Free Printable PRECAL Review Quiz

1.

of what quadrant is A, if sec A is positive and csc A is negative?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

2.

Angles are measured from the positive horizontal axis, and the positive direction is counterclockwise. What are the values of sin B and cos B in the 4^th quadrant?

a)

sin B > 0 and cos B < 0

b)

sin B > 0 and cos B > 0

c)

sin B < 0 and cos B < 0

d)

sin B < 0 and cos B > 0

3.

By rotating a ray from one position to another to make an angle, original position is called

a)

initial side

b)

terminal side

c)

vertex

d)

point of intersection

4.

Express in radian measure,

235\degree

is

a)

$π/235$

b)

$235/π$

c)

$47π/36$

d)

$36π/47$

5.

What is the value of

\sin⁡(-240°)

a)

$1/2$

b)

$-1/2$

c)

$\frac{\sqrt{3}}{2}$

d)

$-\frac{\sqrt{3}}{2}$

6.

$Angles\ between\ 90°\ and\ 180°\ lies\ in\ quadrant:$

a)

I

b)

II

c)

III

d)

IV

7.

The union of two non-collinear rays with some common end point is called

a)

vertex

b)

angle

c)

degree

d)

radius

8.

What is the value of trigonometric function

\cos\ \theta

using the information:

\sin\ \theta=\frac{1}{5}

,

\theta

in quadrant I?

a)

$-\frac{\sqrt{24}}{5}$

b)

5

c)

$\sqrt{24}$

d)

$\frac{\sqrt{24}}{5}$

9.

$\sec\ \theta=\frac{9}{2},\ \theta$ in quadrant IV, find $\tan\theta$

a)

$-\sqrt{77}$

b)

$-\frac{9}{2}$

c)

$-\frac{\sqrt{77}}{2}$

d)

$-\frac{\sqrt{77}}{9}$

10.

Which expression is not equivalent to $\sin\ 150\degree$ ?

a)

$\sin\ 30\degree$

b)

$-\sin\ 210\degree$

c)

$\cos60\degree$

d)

$-\cos60\degree$

11.

$\cot^2\theta\sin\theta\sec\theta$ is equal to

a)

$\sin\ \theta$

b)

$\cot\theta$

c)

$\tan\theta$

d)

$\cot^2\theta$

12.

Write the expression

\frac{\csc^2\theta}{\sec^2\theta}

as a single term.

a)

$\cos^2\theta$

b)

$\sin^2\theta$

c)

$\tan^2\theta$

d)

$\cot^2\theta$

13.

Which is a Pythagorean identity?

a)

$\sin^2\theta-\cos^2\theta=1$

b)

$1-\tan^2\theta=\sec^2\theta$

c)

$\cot^2\theta-1=\csc^2\theta$

d)

$\cot^2\theta+1=\csc^2\theta$

14.

Find the 22nd term of the following sequence:

5, 8, 11, ...

a)

14

b)

63

c)

68

d)

71

15.

$\sum_{i=1}^54\left(2\right)^i$

Find the sum of the geometric series.

a)

248

b)

120

c)

124

d)

240

16.

Given the sequence:

25, 21, 17, 13,...

Write the explicit equation that models the sequence.

a)

a_n = 4n + 29

b)

a_n= - 4n + 29

c)

a_n = - 4n + 25

d)

a_n = 4n + 25

17.

What is the common ratio for the sequence:

28, 14, 7, 3.5...

a)

2

b)

-14

c)

1/2

d)

-7

18.

What is row 7 of Pascal's Triangle?

a)

1, 5, 10, 5, 1

b)

1, 7, 21, 35, 35, 21, 7, 1

c)

1, 5, 10, 10, 5, 1

d)

1, 7, 21, 35, 21, 7, 1

19.

What would be the 5th term of the expansion of (n+4)⁴?

a)

257

b)

n⁴

c)

256

d)

259

20.

Find the 6th term in the expansion of (3x+2)⁸

a)

108864x⁵

b)

108864x³

c)

48384x³

d)

48384x⁵

21.

Calculate the coefficient of $a^4b^6$ in the expansion of $\left(a+b\right)^{10}$

(a)

22.

Which of these is the first step in mathematical induction?

a)

Prove the statement is true for the first element in the set.

b)

Prove that the problem you are working on is the base to all proofs.

c)

Show that if the statement is true for the first k elements, then it is true for the (k+1)st case.

d)

None of these are correct.

23.

When using mathematical induction to prove :

1^2+2^2+3^2+...+n^2=\frac{n\left(n+1\right)\left(2n+1\right)}{6}

In step #2, after you have made your assumption, what are you trying to prove? (What is your goal?)

a)

$1^2+2^2+3^2+...+k^2=\frac{k\left(k+1\right)\left(2k+1\right)}{6}+\left(k+1\right)^2$

b)

$S_k=\frac{k\left(k+1\right)\left(2k+1\right)}{6}$

c)

$1^2+2^2+3^2+...+\left(k+1\right)^2=\frac{\left(k+1\right)\left(k+2\right)\left(2k+1\right)}{6}$

d)

none of the above

24.

BONUS QUESTION:

What is the name of the first ancient calculator?

(a)

25.

There are two fangs in the first vampire number. Give at least one.

(a)

PRECAL Review Quiz

Total questions: 25

Worksheet time: 39mins

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