College Math Placement Test Arithmetic 3 — Questions and Answers
Question 1: What is the greatest common factor (GCF) of 36 and 48?
- 6
- 12 (Correct answer)
- 18
- 24
Correct answer: 12
Factors of 36: 1,2,3,4,6,9,12,18,36; factors of 48: 1,2,3,4,6,8,12,16,24,48; GCF = 12.
Question 2: Evaluate: |−9 + 3|
- −6
- 12
- 6 (Correct answer)
- −12
Correct answer: 6
−9 + 3 = −6, and |−6| = 6.
Question 3: A store marks up items by 30%. If an item costs $80 wholesale, what is the selling price?
- $104 (Correct answer)
- $110
- $96
- $100
Correct answer: $104
Markup = 30% × 80 = $24; selling price = 80 + 24 = $104.
Question 4: Which number is prime?
- 51
- 57
- 61 (Correct answer)
- 63
Correct answer: 61
61 has no factors other than 1 and itself; 51=3×17, 57=3×19, 63=9×7.
Question 5: Convert 3/7 to a decimal rounded to the nearest hundredth.
- 0.42
- 0.43 (Correct answer)
- 0.44
- 0.41
Correct answer: 0.43
3 ÷ 7 ≈ 0.4286, which rounds to 0.43.
Question 6: If a car travels 150 miles on 5 gallons of gas, how many miles per gallon does it get?
- 25 mpg
- 30 mpg (Correct answer)
- 35 mpg
- 20 mpg
Correct answer: 30 mpg
150 miles ÷ 5 gallons = 30 miles per gallon.
Question 7: What is 4³ − 2⁴?
- 48 (Correct answer)
- 52
- 56
- 60
Correct answer: 48
4³ = 64 and 2⁴ = 16; 64 − 16 = 48.
College Math Placement Test Arithmetic 3
What is the greatest common factor (GCF) of 36 and 48?