Free Printable MATH 10- THIRD QUARTER REMEDIAL

1.

What is the value of 5!?

a)

25

b)

15

c)

120

d)

720

2.

In how many ways can 6 people arrange themselves in a row for picture taking?

a)

24

b)

60

c)

120

d)

720

3.

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

a)

4P4

b)

4P2

c)

2P2

d)

2P4

4.

Evaluate 10!

a)

3,628,800

b)

362,880

c)

39,916,800

d)

40,320

5.

Which of the following does not belong?

a)

P(7,2)

b)

7P2

c)

42

d)

P(2,7)

6.

Permutation is the situation when

a)

A different result occurs when positions of objects are switched

b)

counting principles are applied

c)

The same result occurs when positions of objects are switched

d)

I don't know

7.

Anna, Bon, Charles, Dianne, Fe and Erwan want to take a photo in which Anna and Erwan must not stand next to each other. How many different photos are possible?

a)

240

b)

120

c)

480

d)

720

8.

The symbol of n! is read as ______.

a)

N exclamation

b)

N factorial

c)

N prime

d)

N radius

9.

In how many ways can a group of 8 persons arrange themselves around a circular table if 3 of them insist on sitting beside each other?

a)

4,320

b)

720

c)

6,720

d)

336

10.

Find the number of distinguishable permutation of the letter in a word “BASKETBALL“.

a)

453, 600 ways

b)

45, 360 ways

c)

4,536 ways

d)

453 ways

11.

Which of the following expressions represents the permutation of 7 people seated on a circular dining table?

a)

7!

b)

(7-1)!

c)

(7-1)!/2

d)

7P7

12.

In how many ways can the letters of the word BIRTHDAY be arranged so that the vowels always come together?

a)

8!

b)

$8!\times2!$

c)

7!

d)

$7!\times2!$

13.

The different possible arrangements of objects in a circle.

a)

Circular Permutation

b)

Permutation in a Row

c)

Permutation with Repetitions

d)

Permutations of n taken r at a time

14.

There are six 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

15.

Is getting 2 coins from a piggy bank containing 10-peso, 5-peso, and 1-peso coins, a permutation or combination problem?

a)

Permutation

b)

Combination

16.

Is arranging folder files in a cabinet, involves a permutation or a combination problem?

a)

Permutation

b)

Combination

17.

Assigning different roles for each of the five members in a group is an example of a permutation or a combination problem?

a)

Permutation

b)

Combination

18.

Electing 2 Peacekeepers from a class of 35 students involves permutation or combination?

a)

Permutation

b)

Combination

19.

One hundred names are put into a hat and three names will be drawn to win Php5000 each is an example of a permutation or a combination problem?

a)

Permutation

b)

Combination

20.

Which is equivalent to the combination of n elements taken r at a time or nCr?

a)

$\frac{n!}{\left(n-r\right)!}$

b)

$\frac{n!}{r!\left(n-r\right)!}$

c)

$\frac{r!}{n!\left(r-n\right)!}$

21.

A team of 18 softball players needs to

choose three players to refill the water cooler.

a)

816

b)

800

c)

4896

d)

4000

22.

A class of 30 students wants to

elect a president, vice president, secretary, and treasurer.

a)

657,700

b)

657,720

c)

27,405

d)

27,000

23.

A Mathmatics test contains five different questions labeled A, B, C, D, and E. You are supposed to choose 2 to answer. How many different ways are there to do this?

a)

5

b)

10

c)

15

24.

Benedic wants to order a sandwich with two of the following ingredients: mushroom, eggplant, tomato, and avocado. How many different sandwiches can Benedic choose?

a)

8

b)

6

c)

4

25.

Four students need to be selected from a class

of 15 to help clean up the campus. How many different ways can the 4 students be chosen?

a)

32 760

b)

60

c)

1 365

26.

A basketball team has 12 members who can play any position. How many different ways can the coach choose 5 starting players?

a)

95 040

b)

792

c)

60

27.

You are ordering a triple-scoop ice-cream cone. There are 18 flavours to choose from and you don’t care which flavor is on the top, middle, or bottom. How many different ways can you select a triple-scoop ice-cream cone?

a)

54

b)

816

c)

4896

28.

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

29.

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

30.

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

31.

An election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done?

a)

6!

b)

120

c)

20

d)

3!

32.

How would you solve?
From the 20 DVD's you purchased this past year, you plan to take five with you on vacation. How many different sets of five DVD's can you take?

a)

Permutation

b)

Combination

c)

Factorial

d)

MPC

33.

It is an arrangement of a set of distinct object in which order is not important.

a)

Permutation

b)

Cyclic Permutation

c)

Combination

d)

Distinguishable Permutation

34.

10C3

a)

210

b)

220

c)

120

d)

110

35.

How many ways can you choose 15 oranges from a crate of 60?

PERMUTATION or COMBINATION? Which calculation is correct?

a)

$_{60}P_{15}$

b)

$_{15}C_{60}$

c)

$_{15}P_{60}$

d)

$_{60}C_{15}$

36.

How many ways can you choose 6 person dodge ball team out of 20 participants?

PERMUTATION or COMBINATION? Which calculation is correct?

a)

$_{20}P_6$

b)

$_{20}C_6$

c)

$_6P_{20}$

d)

$_6C_{20}$

37.

How many ways can you list your 4 favorite cheesecakes, in order, off a menu of 15 options?

PERMUTATION or COMBINATION? Which calculation is correct?

a)

$_4P_{15}$

b)

$_4C_{15}$

c)

$_{15}P_4$

d)

$_{15}C_4$

38.

How many ways can you set a 3-digit lock using the numbers 6, 2 and 4?

PERMUTATION or COMBINATION? Which calculation is correct?

a)

$_3P_3$

b)

$_3C_3$

c)

$_3P_1$

d)

$_3C_1$

39.

In how many ways can the batting order for nine players on a 16 person team be chosen?

PERMUTATION or COMBINATION? Which calculation is correct?

a)

$_{16}P_9$

b)

$_{16}C_9$

c)

$_9P_{16}$

d)

$_9C_{16}$

40.

Kim has homework in five subjects. In how many ways can she complete her homework?

PERMUTATION or COMBINATION? Which calculation is correct?

a)

$_5P_1$

b)

$_5C_1$

c)

$_5P_5$

d)

$_5C_5$

41.

You and 2 friends choose 3 out of 5 appetizers to share. How many ways can you do this?

PERMUTATION or COMBINATION? Which calculation is correct?

a)

$_5P_3$

b)

$_5C_3$

c)

$_3P_5$

d)

$_3C_5$

42.

A crayon box has 6 shades of red. How many ways could you choose 3 shades to color a bird?

PERMUTATION or COMBINATION? Which calculation is correct?

a)

$_6P_3$

b)

$_6C_3$

c)

$_3P_6$

d)

$_3C_6$

43.

How many ways can you choose a President, VP and Secretary from an 8 person committee?

PERMUTATION or COMBINATION? Which calculation is correct?

a)

$_3P_8$

b)

$_3C_8$

c)

$_8P_3$

d)

$_8C_3$

44.

How many handshakes are there when 50 men at a meeting shake hands with everyone else (in non-COVID times)?

PERMUTATION or COMBINATION? Which calculation is correct?

a)

$_{50}P_{50}$

b)

$_{50}C_{50}$

c)

$_{50}P_2$

d)

$_{50}C_2$

45.

What does this symbol represent?

a)

Intersection "or"

b)

Union "or"

c)

Intersection "and"

d)

Union "and"

46.

What does this symbol represent?

a)

Intersection "or"

b)

Union "or"

c)

Intersection "and"

d)

Union "and"

47.

What does the shaded part of diagram shows for?

a)

Intersection of event A and B

b)

Union of event A and B

c)

Universal event

d)

Union and Intersection of event A and B

48.

Which of the following show a simple event?

a)

Getting a sum of 6 in rolling a dice.

b)

Choosing a "King" from a deck of cards.

c)

Rolling an "even number."

d)

Getting a Tail when tossing a coin.

49.

There are two groups of students, group A and group B surveyed their campus for student satisfaction. Group A surveyed students from the math, science, and philosophy departments. Group B surveyed students from the language, business, and philosophy departments. Which department intersect both group of events?

a)

Math Department

b)

Science Department

c)

Philosophy Department

d)

Language Department

50.

A set that contains all of the elements that are in both events.

a)

Intercection of Events

b)

Union of Events

c)

Dependent Events

d)

Independent Events

51.

A set that contains all of the elements that are in atleast one of the two events.

a)

Intercection of Events

b)

Union of Events

c)

Dependent Events

d)

Independent Events

52.

Earl Darenz is asked to choose a day from a week. What is the probability of choosing a day which starts with S.

a)

1/7

b)

2/7

c)

2/3

d)

1/3

53.

The sides of a cube are numbered 11 to 16. If Jan Renz rolled the cube once, what is the probability of rolling a composite number?

a)

1/2

b)

1/4

c)

2/3

d)

3/4

54.

If a letter is chosen randomly from the word PERSEVERANCE, what is the probability that the letter chosen is E.

a)

1/7

b)

1/4

c)

1/5

d)

1/3

55.

Of the 45 students in a class, 25 are boys. If a student is selected at a random for a field trip, what is the probability of selecting a girl?

a)

3/8

b)

4/5

c)

2/7

d)

4/9

56.

A spinner is divided equally and numbered as follows: 1, 1, 2, 3, 3, 4, 1, 1, 2, 4, 1, 2, 3, 4, 1, 2. what is the probability that a pointer will stop at an even prime number?

a)

2/3

b)

1/4

c)

1/3

d)

3/4

57.

What is the probability of rolling an even number if a single dice is rolled once?

a)

1/2

b)

1/4

c)

1/6

d)

2/3

58.

In a standard deck of cards, What is the probability of picking a heart?

a)

2/3

b)

1/7

c)

1/4

d)

3/5

59.

A die is thrown once. What is the probability that the score is a factor of 6?

a)

1/6

b)

1/2

c)

2/3

d)

1

60.

There are 4 blue marbles, 5 red marbles, 1 green marble, and 2 black marbles in a bag. If a marble is chosen at random, what it the probability that a marble chosen is blue?

a)

1/2

b)

2/3

c)

1/4

d)

1/3

61.

A color wheel contains 4 colors; red, orange, green and blue. If a wheel is spun once what is the probability of getting an orange?

a)

1

b)

2/3

c)

1/4

d)

1/3

62.

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

a)

1 ⁄ 16

b)

1 ⁄ 2

c)

1 ⁄ 4

d)

1 ⁄ 8

63.

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble?

a)

$\frac{3}{7}\times\frac{3}{7}$

b)

$\frac{4}{7}\times\frac{4}{7}$

c)

$\frac{4}{7}\times\frac{3}{6}$

d)

$\frac{4}{7}\times\frac{3}{7}$

64.

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

65.

A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll?

a)

2/3

b)

5/36

c)

1/9

d)

1/36

66.

Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on yellow or green?

a)

1 / 16

b)

1 ⁄ 6

c)

1 ⁄ 8

d)

3 ⁄ 4

67.

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

a)

3/10

b)

3/9

c)

1/9

d)

1/3

68.

Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B. P(green, black)

a)

3/20

b)

1/4

c)

3/31

d)

2/27

69.

Events that consist of more than one outcome.

a)

simple events

b)

compound events

c)

sample space

d)

outcome

70.

A set of possible outcomes resulting from a particular experiment.

a)

simple events

b)

compound events

c)

sample space

d)

outcome

71.

If you are picking a card randomly from a deck of cards, the events of picking a jack and picking a heart are ...

a)

Mutually Exclusive

b)

Not Mutually Exclusive

72.

If you are picking a card randomly from a deck of cards, the events of picking an ace and picking a ‘3’ are ...

a)

Mutually Exclusive

b)

Not Mutually Exclusive

73.

When rolling a single die, the events of rolling an even number and rolling a ‘5’ are ...

a)

Mutually Exclusive

b)

Not Mutually Exclusive

74.

When rolling a single die, the events of rolling an odd number and rolling a prime are ...

a)

Mutually Exclusive

b)

Not Mutually Exclusive

75.

When rolling a single die, the events of rolling an even and an odd number are ...

a)

Mutually Exclusive

b)

Not Mutually Exclusive

76.

If a spinner is numbered 1 – 8, when you spin it the events of spinning an even number and a number less than 4 are ...

a)

Mutually Exclusive

b)

Not Mutually Exclusive

77.

If you draw one card from a standard deck, what is the probability of drawing a spade or a red card?

a)

13/52

b)

26/52

c)

39/52

d)

Not possible

78.

If you roll one die, what is the probability of getting an odd number or a 4?

a)

2/3

b)

1/3

c)

1/2

d)

1/6

79.

If you roll one die, what is the probability of getting an even number or a multiple of 3?

a)

1/3

b)

2/3

c)

1/2

d)

1/6

80.

Which of the following shows how to determine P(shaded number or number less than five)?

a)

4/8 + 4/8 - 2/8

b)

4/9 + 2/8 - 4/8

c)

4/8 + 6/8 + 2/8

d)

2/8 + 4/8 - 4/8

81.

The chance of rolling a 2 is 1/6. What is the chance of not rolling a 2?

a)

2/6

b)

1/6

c)

5/6

d)

Not possible

82.

If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?

a)

2/52

b)

4/52

c)

16/52

d)

26/52

83.

A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles. You choose two marbles. What is the probability of selecting a two yellow marbles?

a)

25/84

b)

1/19

c)

10/23

d)

1/3

84.

A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles. You choose one marble. What is the probability of selecting a green or red marble?

a)

8/15

b)

6/11

c)

3/4

d)

2/3

85.

What is Mrs. Galluzzo's favorite color?

a)

purple

b)

red

c)

blue

d)

green

MATH 10- THIRD QUARTER REMEDIAL

Total questions: 85

Worksheet time: 2hrs 12mins

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