PARCC Grade 7 Math 2 — Questions and Answers
Question 1: A recipe uses 3 cups of flour for every 2 cups of sugar. How many cups of flour are needed for 5 cups of sugar?
- 6.5
- 7.5 (Correct answer)
- 8
- 10
Correct answer: 7.5
The ratio 3:2 means flour = (3/2) × 5 = 7.5 cups.
Question 2: What is the value of -8 + 5 × (-3)?
- -39
- -23 (Correct answer)
- -9
- 21
Correct answer: -23
Multiply first: 5 × (-3) = -15, then -8 + (-15) = -23.
Question 3: A jacket costs $80 and is on sale for 25% off. What is the sale price?
- $55
- $60 (Correct answer)
- $65
- $75
Correct answer: $60
25% of $80 is $20, so the sale price is $80 - $20 = $60.
Question 4: Solve for x: 3x - 7 = 14.
- 5
- 6
- 7 (Correct answer)
- 21
Correct answer: 7
Add 7 to get 3x = 21, then divide by 3 to get x = 7.
Question 5: A circle has a radius of 4 cm. What is its area? (Use π ≈ 3.14)
- 12.56 cm²
- 25.12 cm²
- 50.24 cm² (Correct answer)
- 100.48 cm²
Correct answer: 50.24 cm²
Area = πr² = 3.14 × 4² = 3.14 × 16 = 50.24 cm².
Question 6: Which expression is equivalent to 4(2x + 3)?
- 8x + 3
- 8x + 12 (Correct answer)
- 6x + 7
- 2x + 12
Correct answer: 8x + 12
Distribute 4 to both terms: 4 × 2x + 4 × 3 = 8x + 12.
Question 7: A spinner has 5 equal sections numbered 1 to 5. What is the probability of landing on an even number?
- 1/5
- 2/5 (Correct answer)
- 1/2
- 3/5
Correct answer: 2/5
Even numbers are 2 and 4, so the probability is 2/5.
A recipe uses 3 cups of flour for every 2 cups of sugar.
How many cups of flour are needed for 5 cups of sugar?