Free Printable Q2 Exam review

1.

There are 6 routes for journey from station A to station B. In how many ways can you go from A to B and return if for returning you make a choice of any of the routes?

a)

6

b)

12

c)

36

d)

30

2.

There are 6 routes for a journey from station A to station B. In how many ways can you go from A to B and return if you decide to take the same route to go and return?

a)

6

b)

12

c)

36

d)

30

3.

There are 6 routes for a journey from station A to B. In how many ways may you go from A to B and return if you cannot return on the same route.

a)

6

b)

12

c)

36

d)

30

4.

How many numbers higher than 1,000,000 can be formed with the digits 0, 4, 4, 5, 5, 5, 3

a)

420

b)

360

c)

7!

d)

6!

5.

How many arrangements can be made with the letters from the word "MATHEMATICS"

a)

$\frac{11!}{\left(2!\right)^3}$

b)

$\frac{11!}{\left(2!\right)^2}$

c)

11!

d)

$\frac{11!}{6!}$

6.

In how many ways of the word "MATHEMATICS" be arranged so that the vowels occur together?

a)

$\frac{11!}{\left(2!\right)^3}$

b)

$\frac{\left(8!\times4!\right)}{\left(2!\right)^3}$

c)

$\frac{12!}{\left(2!\right)^3}$

d)

$12!-\left(2!\right)^3$

7.

If

\ \frac{_7P_n}{\ _7P_{n-3}}=60

a)

8

b)

4

c)

5

d)

2

8.

If $\frac{\ _nC_6}{\ _{n-2}C_3}=\frac{91}{4}$ then what is the value of n?

a)

15

b)

14

c)

13

d)

None

9.

A two-digit number is chosen at random. What is the probability that the chosen number is a multiple of 7?

a)

\frac{1}{10}

b)

$\frac{1}{9}$

c)

$\frac{11}{90}$

d)

$\frac{12}{90}$

e)

$\frac{13}{90}$

10.

Using a six-sided die, Carlin has rolled a six on each of 4 successive tosses. What is the probability of Carlin rolling a six on the next toss?

a)

\frac{1}{2}

b)

$\frac{1}{4}$

c)

$\frac{1}{6}$

d)

$\frac{1}{30}$

e)

$\frac{1}{3125}$

11.

A regular deck of cards has 52 cards. Assuming that you do not replace the card you had drawn before the next draw, what is the probability of drawing three aces in a row?

a)

$\frac{1}{52}$

b)

$\frac{1}{156}$

c)

$\frac{1}{2000}$

d)

$\frac{1}{5525}$

e)

$\frac{1}{132600}$

12.

This table shows the number of teachers or staff who have a cat or a dog in MUIDS. A person is chosen at random, what is the probability that they are female?

a)

$\frac{48}{100}$

b)

$\frac{9}{48}$

c)

$1$

d)

$48$

13.

This table shows the number of teachers or staff who have a cat or a dog in MUIDS. A person is chosen at random, what is the probability that they own a dog?

a)

$\frac{42}{51}$

b)

$\frac{51}{100}$

c)

$\frac{9}{51}$

d)

$1$

14.

This table shows the number of teachers or staff who have a cat or a dog in MUIDS. Are the events 'having a dog' and 'being male' mutually exclusive? Can you prove it?

a)

not mutually exclusive

b)

mutually exclusive

15.

There are 10 multiple choice questions and 5 true/false questions on an exam. Of the multiple choice questions, 8 have options A, B, C, D and the remaining 2 have options A, B, C, D, E. How many possible options are there to answer this set of questions.

a)

$4^8\times5^2\times2^5$

b)

$10\times5$

c)

$8^4\times2^5\times5^2$

d)

$8\times2\times5$

16.

There are 20 pro hockey players on a pro NHL team, 2 of whom are goalies. How many sets of 5 skaters and 1 goalie can be on the ice at the same time?

a)

$\ _{20}P_6$

b)

$\ _{20}C_5\times\ _2C_1$

c)

$\ _{18}C_5\times\ _2C_1$

d)

$\ _{20}P_5\times\ _2P_1$

17.

Auditions are being held for the play shown. How many ways can the roles be assigned if 6 people audition?

a)

$\ _6P_6$

b)

$\ \frac{_6P_6}{2!}$

c)

$\ _6C_6$

d)

6

18.

Auditions are being held for the play shown. How many ways can the roles be assigned if 9 people audition?

a)

$\ _9P_6$

b)

$\ \frac{_9P_6}{2!}$

c)

$\ _9C_6$

d)

3

19.

Choose a word with exactly 120 permutations.

a)

BLANK

b)

BRASS

c)

BROOKLAND

d)

BASEBALL

20.

Jenny asked 80 people which sports they enjoy from football, hockey, and rugby. What is $P\left(F\cup H\right)$ ?

a)

$\frac{14}{80}$

b)

$\frac{45}{80}$

c)

$\frac{76}{80}$

d)

$1$

21.

Jenny asked 80 people which sports they enjoy from football, hockey, and rugby. What is $P\left(R\cap F\right)$ ?

a)

$\frac{17}{80}$

b)

$\frac{48}{80}$

c)

$\frac{76}{80}$

d)

$1$

22.

Jenny asked 80 people which sports they enjoy from football, hockey, and rugby. What is $P\left(H'\right)$ ?

a)

$\frac{25}{80}$

b)

$\frac{55}{80}$

c)

$\frac{5}{80}$

d)

$1$

23.

Jenny asked 80 people which sports they enjoy from football, hockey, and rugby. What are two things that are mutually exclusive?

a)

Football and Hockey

b)

$P\left(R\cap F'\right)$ and $P\left(Hockey\ only\right)$

c)

$P\left(F\cap H\cap R\right)$ and $P\left(F\cup H\cup R\right)$

d)

None

24.

Jenny asked 80 people which sports they enjoy from football, hockey, and rugby. Are liking football and rugby independent? Can you prove it?

a)

Yes

b)

No

c)

Not enough information

25.

Ben plays for his local team. The probability that he is in the starting line-up for his team this Sunday is 0.7. If he starts the game, the probability that he scores a goal is 0.4. What is the probability he scores, but is not on the starting line up?

a)

$\frac{6}{35}$

b)

$\frac{3}{25}$

c)

$\frac{6}{10}$

d)

Not enough information

Q2 Exam review

Total questions: 25

Worksheet time: 2hrs 41mins

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