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Long Test in Mathematics 10 (Third Quarter)

Total questions: 50

Worksheet time: 2hrs 24mins

Name
Class
Date
1.

It refers to the different possible arrangement of a set of objects in some specified order.

a)

Combination

b)

Notation

c)

Permutation

d)

Division

2.

The product of all positive integers equal or less than "n".

a)

n-Factorial

b)

n-Primes

c)

n-Products

d)

n-Integers

3.

Which of the following expressions is equal to (5)(4)(3)(2)(1)?

a)

5!

b)

4!

c)

3!

d)

2!

4.

Which of the following expressions represent the permutation of five different books in a shelf?

a)

4P4

b)

3P3

c)

5P5

d)

2P2

5.

Which of the following expressions represents the permutation of 4 different letters taken 2 at a time?

a)

2P4

b)

4P2

c)

4P4

d)

2P2

6.

10!

a)

3,628,800

b)

362,880

c)

36,288

d)

3,628

7.

5! + 7!

a)

5,160

b)

5,040

c)

720

d)

120

8.

(8-8)!

a)

0

b)

1

c)

8

d)

40,320

9.

6!-4!

a)

720

b)

696

c)

120

d)

24

10.

7! / (7-2)!

a)

2

b)

6

c)

24

d)

42

11.

9! / 6!

a)

5.040

b)

720

c)

504

d)

120

12.

5! x 0!

a)

120

b)

24

c)

6

d)

2

13.

3P3

a)

1

b)

2

c)

4

d)

6

14.

5P2

a)

24

b)

20

c)

12

d)

6

15.

7P4

a)

840

b)

24

c)

6

d)

2

16.
There are 12 kinds of Girl Scout cookies for sale. How many ways can Rachel choose three different kinds to buy?
a)
220
b)
36
c)
1320
d)
100
17.
Eva has eight glasses of water.  In how many different orders can the glasses of water be arranged?
a)
8
b)
64
c)
8!
d)
56
18.
20P2
a)
20
b)
380
c)
6840
d)
116280
19.
What does 10P5 mean?
a)
Permutations with 5 choices and 10 positions
b)
Permutations with 10 choices and 5 positions
c)
Permutations with 5 numbers and 10 operations
d)
Permutations with 5 hot dogs and 10 drinks
20.
7!
a)
4050
b)
5400
c)
5040
d)
4500
21.

Max’s cell phone uses a three-digit pin to unlock it. How many different possible ways can he make a pin number using the digits 0-9? No digits repeat.

a)

90

b)

729

c)

1000

d)

720

22.
Brianna’s school day consists of six classes. How many different ways can her schedule be arranged?
a)
720
b)
36
c)
100
d)
500
23.

How many ways can you arrange 7 books on a shelf?

a)

7

b)

49

c)

343

d)

5,040

24.

How many ways can you arrange 2 letters from the word

S Q U A R E?

a)

30

b)

140

c)

320

d)

45

25.
How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?
a)
90
b)
100
c)
12
d)
24
26.

An English book, a Mathematics book and a Science book are to be arranged on a shelf. In how many different ways can these books be arranged?

a)

6

b)

9

c)

12

d)

520

27.

A triangles has three vertices, which are to be assigned the names A, B, and C. In how many different ways can the vertices be named?

a)

5

b)

6

c)

7

d)

8

28.

How many five-letter words can be formed using the letters W, X, Y, A, and B?

a)

36

b)

44

c)

120

d)

720

29.

How many words can be formed using all the letters of the word "Mathematics:?

a)

4989600

b)

4596088

c)

200000

d)

300000

30.

How many 5-digit multiples of 5 can be formed from the following digits such that each digit is used exactly once?

a)

24

b)

48

c)

72

d)

90

31.

Getting an odd number and a perfect square when a die is rolled?

a)

{1}

b)

{1,3,5}

c)

{1, 3, 4, 5}

d)

{1, 2, 3, 4, 5, 6}

32.

Getting an odd number or a perfect square when a die is rolled?

a)

{1}

b)

{1, 3, 5}

c)

{1, 3, 4, 5}

d)

{1, 3, 4, 5, 6}

33.

Getting a sum of 6 or same numbers when a pair of dice is rolled?

a)

{(1,5}, (2, 4), (3, 3), (4, 2), (5,1)}

b)

{(1,5}, (2, 4), (3, 3), (4, 2), (5,1), (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}

c)

{(3,3)}

d)

{(1,5}, (2, 4), (3, 3)}

34.

A soloist is auditioning for a musical play. If she is required to sing any three of the 7 prepared songs, in how many ways can she make her choice?

a)

35

b)

42

c)

210

d)

720

35.

8C3 + 6C1

a)

342

b)

324

c)

62

d)

26

36.
The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
What is the probability of selecting a brown candy?
a)
2/18
b)
1/9
c)
2/20
d)
1/10
37.
What is the probability of getting any letter that is not A?
a)
6/8
b)
3/4
c)
2/8
d)
1/4
38.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
39.
A box contains 3 black pens, 7 blue pens, and 5 red pens. Without looking, P(red or black)
a)
8/15
b)
15/225
c)
5/15
d)
3/15
40.

If you flip a coin, what is the probability that it will land on heads?

a)

1/4

b)

1/8

c)

1/2

d)

1/3

41.
A set of all possible outcomes is known as - 
a)
a list
b)
a complement
c)
a sample space
d)
an event
42.
The probability of it raining today is 30%.  What is the probability that it will NOT rain?
a)
30%
b)
70%
c)
100%
d)
0%
43.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
44.
What is an outcome?
a)
The result of an experiment
b)
The chance or likelihood of an event
c)
A fraction, decimal, or a percent
d)
An activity that gives various results
45.
A likely chance event is closer to what number?
a)
0
b)
1
c)
.5
d)
100
46.
An unlikely chance event is closer to what number?
a)
0
b)
1
c)
2
d)
3
47.
What is the probability of drawing a red card from a standard deck of cards?
a)
1/52
b)
13/52
c)
1/2
d)
4/52
48.
If you were to roll the die one time what is the probability of it landing on a 2?
a)
2 out of 6
b)
2 out of 2
c)
1 out of 6
d)
1 out of 1
49.
If an event cannot occur, then its probability is 
a)
1
b)
½
c)
¼
d)
0
50.
Which of the following can be the probability of an event?
a)
-0.04
b)
1.0004
c)
18⁄23
d)
8⁄7

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