SAT Practice Questions - 4

1. For how many positive integers, $n$, is true that $n^{2} \leq 3n$
   
   
   1. $2$
   2. $3$
   3. $4$
   4. $5$
   5. more than 5
   
   
2. If $a^{4}=16$, then $3^{a}$
   
   
   1. $3$
   2. $9$
   3. $16$
   4. $27$
   5. $81$
   
   
3. $\sqrt{20}\sqrt{5}=$
   
   
   1. $2\sqrt{5}$
   2. $10$
   3. $4\sqrt{5}$
   4. $5\sqrt{10}$
   5. $10\sqrt{5}$
   
   
   
4. The sum of three positive consecutive even integers is x.
   What is the value of the middle of the three integers?
   
   
   1. $\frac{x}{3}-1$
   2. $\frac{x}{3}+2$
   3. $3x$
   4. $\frac{x-2}{3}$
   5. $\frac{x}{3}$
   
   
5. What is the average of $5^{10}$, $5^{20}$, $5^{30}$, $5^{40}$ and $5^{50}$?
   
   
   1. $5^{9}+5^{19}+5^{29}+5^{39}+5^{49}$
   2. $5^{30}$
   3. $5^{149}$
   4. $150$
   5. $5^{29}$
   
   
6. Which of the following is equal to $(5^{6} \times 5^{9})^{10}$?
   
   
   1. $25^{150}$
   2. $25^{540}$
   3. $5^{540}$
   4. $5^{150}$
   5. $5^{15}$
   
   
7. What is the value of $3^{\frac{1}{3}} \times 3^{\frac{2}{3}} \times 3^{\frac{3}{3}}$?
   
   
   1. $3$
   2. $9$
   3. $27$
   4. $30$
   5. $81$
   
   
8. How many integers satisfy the inequality $|x| < 2 \pi$.
   
   
   1. $0$
   
   
   
   2. $3$
   
   
   
   3. $4$
   
   
   
   4. $7$
   
   
   
   5. More than $7$
   
   
   
9. What is the average of $5^{a} \times 5^{b}=5^{300}$
   
   
   1. $50$
   2. $100$
   3. $150$
   4. $200$
   5. $250$
   
   
10. If $5^{a}5^{b}=\frac{5^{c}}{5^{d}}$, what is d in terms of $a$, $b$ and $c$?
    
    
    1. $\frac{c}{a+b}$
    2. $c+ab$
    3. $c-a-b$
    4. $c+a-b$
    5. $\frac{b}{ac}$

    Answer Key

    1	B
    2	B
    3	B
    4	E
    5	A
    6	D
    7	B
    8	E
    9	C
    10	C