Assessment Strategies Flashcards
7 cards from real AMC 12 practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Assessment Strategies flashcards as text
Which integer is closest to √2026?
Answer: 45
45² = 2025, so √2026 is just above 45.
Your computed answer to a probability problem is 7/5. What is the best response?
Answer: Recheck the work, since a probability cannot exceed 1
A sanity check shows probabilities must lie between 0 and 1, so an error occurred.
Testing n = 1, 2, 3 gives 2, 4, 8 for the number of subsets of an n-element set. Which formula fits?
Answer: 2^n
The small cases double each time, matching 2^n.
P is any point inside an equilateral triangle with side length 2. What is the sum of the distances from P to the three sides?
Answer: √3
By Viviani's theorem the sum equals the altitude, which is √3; placing P at the center confirms it quickly.
What is the probability of getting at least one head in 4 fair coin flips?
Answer: 15/16
Complementary counting gives 1 − (1/2)⁴ = 15/16.
What is the remainder when 2^100 is divided by 7?
Answer: 2
2³ ≡ 1 (mod 7) and 100 = 3·33 + 1, so 2^100 ≡ 2.
A geometry problem involves a square with several midpoints and intersection points. Which technique is often most reliable under time pressure?
Answer: Place the square on a coordinate grid and compute directly
Coordinates turn midpoints and intersections into simple algebra.
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