AMCAT Math 4

Question 1

What is the sum of the interior angles of a hexagon?

Accepted Answer

720°

Answer

Sum of interior angles = (n-2) × 180° = (6-2) × 180° = 720°.

Question 2

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?

Accepted Answer

4

Answer

If n ≡ 3 (mod 5), then n² ≡ 9 ≡ 4 (mod 5).

Question 3

The simple interest on a sum for 3 years at 8% per annum is $720. What is the principal?

Accepted Answer

$3,000

Answer

SI = PRT/100; 720 = P × 8 × 3/100; P = 72000/24 = $3,000.

Question 4

Two numbers are in the ratio 5:7. If their LCM is 140, what is their sum?

Accepted Answer

48

Answer

Numbers = 5k and 7k; LCM = 35k = 140, so k = 4; numbers = 20 and 28; sum = 20 + 28 = 48.

Question 5

If f(x) = x² - 3x + 2, what is f(4)?

Accepted Answer

6

Answer

f(4) = 16 - 12 + 2 = 6.

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