State Test Practice Mathematics 2 — Questions and Answers
Question 1: What is the greatest common factor (GCF) of 24 and 36?
- 6
- 8
- 12 (Correct answer)
- 4
Correct answer: 12
The factors of 24 include 12, and the factors of 36 include 12; 12 is the greatest common factor.
Question 2: A store is offering a 25% discount on a $80 jacket. What is the sale price?
- $55
- $60 (Correct answer)
- $65
- $70
Correct answer: $60
25% of $80 = $20 discount, so $80 − $20 = $60.
Question 3: Which property is illustrated by 4 × (3 + 2) = 4 × 3 + 4 × 2?
- Commutative property
- Associative property
- Distributive property (Correct answer)
- Identity property
Correct answer: Distributive property
The distributive property states that multiplying a number by a sum equals the sum of the individual products.
Question 4: What is the perimeter of a square with a side length of 7 inches?
- 14 inches
- 21 inches
- 28 inches (Correct answer)
- 49 inches
Correct answer: 28 inches
Perimeter of a square = 4 × side = 4 × 7 = 28 inches.
Question 5: On a number line, which number is the greatest?
- -5
- -1
- 0 (Correct answer)
- -3
Correct answer: 0
On a number line, numbers increase from left to right, so 0 is greater than any negative number listed.
Question 6: What is the least common multiple (LCM) of 4 and 6?
- 24
- 12 (Correct answer)
- 8
- 2
Correct answer: 12
Multiples of 4: 4, 8, 12… and multiples of 6: 6, 12…; the smallest shared multiple is 12.
State Test Practice Mathematics 2
What is the greatest common factor (GCF) of 24 and 36?