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Worksheets

IM2 2nd Semester Final Review 2024

Total questions: 36

Worksheet time: 27mins

Name
Class
Date
1.

What is the probability of spinning green? (a)  

Choose from the below words
0
1/4
1/2
3/4
2.

What is the probability of drawing a green chip and then a gold chip with replacement?

a)

(6/50) * (14/50)

b)

(6/50) * (13/50)

c)

(7/50) * (14/50)

d)

(11/50) * (14/50)

3.

What is the probability of drawing a green chip from the table?

a)

6/50

b)

7/50

c)

11/50

d)

14/50

4.

What is the probability of drawing a green chip and then a gold chip without replacement?

a)

(6/50) * (14/49)

b)

(6/50) * (13/49)

c)

(7/50) * (14/49)

d)

(6/50) * (14/50)

5.

What is the probability of landing on a prime number on the spinner?

a)

3/8

b)

4/8

c)

5/8

d)

2/8

6.

Match the following probabilities:

a)

0

1.

Certain

b)

1

2.

Unlikely

c)

12\frac{1}{2}  

3.

As Likely as Not

d)

between 0 and 12\frac{1}{2}  

4.

Likely

e)

between 12\frac{1}{2}  and 1

5.

Impossible

7.

What is the probability of landing on a prime number and a number greater than 3 on the spinner?

a)

(4/8) * (5/8)

b)

(3/8) * (4/8)

c)

(2/8) * (5/8)

d)

(3/8) * (3/8)

8.

A grab bag contains 12 baseball cards and 8 basketball cards. What is the probability of selecting a baseball card and then a basketball card if the first card is not replaced?

a)

0.252

b)

0.300

c)

0.320

d)

0.400

9.

A grab bag contains 12 baseball cards and 8 basketball cards. What is the probability of selecting a baseball card and then a basketball card if the first card is replaced?

a)

0.240

b)

0.320

c)

0.300

d)

0.400

10.

A bag contains 15 marbles, and 7 of the marbles are blue. Joseph chooses 2 marbles at random without replacing the first marble. What is the probability that both marbles are blue?

a)

0.200

b)

0.217

c)

0.280

d)

0.300

11.

What is the tangent of angle Z in a right triangle if the opposite side is 14 and the adjacent side is 48?

a)

0.29

b)

0.35

c)

0.42

d)

0.50

12.

What is the cosine of the ? angle in a right triangle if the adjacent side is 84 and the hypotenuse is 91?

Give the fraction and the decimal.

DO NOT USE TRIG BUTTON ON CALCULATOR

a)

8491=.92\frac{84}{91}=.92

b)

9184=1.08\frac{91}{84}=1.08

c)

3591=.384\frac{35}{91}=.384

d)

3584=.42\frac{35}{84}=.42

13.

How can you find the length of AC in a right triangle if

you use <B (the one that =38 degrees)

and side BA (the one = 14.9)?

a)

Use the cosine ratio

b)

Use the sine ratio

c)

Use the tangent ratio

d)

Use the Pythagorean theorem

14.

Using Special Right Table,

What is the value of A if sin A = 1/2?

a)

30 degrees

b)

45 degrees

c)

60 degrees

d)

90 degrees

15.

Using Special Right Table

What is the value of B if cos B = √2/2?

a)

30 degrees

b)

45 degrees

c)

60 degrees

d)

90 degrees

16.

One leg of a 45°-45°-90° triangle measures 8 centimeters. What is the length of the hypotenuse?

a)

8√2 cm

b)

8 cm

c)

16 cm

d)

4√2 cm

17.

The hypotenuse of a 30°-60°-90° triangle measures 8√3 inches. What is the measure of the longer leg?

a)

8 inches

b)

4√3 inches

c)

12 inches

d)

4 inches

18.

Solve for x and y in the given similar triangles ΔDEF and ΔHJG. Round to the nearest unit.

a)

x = 23, y = 20

b)

x = 15, y = 9

c)

x = 12, y = 14

d)

x = 18, y = 10

19.

Find the proportion (ratio) of the sides of the triangles ΔYRN and ΔEDA. Are these triangles similar? If so, state how?

a)

.8, Yes, by SSS

b)

4:5, Yes, by SAS

c)

5:6, Yes, by AA

d)

3:5, No

20.

Are the triangles ΔBAE and ΔBDC similar? If so, state how.

a)

Yes, by AA

b)

Yes, by SSS

c)

Yes, by SAS

d)

No

21.

Are these triangles similar? If so, state how.

a)

Yes, by AA

b)

Yes, by SSS

c)

Yes, by SAS

d)

No

22.

At the same time of day, a man who is 78 inches tall casts a 30-inch shadow and his son casts a 20-inch shadow. What is the height of the man's son?

a)

52 inches

b)

48 inches

c)

54 inches

d)

50 inches

23.

If the line is parallel to the base of the triangle, what is the value of n?

a)

110

b)

36

c)

40

d)

34

24.

Dilate triangle ABC with a scale factor of 2 and center at the origin. What are the coordinates of A'?

a)

(2x, 2y)

b)

(x/2, y/2)

c)

(x+2, y+2)

d)

(x-2, y-2)

25.

Which of the following is a property of a parallelogram?

a)

Opposite sides are perpendicular

b)

Opposite sides are equal

c)

Opposite angles are different

d)

Diagonals do not bisect each other

26.

Randomly selecting one tile from Bag A, replacing the tile, then randomly selecting another tile from Bag A is a(n) ​ ​ (a)  

Choose from the below words
independent event.
dependent event.
27.

The type of probability that tells the probability of an event actually happening based on repeated trials is (a)   . The one that predicts what will happen based on the math is ​ (b)   .

Choose from the below words
Experimental Probabillity
Theoretical Probability
28.

(a)   is what actually happens. It only matches ​ (b)   when there are many events, like over 1,000.

Choose from the below words
Experimental Probability
Theoretical probability
29.

Organize these options into the right categories

Categorize the following

flipping a coin

picking teams

rolling dice

choosing outfits without repeating

choosing without replacement

Choosing with replacement

Dependent Events
Independent Events
30.

Match the following

a)

Sin

1.

oppositehypotenuse\frac{opposite}{hypotenuse}

b)

Cos

2.

adjacenthypotenuse\frac{adjacent}{hypotenuse}

c)

Tan

3.

oppositeadjacent\frac{opposite}{adjacent}

31.

Which angle has a cosine of 3/5?

a)

X

b)

Y

c)

Z

d)

None of them

32.

To solve the triangle, step 1 is find the missing side using (a)   Step 2 is to use ​ (b)   to find the first angle. Step 3 is to find the 3rd angle by ​ (c)  

Choose from the below words
Pythagorean theorem.
a trig ratio
subtracting the first angle from 90 degrees.
add up the legs to find the 3rd side.
33.

If 2 shapes are similar, the angles must be

(a)   and the sides must be ​ (b)   .

Choose from the below words
congruent
proportional
34.

To get from point A to point B you must avoid walking through a pond.  To avoid the pond, you must walk 34 meters south and 41 meters east.  To the nearest meter, how many meters would be saved if it were possible to take a jet pack and fly direct?

a)

53

b)

22

c)

75

d)

31

35.

Find the missing side of the triangle.

a)

26

b)

25

c)

24

d)

23

36.

Match the following theoretical probabilities.

a)

18\frac{1}{8}

1.

Spinner with 8 Equal Sections

b)

16\frac{1}{6}

2.

Rolling a Die

c)

12\frac{1}{2}

3.

Flipping a Coin

d)

14\frac{1}{4}

4.

Choosing from Red, Green, Yellow, or Blue

e)

13\frac{1}{3}

5.

Rolling a 5 or 6 on a Die