MMC Excerpts

[EASY 1] If $$f(x) = 3 - 2x - x^3$$ , what is $$f(-2)$$ ?

(a)  

[EASY 2] One number is three times another number, and their sum is 5/2. By how much does the larger number

exceed the smaller number?

(a)  

[EASY 3] What is the area of the circle with equation $$x^2 + y^2 - 2x = 4$$ (in square units)?

(a)  

[EASY 4] When a polynomial is divided by $$x + 2$$ , the quotient is $$x - 3$$ and the remainder is $$-2$$ . What is the remainder when the polynomial is divided by $$x+1$$ ?

(a)  

[EASY 5] What is the slope of the line tangent to the circle $$x^2 + y^2 = 10$$ at the point $$(-1, -3)$$ ?

(a)  

[EASY 6] If $$\sqrt{2x - 2} = 10$$ , what is $$\sqrt{x-2}$$ ?

(a)  

[EASY 7] If $$1 + 2 + 3 + \cdots + n = 78$$ , what is $$n$$ ?

(a)  

[EASY 8] From 12 noon to 3:40 PM, how many degrees does the tip of the hour hand travel?

(a)  

[EASY 9] What is the probability that three randomly chosen people were born on three different days of the week?

(a)  

[EASY 10] What is the radius of the circle inscribed in a $$15-20-25$$ triangle?

(a)