2003

2003 AMC8 Paper & Solutions Pick

25 questions with solutions, algebra focuses on equations, geometry covers basic shapes.

Sample Problems Download PDF

Scan to get free 2003 PDF + solutions

12 Sample Questions

40 Minutes

Max Score 25

No Calculator

Exam Overview

This exam emphasizes algebra, equations. Overall difficulty is moderate.

DDifficulty

EasyQ1-10
MediumQ11-20
HardQ21-25

TTopics

Algebra40%

Geometry30%

Number Theory15%

Combinatorics15%

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

2003 AMC8 Sample Problems (12 questions)

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

Q1EasyArithmetic

Calculate the value of 789-456.

A) 323

B) 343

C) 333

D) 353

E) 363

Steps

789-456=333

Answer: CBasic subtraction

Q4EasyRatio

If a:b=2:3 and b:c=6:5, then a:c=?

A) 2:5

B) 2:3

C) 4:3

D) 4:5

E) 6:5

Steps

Make b equal to 6: a=4, b=6, c=5

a:c=4:5

Answer: DUnify the middle term in a chained ratio

Q7EasyArea

A rectangle has length 15 and width 8. What is its area?

A) 120

B) 90

C) 100

D) 110

E) 130

Steps

15×8=120

Answer: AArea of a rectangle = length × width

Q9EasyDivisibility

How many multiples of 3 are there under 100?

A) 30

B) 31

C) 33

D) 32

E) 34

Steps

⌊100/3⌋=33

Answer: CNumber of multiples = ⌊n/k⌋

Q12MediumKey concept: equations

Buying 4 pens and 3 books costs 43 yuan in total, and each book costs 9 yuan. How much is each pen?

A) 3

B) 5

C) 6

D) 4

E) 7

Steps

4x+27=43→4x=16→x=4

Answer: DSet up an equation and solve

Q14MediumArea

What is the sum of the interior angles of a regular pentagon?

A) 360

B) 480

C) 540

D) 600

E) 720

Steps

(5-2)×180=540

Answer: CSum of interior angles of an n-gon = (n-2)×180

Q16MediumProbability

What is the probability of rolling a number greater than 4 on a die?

A) 1/3

B) 1/6

C) 1/4

D) 1/2

E) 2/3

Steps

5 and 6 are the two outcomes, 2/6=1/3

Answer: AClassical probability

Q18MediumNumber Theory

What is the least common multiple of 36 and 48?

A) 96

B) 120

C) 168

D) 144

E) 192

Steps

36=2²×3², 48=2⁴×3

LCM=2⁴×3²=144

Answer: DTake the highest power of each prime

Q21HardKey concept: permutations

Four people A, B, C, D sit around a round table. How many ways are there?

A) 6

B) 4

C) 8

D) 12

E) 24

Steps

Circular permutations=(4-1)!=6

Answer: ACircular permutation formula

Q22HardArea

An equilateral triangle has side length 8. What is its area? (√3≈1.73)

A) 27.68

B) 16

C) 24

D) 32

E) 36

Steps

(√3/4)×64=16√3≈27.68

Answer: AArea formula for an equilateral triangle

Q24HardNumber Theory

Find the sum of all the distinct prime factors of 999,999.

A) 30

B) 40

C) 50

D) 60

E) 71

Steps

999999 = 3³ × 7 × 11 × 13 × 37

Distinct prime factors: 3, 7, 11, 13, 37

Sum = 3 + 7 + 11 + 13 + 37 = 71

Answer: EFirst factor into primes, then sum the distinct prime factors

Q25HardCombinatorics

Choosing a chairperson and a vice-chairperson from 10 people, how many ways are there?

A) 45

B) 72

C) 80

D) 100

E) 90

Steps

P(10,2)=10×9=90

Answer: EPermutation (order matters)

Get Full 2003 AMC8 Exam + Solutions

Scan the QR code below to get free 2003 PDF + solutions

2003 AMC8 Paper & Solutions Pick

Scan to get free 2003 PDF + solutions

Exam Overview

DDifficulty

TTopics

AAwards

2003 AMC8 Sample Problems (12 questions)

Steps

Steps

Steps

Steps

Steps

Steps

Steps

Steps

Steps

Steps

Steps

Steps

Get Full 2003 AMC8 Exam + Solutions

All Years Navigation

Contact Us