Math Number Sense and Operations 5 — Questions and Answers
Question 1: What is the greatest common factor (GCF) of 36 and 48?
- 6
- 9
- 12 (Correct answer)
- 18
Correct answer: 12
The largest number that divides both 36 and 48 evenly is 12.
Question 2: A recipe calls for 2 1/3 cups of flour. If you triple the recipe, how many cups of flour do you need?
- 6 1/3
- 6 2/3
- 7 (Correct answer)
- 7 1/3
Correct answer: 7
2 1/3 × 3 = 7/3 × 3 = 7 cups.
Question 3: Which number has the greatest absolute value?
- -15 (Correct answer)
- 12
- -8
- 14
Correct answer: -15
|-15| = 15, which is greater than 14, 12, and 8.
Question 4: What is 3/8 expressed as a decimal?
- 0.275
- 0.375 (Correct answer)
- 0.385
- 0.425
Correct answer: 0.375
3 ÷ 8 = 0.375.
Question 5: If a number is divisible by both 3 and 4, it must also be divisible by:
- 7
- 8
- 12 (Correct answer)
- 24
Correct answer: 12
A number divisible by both 3 and 4 must be divisible by their LCM, which is 12.
Question 6: What is the value of (-4)³?
- 12
- -12
- 64
- -64 (Correct answer)
Correct answer: -64
(-4)³ = (-4) × (-4) × (-4) = 16 × (-4) = -64.
Question 7: Which fraction is equivalent to 0.6̄ (0.666...)?
- 3/5
- 2/3 (Correct answer)
- 5/8
- 7/10
Correct answer: 2/3
0.666... is the decimal expansion of 2/3.
What is the greatest common factor (GCF) of 36 and 48?