Math Flashcards
7 cards from real Core Academic Skills Assessment practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Math flashcards as text
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?
Answer: 190 miles
3.8 × 50 = 190 miles.
Solve for y: 4y/3 = 20
Answer: y = 15
Multiply both sides by 3 to get 4y = 60, then divide by 4 to get y = 15.
What is the greatest common factor (GCF) of 48 and 72?
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.
A data set has a mean of 50 and a standard deviation of 5. Which value is exactly 2 standard deviations above the mean?
Answer: 60
2 standard deviations above the mean = 50 + 2(5) = 60.
Which expression is equivalent to 3(2x − 4) − 2(x + 1)?
Answer: 4x − 14
6x − 12 − 2x − 2 = 4x − 14.
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?
Answer: 800 ft²
Area = ½ × (b₁ + b₂) × h = ½ × 80 × 20 = 800 ft².
If 5 workers can complete a job in 12 days, how many days would it take 10 workers to complete the same job?
Answer: 6 days
This is an inverse proportion: 5 × 12 = 10 × d → d = 6 days.
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