2002

2002 AMC8 Paper & Solutions Pick

25 questions with solutions, early exam, good for beginners.

Sample Problems Download PDF

Scan to get free 2002 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 moderate.

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

2002 AMC8 Sample Problems (12 questions)

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

Q1EasyArithmetic

Calculate the value of 15×6.

A) 70

B) 75

C) 80

D) 90

E) 85

Steps

15×6=90

Answer: DBasic multiplication

Q4EasyRatio

What is 3/4 of 20?

A) 12

B) 14

C) 16

D) 15

E) 18

Steps

20×3/4=15

Answer: DFraction multiplication

Q6EasyArea

What is the area of a triangle with base 8 and height 5?

A) 13

B) 20

C) 30

D) 40

E) 60

Steps

1/2×8×5=20

Answer: BArea of a triangle

Q9EasyAverage

The average of 4 numbers is 18. What is their sum?

A) 72

B) 36

C) 54

D) 63

E) 80

Steps

18×4=72

Answer: AAverage × count = sum

Q11MediumKey concept: equations

Four times x minus 10 equals two times x plus 6. What is x?

A) 8

B) 4

C) 6

D) 10

E) 12

Steps

4x-10=2x+6→2x=16→x=8

Answer: AMove terms and combine

Q14MediumArea

What is the area of a circle with diameter 20? (π≈3.14)

A) 113.04

B) 254.34

C) 400

D) 1256

E) 314

Steps

r=10, π×100=314

Answer: EArea of a circle = πr²

Q16MediumProbability

What is the probability of getting heads on both when tossing 2 coins?

A) 1/2

B) 1/3

C) 1/6

D) 1/8

E) 1/4

Steps

1/2×1/2=1/4

Answer: EIndependent events

Q19MediumNumber Theory

How many positive divisors does 60 have?

A) 10

B) 12

C) 14

D) 16

E) 18

Steps

60=2²×3×5

(2+1)(1+1)(1+1)=12

Answer: BFormula for the number of divisors

Q21HardArea

What is the area of a square with diagonal 8?

A) 16

B) 24

C) 48

D) 64

E) 32

Steps

Area=8²/2=32

Answer: EArea of a square = diagonal²/2

Q22HardKey concept: permutations

In how many ways can 2 people be chosen from 6?

A) 10

B) 12

C) 20

D) 30

E) 15

Steps

C(6,2)=15

Answer: ECombinations

Q24HardLogic

A>B, CD. Who is the largest?

A) B

B) C

C) A

D) D

E) Cannot be determined

Steps

A>B>D>C

A is the largest

Answer: CTransitivity

Q25HardCombinatorics

Choose 2 numbers from 1 to 20 whose sum is odd. How many ways?

A) 90

B) 95

C) 105

D) 100

E) 110

Steps

10 odd, 10 even

One odd and one even = 10×10=100

Answer: DFor the sum to be odd, you need one odd and one even number

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2002 AMC8 Paper & Solutions Pick

Scan to get free 2002 PDF + solutions

Exam Overview

DDifficulty

TTopics

AAwards

2002 AMC8 Sample Problems (12 questions)

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