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11 th grade placement Math Admission test

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Given the points (-4,-3) (6, 2)

What is true about them?

a)

The slope is 2

b)

The midpoint is (5, 5/2)

c)

The distance between them is 5√5

d)

The slope is - 1 / 2

e)

The midpoint is (5/2,5)

2.

The domain of the function is given by:

a)

D={x | -2< x < 2}

b)

D={x | -2≤ x ≤ 2}

c)

D={x | x≠±2}

d)

D={x | ℝ}

3.

Given the function f(x)=x2. What if should it look like if y= -f(x+4)+6

a)
b)
c)
d)
4.

Given the function above f-1(x) is

a)
b)
c)
d)
5.

Given the function above, which of the following points is on the graph of f(x)?

a)

(0,-3)

b)

(1, 3/2)

c)

(1/3, -3/8)

d)

(-6,2)

e)

(2,6)

6.

Which of the following is the same as 210°?

a)

-150°

b)

7 / 6 π

c)

570°

d)

1 / 6π

7.

Which of the following is the same as 4 / 5 π radians?

a)

-36°

b)

504°

c)

54°

d)

-216°

8.

A reference and a coterminal angle of -100° are:

a)

Reference: -80° Coterminal: 160

b)

Reference: 10° Coterminal: -270

c)

Reference: 260° Coterminal: -80°

d)

Reference: 80° Coterminal: 260

9.

Which of the following are true about the above triangle?

a)

It is not a right triangle

b)

it's scalene

c)

both angles α and β are obtuse

d)

It's isosceles

e)

The area is 30 u2

10.

Given the triangle above which of the following are correct?

a)

sin α= 5 /12

b)

tan α= 12 / 5

c)

cos β= 12 / 13

d)

sin β= 5 / 13

e)

tan β= 5 / 12

11.

Given the point (-3,4), which of the following are true?

a)

sin θ= 4 / 5

b)

cos θ= -3 / 5

c)

tan θ= 4 / 3

d)

csc θ= -5/4

e)

sec θ= - 5 / 3

12.

If sec θ=√5, then tan θ=

a)

2

b)

1 / 2

c)

√5 / 2

d)

1 / √5

13.

What is true about the function y=-2 cos (2θ) -1

a)

The amplitude is 3

b)

The period is 360°

c)

The amplitude is 2

d)

The period is 180°

e)

It is reflected.

14.

From 200 meters away from the base of a building, the angle of elevation to the top of a building is 60°. The height of the building can be found with:

a)

h= 200 sin 65°

b)

h= 200 cos 65°

c)

h= 65° cot 200

d)

h= 200 tan 65°

15.

In the triangle above m=

a)

5

b)

10 √2

c)

20 √2

d)

5 √2

16.

A 150-m high building casts a shadow of 80 m. At the moment in question what is the elevation angle of the sun?

a)

About 50°

b)

About 80°

c)

About 63°

d)

About 75°

17.
a)

sin θ

b)

csc θ

c)

sec θ

d)

cos θ

18.

Given the position vector 〈3, -5〉, which of the following are true.

a)

The magnitude of the vector is 34

b)

The magnitude of the vector is √34

c)

The vector lies on quadrant 2

d)

The direction angle is about 300°

19.

Given the polar vector (10, -210°), which of the following is true?

a)

The vector lies on quadrant 3

b)

The magnitude of the vector is √10

c)

The position vector is 〈-8.7, 5〉

d)

The reference angle of the vector is 30°

20.

Given the vectors V=〈-3,6〉 and W=〈8,9〉, the resultant vector 2V+W=

a)

〈-2,21〉

b)

〈21,2〉

c)

〈2,21〉

d)

〈-2,-21〉