Indices & Probability

What is the index number?

(a)  

 $a\times\left(a^2\right)^9=$  

•  $a^{11}$  

•  $a^{12}$  

•  $a^{18}$  

•  $a^{19}$  

If

 $x\ =\ 3^2\times2^3$  , then  $x^4$  =

•  $3^6\times2^3$  

•  $3^6\times2^7$  

•  $3^8\times2^3$  

•  $3^8\times2^{12}$  

P(not A) = 
*Remember to simplify.*

• 6/8
• 3/4
• 2/8
• 1/4

What percent of people who play an instrument do not play a team sport?

• 80%
• 27.2%
• 40%
• 90.1%

 $\left(5^3\right)^n=\ 5^{ }\times5^{17}$  . What is the value of n?

• 6

• 14

• 15

• 20

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play football?

• ⁶⁶/₈₀

• ⁴/₈₀

• ¹⁸/₈₀

• ⁴⁹/₈₀

A coin is flipped 3 times, determine the probability of getting a head and a tail, ensuring your answer is as simplified as possible.

• 6/8
• 3/4
• 0/8
• 1/4

According to the two-way table, a person who plays an instrument is most likely to:

• Not play an instrument
• Not play a team sport
• Play a team sport
• All of the above

Find the probability that the spinner lands on Bonus Card when spun.

• 0.44

• 0.22

• 0.14

• 0.17