2001

2001 AMC8 Paper & Solutions Pick

25 questions with solutions, early AMC8 exam, classic problem types.

Sample Problems Download PDF

Scan to get free 2001 PDF + solutions

12 Sample Questions

40 Minutes

Max Score 25

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Exam Overview

This exam emphasizes multiple math topics. Overall difficulty is relatively basic.

DDifficulty

EasyQ1-10
MediumQ11-20
HardQ21-25

TTopics

Algebra35%

Geometry30%

Number Theory15%

Combinatorics20%

AAwards

Distinguished Honor Roll

Distinguished Honor Roll (Top 1%)

18+

Honor Roll

Honor Roll (Top 5%)

14+

Achievement Roll

Grade 6 and below · 15+ points

15+

Sample Problems

2001 AMC8 Sample Problems (12 questions)

Sample reference problems by difficulty — click an option to check your answer

Q1EasyArithmetic

Calculate the value of 500-247.

A) 243

B) 247

C) 257

D) 253

E) 263

Steps

500-247=253

Answer: DSubtraction with borrowing

Q3EasyKey concept: fractions

1/3+1/6=?

A) 1/9

B) 1/4

C) 1/2

D) 1/3

E) 2/3

Steps

2/6+1/6=3/6=1/2

Answer: CFind a common denominator, then add

Q5EasyArea

What is the area of a square with side length 7?

A) 14

B) 28

C) 49

D) 42

E) 56

Steps

7²=49

Answer: CArea of a square

Q8EasyApply the relevant mathematical concept

What is the mean of the data 3, 5, 7, 5, 10?

A) 5

B) 7

C) 8

D) 6

E) 9

Steps

(3+5+7+5+10)/5=30/5=6

Answer: DSum ÷ count

Q11MediumKey concept: equations

Two numbers have a sum of 30 and a difference of 6. What is their product?

A) 189

B) 196

C) 200

D) 216

E) 225

Steps

a+b=30, a-b=6

a=18, b=12

product=216

Answer: DSum-and-difference problem

Q14MediumKey concept: triangles

Two angles of a triangle are 60° and 80°. What is the third angle?

A) 30°

B) 50°

C) 60°

D) 40°

E) 70°

Steps

180-60-80=40°

Answer: DThe angles of a triangle sum to 180°

Q16MediumProbability

A number is chosen at random from 1 to 8. What is the probability of getting an even number?

A) 1/4

B) 1/3

C) 3/8

D) 5/8

E) 1/2

Steps

There are 4 even numbers: 2, 4, 6, 8

4/8=1/2

Answer: EBasic probability

Q18MediumNumber Theory

What is the greatest common divisor of 24 and 36?

A) 6

B) 8

C) 10

D) 12

E) 18

Steps

24=2³×3, 36=2²×3²

GCD=2²×3=12

Answer: DCommon factors

Q21HardArea

A right triangle has a hypotenuse of 17 and one leg of 8. What is its area?

A) 60

B) 48

C) 54

D) 68

E) 72

Steps

the other leg=√(289-64)=√225=15

area=1/2×8×15=60

Answer: A8-15-17 Pythagorean triple

Q22HardKey concept: permutations

Five people A, B, C, D, E are arranged in a row, with A required to be in front of B. How many arrangements are there?

A) 30

B) 60

C) 48

D) 72

E) 120

Steps

total 5!=120

A in front of B=120/2=60

Answer: BSymmetry

Q24HardNumber Theory

How many zeros are at the end of 1×2×3×...×10?

A) 1

B) 3

C) 4

D) 5

E) 2

Steps

Power of 5 in 10!: ⌊10/5⌋=2

2 zeros at the end

Answer: ELegendre's formula

Q25HardCombinatorics

From 6 boys and 5 girls, 4 people are chosen with at least 2 girls. How many ways are there?

A) 135

B) 155

C) 175

D) 195

E) 215

Steps

total ways C(11,4)=330

0 girls (all boys) C(6,4)=15

1 girl C(5,1)×C(6,3)=5×20=100

at least 2 girls = 330 − 15 − 100 = 215

Answer: EComplement method: subtract the cases that do not satisfy the condition from the total

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2001 AMC8 Paper & Solutions Pick

Scan to get free 2001 PDF + solutions

Exam Overview

DDifficulty

TTopics

AAwards

2001 AMC8 Sample Problems (12 questions)

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