NJSLA Number Sense and Operations 1 — Questions and Answers
Question 1: What is the value of 3/4 + 1/6?
- 4/10
- 11/12 (Correct answer)
- 5/6
- 7/12
Correct answer: 11/12
Using a common denominator of 12: 9/12 + 2/12 = 11/12.
Question 2: Which of the following is equivalent to 0.75?
- 3/5
- 7/10
- 3/4 (Correct answer)
- 4/5
Correct answer: 3/4
0.75 = 75/100, which simplifies to 3/4.
Question 3: What is the value of 2⁵?
- 10
- 25
- 32 (Correct answer)
- 16
Correct answer: 32
2⁵ means 2 × 2 × 2 × 2 × 2 = 32.
Question 4: Which list shows the numbers in order from least to greatest: -3, 0.5, -0.5, 2?
- -3, -0.5, 0.5, 2 (Correct answer)
- 0.5, -0.5, -3, 2
- 2, 0.5, -0.5, -3
- -3, 0.5, -0.5, 2
Correct answer: -3, -0.5, 0.5, 2
On the number line, -3 < -0.5 < 0.5 < 2, so the correct order is -3, -0.5, 0.5, 2.
Question 5: What is the absolute value of -7?
- -7
- 1/7
- 7 (Correct answer)
- 49
Correct answer: 7
Absolute value represents distance from zero, so |-7| = 7.
Question 6: Which of the following numbers is a perfect square?
- 50
- 36 (Correct answer)
- 45
- 72
Correct answer: 36
36 = 6², making it a perfect square; the others have no integer square roots.
Question 7: What is the greatest common factor (GCF) of 24 and 36?
- 6
- 12 (Correct answer)
- 4
- 8
Correct answer: 12
The factors of 24 include 1, 2, 3, 4, 6, 8, 12, 24 and of 36 include 1, 2, 3, 4, 6, 9, 12, 18, 36; the greatest common factor is 12.
What is the value of 3/4 + 1/6?