Numbers & Operations — Quiz 3

Questions in this quiz (10)

1. If $$p$$ and $$q$$ are odd integers, which of the following must be an odd integer?

   • $$p + q + 2$$
   • $$p(p + q)$$
   • $$\frac{p + q}{2}$$
   • $$p^q$$

2. Samantha was supposed to take the cube root of a number but instead accidentally cubed the number. What should Samantha do next to the current number to get the answer she originally intended?

   • Take the sixth root of the number.
   • Take the cube root of the number.
   • Cube the number again.
   • Raise the number to the power of $$\frac{1}{9}$$.

3. When $$2 \leq a \leq 8$$ and $$10 \leq b \leq 25$$, the largest possible value for the expression: $$\frac{a + b}{a}$$ is:

   • 12.5
   • 25
   • 13.5
   • 12

4. Which of the following has the greatest value when $$x=-\frac{1}{3}$$?

   • $$x^{-2}$$
   • $$-\frac{4}{9x}$$
   • $$9x^2$$
   • $$\frac{1}{27x}$$

5. Which of the following is an irrational number?

   • $$\sqrt{\frac{9}{16}}$$
   • $$-(\sqrt{2} \times \sqrt{2})$$
   • $$\sqrt{\frac{50}{200}}$$
   • None of the above

6. Which of the following must be even?I. The sum of 6 consecutive integersII. The sum of 9 consecutive integersIII. The product of 12 consecutive integers

   • Only II
   • Only III
   • Both I and III
   • Both I and II

7. The value of $$P$$ is given by the relation: $$P=14n.$$If $$n$$ is an integer greater than $$10$$ and less than $$18$$, then which of the following is the value of $$P$$?

   • $$196$$
   • $$234$$
   • $$212$$
   • $$214$$

8. A strictly positive integer is subtracted from its square. The result could be which of the following?

   • An odd integer
   • The product of two even integers
   • The product of two odd integers
   • The product of two consecutive integers

9. If the following numbers were ordered from smallest to largest, which would be in the third position?$$\left(\frac{3}{4}\right)^{-2},\quad \frac{1}{5},\quad \sqrt{10},\quad e,\quad \sqrt{5}$$

   • $$e$$
   • $$\sqrt{10}$$
   • $$\sqrt{5}$$
   • $$\frac{1}{5}$$

10. Which of the following is an irrational number?

    • $$\sqrt{\frac{64}{144}}$$
    • $$\sqrt{\frac{9}{25}}$$
    • $$\sqrt{49}$$
    • $$\sqrt{98}$$