Upload by Elsa