Free Printable Remedial Test 3rd Grading Math 10

Worksheets

Remedial Test 3rd Grading Math 10

Total questions: 72

Worksheet time: 3hrs 40mins

Name

Class

Date

An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream. A customer gets to choose a cone and a type of ice cream. How many different 1-scoop ice cream cones can a customer order?

If you roll a die then flip a coin, how many possible outcomes?

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

180

How many styles of sneakers are possible if Jared can choose from high-top or low-top, shoelaces or velcro, and the colors black, white, and red?

Find the total number of outcomes for picking a day of the week and a month of the year.

210

Brianna’s school day consists of six classes. How many different ways can her schedule be arranged?

720

100

Which of the following situations is represented by this tree diagram?

3 shirt options, 6 pants options, and 12 shoe options

2 shirt options, 3 pants options, and 1 shoe option

3 shirt options, 2 pants options, and 2 shoe options

Shoppers in a large shopping mall are categorizes as male or female, over 40 or under 40, and cash or credit card shoppers. In how many ways can shoppers be categorized?

160

10.

What is the total number of outcomes for picking a cat or dog and choosing the colors black, brown or spotted?

11.

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

12.

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

840

3,628,800

13.

What is the value of 5!

120

720

14.

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

15.

What does the P stand for in _nP_r?

Partners

Positions

Papers

Permutations

16.

₇P₂

210

17.

What does ₁₀P₅mean?

Permutations with 5 choices and 10 positions

Permutations with 10 choices and 5 positions

Permutations with 5 numbers and 10 operations

Permutations with 5 hot dogs and 10 drinks

18.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

19.

Permutation, combination, or neither?

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

combination

permutation

neither

arithmetic

20.

Permutation is the situation when

A different result occurs when positions of objects are switched

The same result occurs when positions of objects are switched

counting principles are applied

I don't know

21.

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?

240 ways

720 ways

480 ways

670 ways

22.

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

5040 ways

120 ways

720 ways

840 ways

23.

How many distinct permutations can be made from the word INDEPENDENCE?

1763200 permutations

1664200 permutations

1863200 permutations

1663200 permutations

24.

In how many ways can you arrange the letters of the word EDUCATION such that the vowels are always together?

120 ways

14400 ways

362880 ways

6547234 ways

25.

How would you solve?
The model of car you are thinking of purchasing is available in nine different colors, three different styles and two sizes of motor. How many ways can you order the car?

Permutation

Combination

Factorial

MPC

26.

In how many ways can a committee of 4 be selected from a group of 9 persons?

(a)

27.

There are 6 distinct points on a circle. How many inscribed triangles can be drawn using the six points as vertices?

(a)

28.

How many teams of at least 3 students and at most 6 students can be chosen from 10 students?

(a)

29.

How many diagonals does a decagon have?

(a)

30.

In how many ways can a patrol of 1 officer and 4 enlisted men be chosen from 4 officers and 10 enlisted men?

(a)

31.

In how many ways can a delegation of 7 students be chosen from 5 seniors, 5 juniors, 4 sophomores, and 3 freshmen if the delegation includes 2 seniors, 2 juniors, 2 sophomores and 1 freshman?

(a)

32.

Find the value of n if C(n, 2) =C(n,8).

(a)

33.

In how many ways can a set of 3 mathematics books and 2 physics books be chosen from 6 different mathematics books and 5 different physics books?

(a)

34.

Find n if C(n+2,4)=C(n, 2).

(a)

35.

At a party, each guest shook hands with every other guest exactly once. There were a total of 1225 handshakes. How many guests were there?

(a)

36.

A bottle contains 8 marbles, 3 are red and 5 are blue. You are to take a marble from the bottle without looking. What is the probability that you pick a red marble?

1/3

3/8

5/8

3/5

37.

A die is rolled, what is the probability that the number rolled is greater than 2?

2/3

1/3

1/2

1/4

38.

One card is drawn from a standard deck of 52 cards. What is the probability that the card drawn is a face card?

5/13

3/13

1/4

1/13

39.

In a school club there are 3 freshmen, 5 sophomores, 4 juniors and 7 seniors. One student is chosen at random. What is the probability that the student chosen is a senior?

7/19

3/19

4/19

5/19

40.

A letter is chosen at random from the word “MILKTEA”. What is the probability that the letter chosen is a vowel?

5/7

4/7

3/7

2/7

41.

If one card is drawn from a deck of 52 cards, what is the probability that it would not be a queen?

1/13

4/13

6/13

12/13

42.

A bag contains 8 red marbles and 7 green marbles. What is the probability of getting a green ball?

1/7

1/8

7/15

8/15

43.

From the numbers 1-30, what is the probability that it is divisible by 3?

1/2

1/3

1/4

1/5

44.

The probability that Kathy will not be hired in her job is 1/3 . What is the probability that she will be hired?

1/2

1/3

1/4

2/3

45.

An urn contains 15 white balls and 25 blue balls. If Margarette will pick a ball at random, what is the probability that it is a blue ball?

2/5

3/5

3/8

5/8

46.

Two fair dice are rolled. What is the probability that the product of the numbers that show up is 12?

1/9

1/36

4/9

47.

The pages of a Math Book are numbered 1 – 50. A page is chosen at random. What is the probability that the page number contains a single digit?

1/5

1/50

9/50

41/50

48.

A card is randomly drawn from a standard deck of 52 playing cards. What is the probability that the card drawn is not a heart?

1/4

1/2

3/4

3/13

49.

A box contains 5 red discs, 6 green discs and 4 blue discs. One disc is randomly drawn from the box. What is the probability that it will be a blue disc?

1/3

2/5

4/15

11/15

50.

A letter is randomly chosen from the word MERCY. What is the probability that it will be a vowel?

1/5

2/5

3/5

4/5

51.

1. Events that do not have something in common are called _____________.

mutually exclusive events

not mutually exclusive events

dependent events

independent events

52.

The probability of drawing a diamond card or a face card from a standard deck of cards is an example of mutually exclusive event.

True

False

53.

Jackson pulls a coin out of his pocket and places it on the table. Then he reaches back into his pocket and takes out a second coin.

Dependent clauses

Independent clauses

Dependent events

Independent events

54.

Marie downloads a song from an online service. A few minutes later, a customer in another city searches for a song on the same site.

Dependent events

Independent events

Dependent clauses

Independent clauses

55.

A box contains 3 red marbles, 6 blue marbles and 1 white marble. The marbles are selected 1 at a time and not replaced. Find P(blue and red)

$\frac{1}{6}$

$\frac{1}{5}$

$\frac{1}{4}$

$\frac{1}{9}$

56.

Bag A contains 9 yellow marbles and 3 purple marbles. Bag B contains 9 blue marbles and 6 orange marbles. Find the probability of selecting one purple marble from bag A and one blue marble from bag B.

$\frac{3}{20}$

$\frac{3}{31}$

$\frac{1}{4}$

$\frac{2}{31}$

57.

A jar contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(both marbles are purple)

$\frac{1}{7}$

$\frac{1}{3}$

$\frac{2}{7}$

$\frac{2}{9}$

58.

A box contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(3 whites)

$\frac{1}{30}$

$\frac{1}{31}$

$\frac{2}{31}$

$\frac{2}{33}$

59.

There are seven nickels and six dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then you randomly pick another coin. The first coin is a nickel and the second coin is a dime.

$\frac{7}{26}$

$\frac{6}{27}$

$\frac{5}{27}$

$\frac{7}{27}$

60.

What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?

$\frac{1}{2}$

$\frac{1}{4}$

$\frac{1}{8}$

$\frac{1}{12}$

61.

Which event is not a dependent event?

Picking 2 students to each be line leader and door holder from a group of 20 students

Picking 2 crayons from a box at the same time (simultaneously)

Picking 2 marbles from a bag without replacing the first marble

Picking an earring, replacing it, then picking a 2nd earring

62.

There are six nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. Both times the coin is a nickel.

$\frac{6}{15}$

$\frac{6}{13}$

$\frac{5}{13}$

$\frac{4}{13}$

63.

What is the probability of drawing a King from a deck of cards, putting it back in the deck, shuffling the deck, and then drawing a Jack?

Dependent

Independent

64.

A deck of cards has 2 gold, 3 silver, and 4 gray. you pick two cards from the deck. they are not returned. What is the probability that you pick 2 silver cards in a row?

$\frac{1}{11}$

$\frac{1}{12}$

$\frac{1}{13}$

$\frac{1}{14}$

65.

You have a bag of marbles that include 5 link, 3 yellow and 4 green. You also have a number cube. What is the probability of a choosing a green marble and rolling a prime number?

$\frac{1}{4}$

$\frac{1}{5}$

$\frac{1}{6}$

$\frac{1}{7}$

66.

A deck of cards has 10 pink, 4 white and 1 purple card. You pick 3 cards from the deck. the cards are returned. What is the probability of getting a pink, pink, and white card?

$\frac{16}{135}$

$\frac{16}{136}$

$\frac{16}{137}$

$\frac{16}{138}$

67.

Studying hard, getting a high grade

Dependent

Independent

68.

Eating a lot, gaining weight

Dependent

Independent

69.

Your teacher chooses one student to lead a group, and then chooses another student to lead another group.

Dependent

Independent

70.

You flip heads on one coin and tails on another coin.

Dependent

Independent

71.

You reviewed your Math lessons for your examination and then got 85 as a grade in the examination.

Dependent

Independent

72.

Name of your Student Teacher

(a)

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Remedial Test 3rd Grading Math 10

Total questions: 72

Worksheet time: 3hrs 40mins

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