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First Summative Test in 4th Grading

Total questions: 40

Worksheet time: 7hrs 40mins

Name
Class
Date
1.

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

a)

12

b)

60

c)

15

d)

30

2.

Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?

a)

23

b)

840

c)

42

d)

3,628,800

3.
What is the value of 5!
a)
25
b)
15
c)
120
d)
720
4.

How many ways ways can you arrange the letters in the word math?

a)

15

b)

4

c)

24

d)

48

5.
7P2
a)
0
b)
7
c)
42
d)
210
6.
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
7.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
8.

Permutation, combination, or neither?

The batting order for seven players on a 12 person team.

a)

combination

b)

permutation

c)

neither

d)

arithmetic

9.

There are six people people, including you and your enemy, in a line. In how many ways can you arrange yourselves such that you and your enemy will never be beside each other?

a)

240 ways

b)

720 ways

c)

480 ways

d)

670 ways

10.

In how many ways can you arrange seven people to be seated in a round table?

a)

5040 ways

b)

120 ways

c)

720 ways

d)

840 ways

11.

Six friends are going to play a ball game. Each team has 3 players. How many different team combinations are possible?

a)

120

b)

6

c)

18

d)

20

12.

Kimberly has seven colors of lanyards. She uses three different colors to make a key chain. How many different combinations can she choose?

a)

210

b)

5.040

c)

6

d)

35

13.

In how many ways can a group of 4 boys be selected from 10 if the oldest boy is included in each group?

a)

84

b)

81

c)

504

d)

6

14.

How many basketball games are played in a 10-team league if each team plays all other teams TWICE?

a)

90

b)

45

c)

180

d)

100

15.

Which of the following is an example of combination?

a)

Form a passcode with 4 digits

b)

Students line up in a queue to assembly

c)

Choose 4 students in a class committee

d)

Choose the chairperson, secretary and treasurer in a club

16.
How many combinations of 4 letters are possible from the letters A B C D E?
a)
4
b)
5
c)
6
d)
69
17.

How would you solve?

A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?

a)

Permutation

b)

Combination

c)

Factorial

d)

MPC

18.

How many ways can a triangle be drawn using any 3 of

the 19 points that lie on a circle?

a)

323 ways

b)

969 ways

c)

5,814 ways

d)

1,518 ways

19.

Patrick is planning to give Abby a flash drive with a compilation of his 10 original songs. In how many ways can he choose the songs from his collection of 25 original songs if one of the songs must be Chandelier?

a)

3,268,760 ways

b)

2,042,975 ways

c)

1,307,504 ways

d)

1,450,073 ways

20.

Three different letters are to be chosen from the first 10 letters of the English alphabet. How many choices contain at least 1 vowel?

a)

85 choices

b)

120 choices

c)

2,100 choices

d)

115 choices

21.

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?

a)

5/11

b)

5/6

c)

1/3

d)

5

22.

Find the experimental probability:

Roll dice: 1, 3, 3, 4, 4

P(1) =

a)

3/5

b)

1/6

c)

2/5

d)

1/5

23.

Based on the chart, what is the experimental probability of pulling a green marble?

a)

1/8

b)

8/25

c)

8/100

d)

7/8

24.

What is the probability that you choose blue? *simplify

5 green

6 yellow

8 blue

7 brown

a)

8/26

b)

4/13

c)

8/25

d)

1/3

25.

There are 15 girls and 15 boys in 8th period. If Terry randomly selects a member of 8th period, what is the probability that she will select a boy?

a)

15/15

b)

1/2

c)

15/40

d)

8/15

26.

What is the probability of spinning a 2 on the spinner?

a)

1/2

b)

1/3

c)

1/8

d)

1/4

27.

What is the probability of the spin stopping on yellow?

a)

1/4

b)

.25

c)

50%

d)

75%

28.
Probability can be written as a 
a)
fraction
b)
decimal
c)
percent
d)
all of the above
29.
A die is rolled. What is the probability that the result is less than 3 ?
a)
1/2
b)
1/3
c)
1/4
d)
1/6
30.

What is the probability of spinning red?

a)

0

b)

5/12

c)

1/2

d)

3/4

31.

You draw a marble from a bag that has 4 red, 2 blue, and 3 green, you also flip a fair coin. What is the probability you will draw a blue marble and flip a heads?

a)

1/9

b)

3/9

c)

3/6

d)

5/6

32.
P(1 and A)
a)
1/16
b)
1/10
c)
4/16
d)
1/4
33.
P(a red card and then an orange card)
DO NOT replace
a)
3/58
b)
14/30
c)
2/5
d)
7/60
34.
If you choose 1 scoop of ice cream from 12 flavors and any 1 topping from a choice of 8, how many different ice-cream sundaes can you make?
a)
58
b)
96
c)
20
d)
192
35.
The daily special at the House of Pies offers one of three featured pies and your choice of coffee, tea, milk or juice. How many ways can you order the special?
a)
12
b)
8
c)
15
d)
6
36.
A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 
a)
1/12
b)
1/4
c)
1/8
d)
1/2
37.

In rolling a die, what is the probability of getting an odd number or an even number?

a)

1

b)

1/2

c)

1/6

d)

2/3

38.

In a deck of 52 cards, what is the probability of getting a face card or an ace?

a)

4/13

b)

3/13

c)

5/13

d)

1/52

39.

In flipping two coins, what is the probability of getting at most 1 head or at least 1 tail?

a)

1/2

b)

3/4

c)

1/4

d)

1

40.

In a deck of 52 cards, what is the probability of getting a diamond or a club?

a)

1/4

b)

3/4

c)

1/2

d)

1