i-Ready Diagnostic Test Diagnostic Number and Operations 3 — Questions and Answers
Question 1: What is 15% of 200?
- 20
- 25
- 30 (Correct answer)
- 35
Correct answer: 30
15% of 200 = 0.15 × 200 = 30.
Question 2: If a bag contains 3 red, 5 blue, and 2 green marbles, what fraction of the marbles are blue?
- 1/2 (Correct answer)
- 3/10
- 5/10
- 5/8
Correct answer: 1/2
5 blue out of 10 total = 5/10 = 1/2.
Question 3: Which expression represents 'the product of 8 and a number n, decreased by 3'?
- 8 + n − 3
- 8n − 3 (Correct answer)
- 8(n − 3)
- 3 − 8n
Correct answer: 8n − 3
Product of 8 and n is 8n; decreased by 3 gives 8n − 3.
Question 4: A number is divisible by both 3 and 4. Which of these could be that number?
- 14
- 18
- 24 (Correct answer)
- 30
Correct answer: 24
24 ÷ 3 = 8 and 24 ÷ 4 = 6, so 24 is divisible by both.
Question 5: What is −8 + 5?
- 3
- −3 (Correct answer)
- −13
- 13
Correct answer: −3
Starting at −8 and moving 5 in the positive direction gives −3.
Question 6: In scientific notation, 45,000 is written as:
- 4.5 × 10⁴ (Correct answer)
- 45 × 10³
- 4.5 × 10³
- 0.45 × 10⁵
Correct answer: 4.5 × 10⁴
45,000 = 4.5 × 10,000 = 4.5 × 10⁴ in proper scientific notation.
Question 7: What is the value of √144?
- 11
- 12 (Correct answer)
- 13
- 14
Correct answer: 12
12 × 12 = 144, so √144 = 12.
