Free Printable Grade 10 Term 3 revision

1.

Based on the tree diagram, what is the probability of choosing a combination with a chicken sandwich?

a)

2/3

b)

4/12

c)

2/12

d)

2/4

2.

Based on the tree diagram, what is the probability of eating a salad with juice?

a)

6/12

b)

1/2

c)

3/12

d)

3/4

3.

Based on the sample space, what is the probability of NOT wearing a red shirt OR grey trousers?

a)

9/16

b)

7/16

c)

8/16

d)

4/16

4.

Sample space is defined as...

a)

the likelihood of an event occurring.

b)

a diagram of all possible outcomes.

c)

the probability of an event.

d)

a list of all possible outcomes.

5.

The cafeteria is serving three kinds of sandwiches: tuna (T), chicken, (C), and peanut butter (P). They are also serving a choice of two drinks: milk (M) or water (W). Which shows the CORRECT Sample Space List of possible combinations?

a)

TW, CW, PW

b)

TW, TM, TC, CW, PW

c)

TW, TM, CW, CM, PW, PM

d)

TCP, MW

6.

The sample space tree diagram for a team of three students is shown. What is the probability that the team would consist of at least 2 girls?

a)

½

b)

⅜

c)

¾

d)

⅙

7.

The spinners are spun and the values are added together, What is the probability the sum is equal to ... 10?

a)

0

b)

1/2

c)

4/9

d)

1/3

8.

What is the difference between simple and compound events?

4 lines

9.

The New England Patriots and the Dallas Cowboys are playing. What are the possible outcomes of the game?

4 lines

10.

A number cube is rolled. What are the possible outcomes?

4 lines

11.

A fair coin is tossed three times. What are all the possible outcomes? How many total outcomes are possible?

(a)

12.

Recap: What did we learn today?

4 lines

13.

How many total outfit options are represented?

a)

12

b)

22

c)

3

d)

6

14.

Which shows the sample space for flipping two coins?

a)

H, T

b)

HH, HT, TH, TT

c)

HH, TT

d)

Dime, Nickel

15.

What is the sample space?

a)

6 bears

b)

orange, green, red, white, yellow

c)

unlikely

d)

2 red bears

16.

A random variable is defined by a rule that assigns a _______________ to every outcome in a sample space.

a)

number

b)

letter

c)

Event

d)

probability

17.

Two fair dice are rolled and the numbers that appear are added. What is the probability that this sum is at least 5?

a)

5/12

b)

5/36

c)

5/6

d)

1/6

18.

A fair coin is flipped three times. What is the probability of seeing heads exactly once?

a)

3/8

b)

1/8

c)

1/2

d)

1/6

19.

A fair coin is flipped three times. What is the probability of seeing heads at least once?

a)

7/8

b)

1/8

c)

6/7

d)

1/6

20.

The Sum Rule states that the sum of the probabilities of all instances of a random variables equals...

a)

1

b)

0

c)

P(E)

d)

P(E')

21.

Two fair dice are rolled and the numbers that appear are added. What is the probability that this sum is exactly 3?

a)

1/12

b)

1/18

c)

1/4

d)

1/6

22.

A couple has four children. Let "b" = the number of boys they have. What are the possible instances of "b"?

a)

{0, 1, 2, 3, 4}

b)

{1, 2, 3, 4}

c)

{boy, girl}

d)

{0, 1, 2, ..... 16}

23.

Let set A = {1, 2, 3, 4} and set B = {2, 3, 5, 7}. One number is chosen at random from each set and their sum is calculated.

What is the probability that this sum is exactly 6?

a)

3/16

b)

3/8

c)

1/16

d)

1/4

24.

Let set A = {1, 2, 3, 4} and set B = {2, 3, 5, 7}. One number is chosen at random from each set and their sum is calculated.

What is the probability that this sum is less than 6?

a)

5/16

b)

3/8

c)

5/8

d)

1/3

25.

The set of all outcomes assigned a given number, or that number itself, is called a/an __________________ of a random variable

a)

instance

b)

outcome

c)

result

d)

sum

26.

If a fair coin is tossed twice, what is the probability of seeing heads exactly once?

a)

3/4

b)

1/3

c)

1/2

d)

2/3

27.

Review: A trial consists of flipping five coins. What is the size of the resulting sample space?

a)

5

b)

10

c)

25

d)

32

28.

Integration: Consider the dot plot shown. A trial consists of selecting a single student at random from this sample. Let "x" = the number of candy bars this student sold.

Find P(x>2) :

a)

4/5

b)

3/5

c)

2/5

d)

2/15

29.

Integration: Consider the dot plot shown. A trial consists of selecting a single student at random from this sample. Let "x" = the number of candy bars this student sold.

Find P(x=2) :

a)

1/15

b)

2/15

c)

1/8

d)

1/4

30.

A bag contains five blue marbles, four yellow marbles and three green marbles.

A trial consists of drawing two marbles from this bag at random and with replacement. Let "b" = number of blue marbles drawn. Find P(b=1).

a)

0.2431

b)

0.4861

c)

0.2652

d)

0.5303

31.

A bag contains five blue marbles, four yellow marbles and three green marbles.

A trial consists of drawing two marbles from this bag at random and without replacement. Let "b" = number of blue marbles drawn. Find P(b=1).

a)

0.2431

b)

0.4861

c)

0.2652

d)

0.5303

32.

A bag contains five blue marbles, four yellow marbles and three green marbles.

A trial consists of drawing two marbles from this bag at random and without replacement. What is the probability that both marbles are the same color?

a)

0.2879

b)

0.3788

c)

0.3472

d)

0.2639

33.

A hockey team has an equal chance of winning, losing or tying any given game. A win earns the team three points, a loss no points, and a tie one point in the standings.

What is the probability that after two games this team has at least four points in the standings?

a)

1/3

b)

1/4

c)

2/9

d)

1/8

34.

In a small town of 100 households, 29 own no dogs, 38 own one dog, 22 own two dogs, and 11 own three dogs.

Two different households are picked at random. Let "x" = the total number of dogs these two households own. Find P(x>2).

a)

0.4244

b)

0.4202

c)

0.4278

d)

0.4235

35.

Two fair dice are rolled. Let "x" = the sum of the numbers that appear on the dice.

Which value of "x" is most likely?

a)

6

b)

7

c)

3

d)

3.5

36.

Find P(MM)

a)

$\frac{42}{132}$

b)

$\frac{35}{132}$

c)

$\frac{20}{132}$

d)

$\frac{13}{23}$

37.

Find P(OL)

a)

0.9

b)

0.09

c)

1.0

d)

0.81

38.

What is the probability of drawing a 2, then drawing another 2? (no replacement--dependent event)

a)

2/8 = 1/4

b)

2/56 = 1/28

c)

1/7

d)

3/7

39.

A bag has 2 yellow marbles and 8 brown marbles. Nancy takes out two marbles without replacing the marbles. What is the probability that they will both be yellow?

a)

2/19

b)

1/10

c)

1/45

d)

2/90

40.

A bag contains 3 red marbles, 4 blue marbles, and 5 yellow marbles. You select a marble from the bag and without replacing it select another marble from the bag. What is the probability that you will draw 2 blue marbles?

a)

$\frac{1}{11}$

b)

$\frac{4}{33}$

c)

$\frac{1}{9}$

d)

$\frac{1}{12}$

41.

Mildred has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. She will randomly select 2 coins from the bag one at a time without replacement. What is the probability that Mildred will select a dime and then a penny?

a)

$\frac{83}{120}$

b)

$\frac{11}{16}$

c)

$\frac{5}{128}$

d)

$\frac{1}{24}$

42.

On Roberto's shelf are 6 mystery books, 5 science books, 4 history books, and 3 adventure books. Roberto will randomly choose 1 book to read and then without replacement will choose another book. What is the probability he will choose an adventure book and then a mystery book?

a)

$\frac{1}{17}$

b)

$\frac{1}{18}$

c)

$\frac{1}{9}$

d)

$\frac{1}{36}$

43.

Gabriel has 2 cans of tomato soup, 3 cans of chicken soup, 2 cans of cheese soup, 2 cans of potato soup, and 1 can of beef soup. Gabriel will randomly choose one can of soup and then without replacement will choose another can of soup. What is the probability that he will choose a can of tomato soup and then a can of cheese soup?

a)

$\frac{2}{45}$

b)

$\frac{1}{25}$

c)

$\frac{3}{50}$

d)

$\frac{1}{15}$

44.

A bag contains 3 red tiles, 6 green tiles, and 3 blue tiles. A tile will be randomly selected from the bag and then without replacement another tile will be selected. What is the probability that a red tile will be drawn and then a green tile?

a)

$\frac{1}{8}$

b)

$\frac{3}{22}$

c)

$\frac{1}{16}$

d)

$\frac{3}{44}$

45.

A bag contains 2 red marbles, 3 green marbles, and one brown marble. A marble is picked at random and then without replacement a second marble is picked. What is the probability that the first marble is green and the second marble is red?

a)

$\frac{1}{5}$

b)

$\frac{1}{6}$

c)

$\frac{1}{10}$

d)

$\frac{1}{12}$

46.

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, and 5 strawberry. A piece of candy will be picked and then without replacement a second piece of candy will be picked. What is the probability of drawing a lemon candy and then a strawberry candy?

a)

$\frac{1}{60}$

b)

$\frac{1}{58}$

c)

$\frac{4}{15}$

d)

$\frac{7}{300}$

47.

Amelia receives a treat bag. The treat bag contains 10 gumballs, 5 pixie sticks, 2 bracelets, and 3 chocolates. Amelia selects 1 item from her treat bag and then without replacement selects another item. What is the probability she will select a gumball and then a pixie stick?

a)

$\frac{1}{8}$

b)

$\frac{3}{4}$

c)

$\frac{5}{38}$

d)

$\frac{9}{38}$

48.

A jar contains 2 pink, 6 red, and 4 blue marbles. You pick one marble and then without replacement you pick another one. What is the probability that the marble you pick will be red and then blue?

a)

$\frac{1}{6}$

b)

$\frac{2}{11}$

c)

$\frac{5}{6}$

d)

$\frac{5}{22}$

49.

Jenise has 18 pairs of socks in her drawer. 3 pairs are blue, 9 pairs are white, 2 pairs are striped, and 4 pairs are spotted. Jenise will pick a pair of socks and then without replacement pick another pair of socks. What is the probability that Jenise will choose a pair of white socks both times?

a)

$\frac{4}{17}$

b)

$\frac{9}{34}$

c)

$\frac{1}{4}$

d)

$\frac{17}{18}$

50.

A regular 6-sided die is to be rolled one time. What is the probability that the number 5 is rolled?

a)

1/5

b)

5/6

c)

1/6

d)

6/5

51.

There are 3 red marbles, 4 blue marbles, 2 green marbles, and 6 clear marbles in a burlap bag. One marble is randomly pulled from the bag. What is the probability the marble was green?

a)

1/2

b)

1/7

c)

2/15

d)

2/17

52.

What is the probability of spinning green?

a)

0

b)

3/12

c)

1/12

d)

3/4

53.

What is the probability of spinning an even number?

a)

20%

b)

10%

c)

50%

d)

75%

54.

An experiment consists of spinning a spinner and flipping a fair coin. The spinner consists of 4 colored sections of equal size.

• Red

• Blue

• Green

• Yellow

If the arrow on the spinner is spun one time and the coin flipped one time, what is the probability of getting the outcome “Blue, Tails”?

a)

$\frac{1}{8}$

b)

$\frac{1}{6}$

c)

$\frac{1}{4}$

d)

$\frac{3}{4}$

55.

Calculate the probability

a)

$\frac{5}{29}$

b)

$\frac{4}{15}$

c)

$\frac{7}{20}$

d)

$\frac{13}{30}$

56.

Calculate the probability

a)

$\frac{31}{52}$

b)

$\frac{37}{144}$

c)

$\frac{8}{9}$

d)

$\frac{40}{169}$

57.

Calculate the probability

a)

$\frac{3}{8}$

b)

$\frac{5}{12}$

c)

$\frac{1}{4}$

d)

$\frac{3}{4}$

58.

Calculate the probability

a)

$\frac{1}{6}$

b)

$\frac{2}{3}$

c)

$\frac{1}{4}$

d)

$\frac{5}{6}$

59.

Calculate the probability

a)

$\frac{1}{15}$

b)

$\frac{2}{5}$

c)

$\frac{1}{36}$

d)

$\frac{5}{36}$

60.

Calculate the probability

a)

$\frac{2}{9}$

b)

$\frac{1}{17}$

c)

$\frac{4}{41}$

d)

$\frac{3}{19}$

61.

Calculate the probability

a)

$\frac{35}{71}$

b)

$\frac{13}{35}$

c)

$\frac{35}{132}$

d)

$\frac{5}{34}$

62.

Calculate the probability

a)

$\frac{1}{7}$

b)

$\frac{3}{4}$

c)

$\frac{5}{12}$

d)

$\frac{1}{4}$

63.

In a pet store, there are 6 puppies, 4 gerbils, and 7 parakeets. If a pet is chosen at random, what is the probability of choosing a puppy or a parakeet?

a)

11/17

b)

13/17

c)

10/17

d)

None of the above

64.

A number from 1 to 10 is chosen at random. What is the probability of choosing a 5 or an even number?

a)

3/5

b)

1/2

c)

1/5

d)

None of the above

65.

A glass jar contains 1 red, 3 green, 2 blue, and 4 yellow marbles. If a single marble is chosen at random from the jar, what is the probability that it is yellow or green?

a)

3/10

b)

4/10

c)

7/10

d)

None of the above

66.

A box contains 18 blue chips, 6 red chips, 4 green chips and 2 yellow chips that are identical in size and shape. If one chip is chosen at random, what is the probability that the chip will be either blue or yellow?

a)

$\frac{2}{3}$

b)

$\frac{1}{3}$

c)

$\frac{3}{5}$

d)

$\frac{1}{2}$

67.

Find the probability of choosing a student at random that plays an instrument OR a sport. (Hint: Don't double count the students that play an instrument AND play a sport.)

a)

1/2

b)

13/20

c)

21/20

d)

4/5

68.

There are 6 green tags in a bag labeled #1 - #6. There are 8 orange tags in a bag labeled #1 - #8. If one tag is selected at random, find the probability that it is orange or odd.

a)

11/14

b)

15/14

c)

10/14

d)

9/14

69.

Find the length of the arc.

a)

31.42cm

b)

15.71cm

c)

282.74cm

d)

23.56cm

70.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

a)

40

b)

35

c)

55

d)

69

71.

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of minor arc AB to the nearest degree.

a)

60

b)

45

c)

63

d)

81

72.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

73.

Find the length of the bold arc.Leave pi in your answer.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

74.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

75.

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

a)

5

b)

8

c)

9

d)

12

76.

Find the arc length of arc AB.

a)

12.57 units

b)

75.40 units

c)

24 units

d)

125.66 units

77.

If the measure of arc ABC = 210°, what is the measure of ∠AOC?

a)

150°

b)

100°

c)

210°

d)

105°

78.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

79.

What is the measure of arc AD?

(a)

80.

What is the measure of

\angle AOB

?

(a)

Grade 10 Term 3 revision

Total questions: 80

Worksheet time: 12hrs 54mins

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