Math Flashcards
7 cards from real AMCAT 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
What is the sum of the interior angles of a hexagon?
Answer: 720°
Sum of interior angles = (n-2) × 180° = (6-2) × 180° = 720°.
A number when divided by 5 gives a remainder of 3. What is the remainder when the square of that number is divided by 5?
Answer: 4
If n ≡ 3 (mod 5), then n² ≡ 9 ≡ 4 (mod 5).
The simple interest on a sum for 3 years at 8% per annum is $720. What is the principal?
Answer: $3,000
SI = PRT/100; 720 = P × 8 × 3/100; P = 72000/24 = $3,000.
Two numbers are in the ratio 5:7. If their LCM is 140, what is their sum?
Answer: 48
Numbers = 5k and 7k; LCM = 35k = 140, so k = 4; numbers = 20 and 28; sum = 20 + 28 = 48.
If f(x) = x² - 3x + 2, what is f(4)?
Answer: 6
f(4) = 16 - 12 + 2 = 6.
A circle has a circumference of 44 cm. What is its area? (Use π = 22/7)
Answer: 154 cm²
C = 2πr = 44, so r = 7; Area = πr² = (22/7) × 49 = 154 cm².
In a group of 100 students, 60 study Math and 50 study Science. If 30 study both, how many study neither?
Answer: 20
Students studying Math or Science = 60 + 50 - 30 = 80; students studying neither = 100 - 80 = 20.