i-Ready Diagnostic Test Math Concepts and Applications 3 — Questions and Answers
Question 1: A bag contains 4 red marbles, 6 blue marbles, and 2 green marbles. What is the probability of randomly drawing a blue marble?
- 1/2 (Correct answer)
- 1/3
- 1/6
- 2/3
Correct answer: 1/2
There are 6 blue out of 12 total marbles: 6/12 = 1/2.
Question 2: What is 15% of 200?
- 25
- 30 (Correct answer)
- 35
- 20
Correct answer: 30
15% of 200 = 0.15 × 200 = 30.
Question 3: If the pattern is 2, 6, 18, 54, ..., what is the next number?
- 108
- 162 (Correct answer)
- 72
- 216
Correct answer: 162
Each term is multiplied by 3: 54 × 3 = 162.
Question 4: A recipe calls for 2½ cups of flour. If you want to make 3 batches, how many cups of flour do you need?
- 6 cups
- 6½ cups
- 7 cups
- 7½ cups (Correct answer)
Correct answer: 7½ cups
2½ × 3 = 5/2 × 3 = 15/2 = 7½ cups.
Question 5: What is the least common multiple (LCM) of 4 and 6?
- 8
- 12 (Correct answer)
- 18
- 24
Correct answer: 12
The LCM of 4 and 6 is 12, the smallest number divisible by both.
Question 6: A car travels 240 miles in 4 hours. What is its average speed?
- 50 mph
- 55 mph
- 60 mph (Correct answer)
- 65 mph
Correct answer: 60 mph
Speed = distance ÷ time = 240 ÷ 4 = 60 mph.
Question 7: Which expression is equivalent to 4(x + 3)?
- 4x + 3
- 4x + 7
- 4x + 12 (Correct answer)
- x + 12
Correct answer: 4x + 12
Using the distributive property: 4(x + 3) = 4x + 12.
i-Ready Diagnostic Test Math Concepts and Applications 3
A bag contains 4 red marbles, 6 blue marbles, and 2 green marbles.
What is the probability of randomly drawing a blue marble?