Core Academic Skills Assessment Math 5 — Questions and Answers
Question 1: A map uses a scale of 1 inch = 50 miles. Two cities are 3.8 inches apart on the map. What is the actual distance?
- 175 miles
- 185 miles
- 190 miles (Correct answer)
- 200 miles
Correct answer: 190 miles
3.8 × 50 = 190 miles.
Question 2: Solve for y: 4y/3 = 20
- y = 12
- y = 15 (Correct answer)
- y = 18
- y = 24
Correct answer: y = 15
Multiply both sides by 3 to get 4y = 60, then divide by 4 to get y = 15.
Question 3: What is the greatest common factor (GCF) of 48 and 72?
- 12
- 16
- 24 (Correct answer)
- 36
Correct answer: 24
The factors of 48 include 1,2,3,4,6,8,12,16,24,48; factors of 72 include 1,2,3,4,6,8,9,12,18,24,36,72; the greatest common factor is 24.
Question 4: A data set has a mean of 50 and a standard deviation of 5. Which value is exactly 2 standard deviations above the mean?
- 55
- 58
- 60 (Correct answer)
- 65
Correct answer: 60
2 standard deviations above the mean = 50 + 2(5) = 60.
Question 5: Which expression is equivalent to 3(2x − 4) − 2(x + 1)?
- 4x − 14 (Correct answer)
- 4x − 10
- 8x − 14
- 8x − 10
Correct answer: 4x − 14
6x − 12 − 2x − 2 = 4x − 14.
Question 6: A plot of land is shaped like a trapezoid with parallel sides of 30 ft and 50 ft, and a height of 20 ft. What is its area?
- 600 ft²
- 700 ft²
- 800 ft² (Correct answer)
- 1,000 ft²
Correct answer: 800 ft²
Area = ½ × (b₁ + b₂) × h = ½ × 80 × 20 = 800 ft².
Question 7: If 5 workers can complete a job in 12 days, how many days would it take 10 workers to complete the same job?
- 4 days
- 6 days (Correct answer)
- 8 days
- 10 days
Correct answer: 6 days
This is an inverse proportion: 5 × 12 = 10 × d → d = 6 days.
Core Academic Skills Assessment Math 5
A map uses a scale of 1 inch = 50 miles.
Two cities are 3.8 inches apart on the map.
What is the actual distance?