Squid Game Math Bowl Round2

Let f(x) = a x^4 + b x^3 + c x^2 + c x + d be a polynomial with real coefficients. Suppose that f(1) = 10, f(2) = 20, f(3) = 30, and f(4) = 40. What is f(5)?

• 80

• 70

• 50

• 90

• 60

• 6

• 7

• 4

• 3

• 5

• 7

• 5

• 3

• 6

• 4

In a group of 30 people, each person shakes hands with every other person exactly once. How many handshakes occur in total?

• 400

• 450

• 465

• 420

• 435

A rectangle has a length of 10 units and a diagonal of 26 units. What is the width of the rectangle?

• 28

• 20

• 16

• 24

• 18

The sum of the squares of two positive numbers is 100, and the product of the two numbers is 24. What is the sum of the two numbers?

• 14

• 16

• 12

• 18

• 10

How many ways are there to arrange the letters in the word "BANANA" so that no two N's are adjacent?

• 20

• 50

• 60

• 30

• 40

The sequence a₁, a₂, a₃, . . . satisfies a₁ = 2 and aₙ₊₁ = 3aₙ + 4 for n ≥ 1. What is a₅?

• 602

• 482

• 362

• 722

• 242

Two lines with slopes 1/2 and 2 intersect at (2, 2). What is the area of the triangle enclosed by these two lines and the line x + y = 10?

• 6

• 4

• 8

• 4√2

• 6√2

Which of the following numbers is a perfect square?

• 2305

• 2025

• 2197

• 2057