College Math Placement Test College Math Placement Basic Math 2 — Questions and Answers
Question 1: What is the least common multiple (LCM) of 8 and 12?
- 16
- 24 (Correct answer)
- 48
- 96
Correct answer: 24
The LCM of 8 and 12 is 24 because 24 is the smallest number divisible by both 8 and 12.
Question 2: Simplify: 3/4 ÷ 9/16
- 4/3 (Correct answer)
- 27/64
- 3/4
- 12/9
Correct answer: 4/3
Dividing fractions means multiplying by the reciprocal: 3/4 × 16/9 = 48/36 = 4/3.
Question 3: A store sells a jacket for $85 after applying a 15% discount. What was the original price?
- $97.75
- $100.00 (Correct answer)
- $97.50
- $100.17
Correct answer: $100.00
If $85 is 85% of the original price, then the original price = $85 ÷ 0.85 = $100.
Question 4: What is the value of |−17| + |5|?
- −12
- 12
- 22 (Correct answer)
- −22
Correct answer: 22
Absolute value gives the non-negative magnitude, so |−17| = 17 and |5| = 5, giving 17 + 5 = 22.
Question 5: Which of the following is equivalent to 0.008?
- 8/10
- 8/100
- 8/1000 (Correct answer)
- 8/10000
Correct answer: 8/1000
0.008 is read as 'eight thousandths,' which equals 8/1000.
Question 6: If a recipe calls for 2½ cups of flour and you want to make 1.5 times the recipe, how many cups do you need?
- 3 cups
- 3¼ cups
- 3½ cups
- 3¾ cups (Correct answer)
Correct answer: 3¾ cups
2.5 × 1.5 = 3.75 cups, which equals 3¾ cups.
Question 7: What is the greatest common factor (GCF) of 36 and 48?
- 6
- 9
- 12 (Correct answer)
- 18
Correct answer: 12
The factors of 36 include 1,2,3,4,6,9,12,18,36 and factors of 48 include 1,2,3,4,6,8,12,16,24,48; the greatest common factor is 12.
College Math Placement Test College Math Placement Basic Math 2
What is the least common multiple (LCM) of 8 and 12?