Online AMC 8 Test

AMC8 Entrance Test

Answer all questions to see your placement result.

10 Questions Time Limit: 20 minutes Multiple Choice
0 of 10 answered
Time Remaining: 20:00
Question 1
The sum of two prime numbers is 8. What is the product of these two prime numbers?
Question 2
The twelve-sided figure has been drawn on 1cm×1cm graph paper. What is the area of the figure in square centimeters?
Twelve-sided figure on graph paper
Question 3
Candy sales of the Boosters Club from January to April are shown in the graph. What are the average sales per month?
Candy sales bar graph January to April
Question 4
Find the product of the 9 factors:
(1−1/2) × (1−1/3) × (1−1/4) × ... × (1−1/9) × (1−1/10)
Question 5
The sum of 7 consecutive even integers is 154. What is the largest of these 7 consecutive integers?
Question 6
What is the greatest 3-digit positive integer whose digits have a product of 24?
Question 7
The faces of each of two fair dice are numbered 1, 2, 3, 5, 7 and 8. When the two dice are tossed, what is the probability that their sum will be an even number?
Question 8
Quadrilateral ABCD is a trapezoid, AD = 15, AB = 50, BC = 20, and the height is 12. What is the area of the trapezoid?
Trapezoid ABCD diagram
Question 9
A straight one-mile stretch of highway, 40 feet wide, is closed. Robert rides his bike on a path composed of semicircles as shown. If he rides at 5 miles per hour, how many hours will it take to cover the one-mile stretch? (Note: part of the bike route is shown below; 1 mile = 5280 feet.)
Bike path of semicircles along highway
Question 10
There are 3 boys and 2 girls in the classroom. Now these 5 people line up in a row. If it is required that the 2 girls cannot be adjacent, how many ways are there to line them up?
0
out of 10
Result
Score RangePlacement Guidance
0–4 pointsThe course may be challenging at the current level. Additional foundational preparation is recommended to help the student transition into the course more smoothly.
5–7 pointsThe student has a developing foundation and, with consistent effort and practice, can build toward stronger competition performance.
8–10 pointsThe student demonstrates a strong foundation and good potential to pursue higher-level competition results, including HR or DHR distinction.

PS: Placement is based on the result of the first entrance test taken, unless special circumstances apply.