The American Mathematics Competitions (AMC) are among the most popular math contests in the USA for middle and high school students. Similar to Olympiads in India, AMC tests logical reasoning, number sense, and problem-solving skills. Students often search for past papers and sample questions to prepare.
This 10-question practice set is designed in the style of AMC 8/10 for Class 8–10 students. Try solving them on your own before checking the answers at the end!
Instructions:
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Each question has 5 options (A–E).
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Only one correct answer.
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Try to solve without a calculator (as in real AMC exams).
1.
What is the value of 122−11212^2 – 11^2?
A) 11
B) 22
C) 23
D) 121
E) 133
2.
If 34\frac{3}{4} of a number is 24, what is the number?
A) 18
B) 24
C) 30
D) 32
E) 36
3.
How many even numbers are there between 201 and 301 (inclusive)?
A) 49
B) 50
C) 51
D) 52
E) 53
4.
The mean (average) of five numbers is 12. If one number is removed, the mean of the remaining numbers is 13. What is the number that was removed?
A) 7
B) 8
C) 10
D) 12
E) 15
5.
A square has perimeter 48 cm. What is the area of the square?
A) 64
B) 96
C) 144
D) 256
E) 576
6.
How many positive factors does 36 have?
A) 6
B) 7
C) 8
D) 9
E) 12
7.
A fair coin is tossed 3 times. What is the probability of getting exactly 2 heads?
A) 14\frac{1}{4}
B) 38\frac{3}{8}
C) 12\frac{1}{2}
D) 58\frac{5}{8}
E) 34\frac{3}{4}
8.
The sum of the first 20 natural numbers is:
A) 190
B) 200
C) 210
D) 220
E) 230
9.
A rectangular garden has length 30 m and width 20 m. A path of width 2 m is built inside along all four sides. What is the area of the path?
A) 92 m²
B) 104 m²
C) 192 m²
D) 200 m²
E) 212 m²
10.
The digits of a 2-digit number add up to 12. If the digits are reversed, the number increases by 18. What is the original number?
A) 39
B) 57
C) 66
D) 75
E) 84
Answer Key
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B) 22
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D) 32
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C) 51
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B) 8
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C) 144
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D) 9
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B) 38\frac{3}{8}
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C) 210
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C) 192 m²
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D) 75
Practicing AMC-style math problems is a great way to sharpen your problem-solving skills and prepare for international-level math contests. This set can help you build speed and accuracy for AMC, school-level Olympiads, and other math competitions.
Keep following TheCareergram.com for more practice papers in Science Olympiad, USACO (Computing Olympiad), Indian Olympiads, and TCS InQuizitive to boost your quiz prep!
