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Precalculus Review Test_Saballe

Total questions: 50

Worksheet time: 51mins

Name
Class
Date
1.

Find the next three terms in this sequence: 5120, 1280, 320, 80...

a)

-160, -400, -640

b)

20, 5, 1.25

c)

40, 20, 10

d)

76, 72, 68

2.

What is the sum of the finite geometric series, 1+4+16+64+... +4096 ?

a)

5,461

b)

2,073.3

c)

25,347

d)

349,525

3.

Suppose you drop a tennis ball from a height of 15 feet . After the ball hits the floor, it rebounds to 85% of its previous height . How high the ball rebound after its third bounce? Round to the nearest tenth.

a)

9.2 feet

b)

10.8 feet

c)

7.8 feet

d)

1.9 feet

4.

What is the sum of the first 5 numbers in the series 1+2+4+8+16+32+...?

a)

16

b)

63

c)

32

d)

31

5.

The first term of a geometric sequence is -2 and the common ratio is 3. What is the 12th term of the sequence?

a)

-1,062,882

b)

-6144

c)

-354,294

d)

12288

6.

The sum of the first 10 terms of an arithmetic progression is 40. If the first term is -5, then what is the common difference?

a)

-3

b)

-1

c)

2

d)

4

7.

Find the 17th term of this sequence. an=(-1)^n-1 ⋅ n^2

a)

-289

b)

265

c)

289

d)

-256

8.

A small hole in a rubberized container allows 1/20 of the air to escape each second. What percent of the air will remain in the container 6 seconds after the opening of the hole?

a)

30%

b)

50%

c)

60%

d)

70%

9.

The population of Leyte National High School at the beginning of year 2020 is 10,500. If it constantly increases by 3% every year, what will be the approximate population at the end of the year 2023?

a)

11, 445

b)

10, 815

c)

11, 139

d)

12, 102

10.

A man repays an amount of ₱3250 by paying ₱20 in the first month and then increases the payment by ₱15 per month. How long will it take him to clear the amount?

a)

15 months

b)

20 months

c)

31 months

d)

40 months

11.

The number of bacteria in a certain culture doubles every hour. If there were 30 bacteria present in the culture originally, how many bacteria will be present at the end of nth hour?

a)

(15)(2)^n

b)

(30)(0.2)^n

c)

(30)(2)^n

d)

(0.2)(30)^n

12.

A car originally valued at ₱550,000 depreciates by 18% per year. Find its value at the end of 7 years.

a)

₱369, 820

b)

₱412, 567

c)

₱112, 427.75

d)

₱137, 107.01

13.

Given the geometric sequence 3, 6, 12,... what is the sum of the first 8 terms?

a)

700

b)

745

c)

765

d)

800

14.

Which statement describes the Fibonacci pattern to find successive terms?

a)

multiply the previous two terms.

b)

add the previous two terms.

c)

multiply the previous term times 2.

d)

add 1 to the previous term.

15.

How many pairs of rabbits will be present at the end of the 10th month (or the beginning of the 11th month)?

a)

34

b)

55

c)

144

d)

233

16.

How do you call the sum of the terms of the given sequence?

a)

Fibonacci

b)

arithmetic

c)

geometric

d)

series

17.

In the expression equation ("summation of 383i+5 from i=3 to i=8") , which is the index of summation?

a)

3

b)

8

c)

i

d)

5

18.

What is the sum represented by ("summation of 383i+5 from i=3 to i=8")?

a)

11669

b)

12664

c)

12669

d)

13664

19.

What is the sum represented by the notation in the photo?

a)

80

b)

105

c)

242

d)

289

20.

What is the expanded form of the summation notation, ?

a)

-1 + 1+ 3 + 5

b)

0 + 3 + 6 + 9

c)

3 + 8 + 13 + 18

d)

-2 + 4 + (-6) + 8

21.

Which of the following notation represents the series, -2 + 1 + 6 + 13 + 22 ?

a)

b)

c)

d)

22.

Which of the following is true about harmonic sequence?

a)

The terms of the sequence is a reciprocal of the terms of an arithmetic sequence.

b)

It has a common ratio.

c)

It represents pairing of rabbits in each month.

d)

It is generated by dividing a constant number from the preceding term.

23.

What does this sign mean?

a)

It is the symbol for exponent.

b)

It is the upper-case Greek letter for S, called Sigma. It indicates a 'sum of.'

c)

It is the Latin symbol for Exponential Equations.

d)

It is the symbol meaning function.

24.

Which of the following is NOT a sequence?

a)

{1, 2, 3, 4, . . .}

b)

{2, 4, 6, 8, . . .}

c)

{3, 5, 7, 9, . . .}

d)

{5, 1, 45, 31, . . .}

25.

Which property is demonstrated in this process, ?

a)

Summation of a Constant

b)

Summation of Difference

c)

Summation of a Product

d)

Summation of a Sum

26.

In the notation, what is the upper limit?

a)

2

b)

3

c)

4

d)

5

27.

In which quadrant would you find an angle measuring -740°?

a)

QI

b)

QII

c)

QIII

d)

QIV

28.

What are the negative and positive coterminal angles of -225 degrees?

a)

375°, -600°

b)

125°, -356°

c)

135°, -585°

d)

60°, -120°

29.

The following angles are quadrantal angles, EXCEPT one.

a)

90°

b)

-45°

c)

540°

d)

- 270°

30.

Which of the following statements is TRUE about reference angle?

a)

The angle must be in standard position.

b)

It must be a quadrantal angle too.

c)

The vertex is at the negative x-axis.

d)

It is the negative acute angle.

31.

What is the coterminal angle of 69°?

a)

138°

b)

-345°

c)

429°

d)

-540°

32.

What is the reference angle of 230°?

a)

30°

b)

45°

c)

50°

d)

60°

33.

Which of the following is NOT a coterminal angle of -120?

a)

60°

b)

240°

c)

-480°

d)

960°

34.

What is the reference angle of -196?

a)

24°

b)

344°

c)

16°

d)

-22°

35.

What is the reference angle of 885°?

a)

-15°

b)

30°

c)

- 60°

d)

15°

36.

Which of the following is true about angle in standard position?

a)

Its initial side is on the negative x-axis.

b)

The vertex is at the origin.

c)

It is located at the fourth quadrant.

d)

Its terminal side must coincides.

37.

The following statements are true about the measurement of negative angles, EXCEPT.

a)

it is in standard position

b)

it is a counterclockwise measurement

c)

it is a clockwise measurement

d)

it has an initial and terminal side

38.

What do you call an angle that has the same terminal side?

a)

coterminal

b)

reference

c)

quadrantal

d)

standard

39.

What is the equivalent value of one revolution in degrees?

a)

540⁰

b)

540⁰

c)

360⁰

d)

720⁰

40.

The following are units of angle measurement that are commonly used, EXCEPT.

a)

radian measure

b)

degree measure

c)

revolution

d)

meter

41.

Convert 150⁰ to radian.

a)

5pi/6

b)

3pi/2

c)

pi/2

d)

11pi/6

42.

Convert -2 rad to degrees.

a)

-114.59

b)

-360

c)

-2

d)

-121.45

43.

Convert 5.58 degrees to minutes and seconds

a)

5 deg, 48 mins, and 34 sec

b)

5 deg, 5 mins, and 5 sec

c)

5 deg, 34 mins, and 48 sec

d)

5 deg, 12 mins, and 60 sec

44.

Convert 282 degrees to radian measure.

a)

25pi/12

b)

47pi/30

c)

12pi/27

d)

12pi/40

45.

Convert 12pi/32 to degrees.

a)

67.5

b)

82.2

c)

76.5

d)

38.8

46.

Convert 123.32 degrees to minutes and seconds.

a)

123 deg, 19 min, and 12 sec

b)

123 deg, 12 min, and 19 sec

c)

123 deg, 23 min, and 32 sec

d)

123 deg, 3 min, and 2 sec

47.

Convert 123.32 degrees to radian

a)

2.15 rad

b)

2.64 rad

c)

1.37 rad

d)

0.69 rad

48.

Convert 18 degrees , 20 minutes and 3 seconds to decimals.

a)

18.33

b)

18.38

c)

18.27

d)

18.09

49.

Convert -pi/2 to degrees.

a)

-90

b)

90

c)

180

d)

-180

50.

Convert 2/3 rev to radian

a)

4.19 rad

b)

3.99 rad

c)

4.89 rad

d)

3.01 rad