wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

PRELIMINARY EXAMINATION IN MITMW

Total questions: 60

Worksheet time: 2hrs 58mins

Name
Class
Date
1.

Which of the following is an arithmetic sequence?

a)

2,3,5,8

b)

2,7,12,17

c)

1,1,2,3,5

d)

2,4,8,16

2.

What is the 10th term of this sequence? 2,4,6,8...

a)

16

b)

18

c)

22

d)

20

3.

Which of the following algebraic expressions best describes the nth term of the arithmetic sequence? 7, 9, 11, 13,...

a)

2 + 5n

b)

5 + 2n

c)

7n

d)

n + 5

4.

Which of the following algebraic expressions best describes the nth term of the arithmetic sequence? -1, 3, 7, 11,...

a)

5n - 4

b)

4n - 5

c)

4n + 5

d)

4n - 1

5.

Which of the following is not an arithmetic sequence.

a)

1,2,3,4,5

b)

3,9,27,81

c)

4.5 , 5.0 , 5.5 , 6.0,...

d)

13, 2, -9 , -20, -31

6.

What is NOT true about the following arithmetic sequence:

25, 32, 39, 46, ...

a)

The common difference is 7.

b)

The 7th term is 60.

c)

The 6th term is 60.

d)

The general rule is a(n) = 18 + 7n.

7.

which of the following is a geometric sequence?

a)

−1, 6, −36, 216, ...

b)

−2, −4, −8, −16, ...

c)

2, 4, 6, 8, ...

d)

4 , 8 , -16 , 32

8.

Write the first term(a1) and the common ratio(r) of this geometric sequence 1/11 , 3/22 , 9/44 , 27/88, 81/176, ...?

a)

1/2

b)

1/4

c)

3/2

d)

5/4

9.

what is the first term of this geometric sequence ____, 510, 3060, 18360, 110160, ...

a)

255

b)

85

c)

105

d)

25

10.

A geometric sequence has a first term a1 = 360 and common ratio r= 1/2, what is the fifth term?

a)

20.5

b)

21.5

c)

22.5

d)

23.5

11.

wha is the next term of the geometric sequence 5 , -15 , 45, -135 , 405,...?

a)

1215

b)

-1215

c)

2115

d)

-2115

12.

2,6,18,n,162... , what is the value of n?

a)

24

b)

34

c)

44

d)

54

13.

What is the complete name of your mathematics teacher ?

a)

Rosalyn Padicio

b)

Rosaline Padicio

c)

Rosalyn Galang Padicio

d)

Tolen Galang Padicio

14.
Which of the following would be a Fibonacci sequence?
a)
1, 2, 3, 4, 5, 6
b)
2, 4, 6, 10, 16, 26
c)
3, 6, 9, 12, 15, 18
d)
4, 2, 1, 1/2, 1/4, 1/8
15.
What animal helped Fibonacci recognize his sequence?
a)
elephant
b)
rabbit
c)
camel
d)
dog
16.
Fibonacci wrote a book called Liber Abbaci which translates as ______________.
a)
The Book of Freedom
b)
The Book of Calculations
c)
Free Willy
d)
The Book of Really Hard Problems
17.
What is the Fibonacci number pattern?
a)
Counting up starting from 1 by 1.
b)
Adding the two numbers before it to get the next number.
c)
Multiplying the two numbers before it to get the next number.
d)
Subtracting the two numbers before it to get the next number.
18.

What were some of Fibonacci's mathematical contributions?

a)

The Fibonacci Sequence

b)

Arabic Numerals

c)

The Golden Ratio

d)

All of the above

19.

True or false: The Golden Ratio is rational.

a)

True

b)

False

20.
A transformation that “turns” a figure about a fixed point at a given angle and a given direction.
a)
reflection
b)
translation
c)
rotation
d)
dilation
21.
Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
22.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
23.
Find the common difference: -34, -29, -24, -19, ...
a)
d = -5
b)
d = 5
c)
d = -6
d)
d = 6
24.
Find the common ratio for the geometric sequence.
a)
1
b)
-1
c)
7
d)
-7
25.
This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?
a)
4
b)
3
c)
2
d)
6
26.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

a)

1024, 2048, 4096

b)

32, 8, 2

c)

64, 32, 16

d)

92, 66, 38

27.
Find the first four terms of the sequence given the rule:
an = 4(5)n-1
a)
20, 100, 500, 2500
b)
5, 20, 80, 320
c)
4, 20, 100, 500
d)
4, 9, 14, 19
28.
Find a12 in the sequence -1, -3, -9, -27, ...
a)
-177,147
b)
-19,683
c)
-59,049
d)
118,098
29.

Which of the following best describes this sequence?

{135, 45, 15, 5, ...}\left\{135,\ 45,\ 15,\ 5,\ ...\right\}  

a)

An arithmetic sequence with a common ratio of  13\frac{1}{3}  

b)

A geometric sequence with a common difference of 3.

c)

An arithmetic sequence with a common difference of 3.

d)

A geometric sequence with a common ratio of  13\frac{1}{3}  

30.

It is a series or sequence that generally repeats itself.

a)

Algebra

b)

Numbers

c)

Patten

d)

Words

31.

How many total number of boxes will there be in the 4th layer?

a)

11

b)

12

c)

15

d)

16

32.
What is the basic formula for The Golden Ratio?
a)
(a+b)/a
b)
(a+b)/b
c)
(a-b)/a
d)
(a-b)/b
33.

The ancient Egyptians used the golden ratio in their pyramids. At that time, the golden ratio was known to them by another name, which is?

a)

The universal ratio

b)

The sacred ratio

c)

The magic ratio

d)

The perfect ratio

34.

What is the 50th term in a Fibonacci Sequence? Use Binet's Formula.

(a)  

35.

Complete the Fibonacci Sequence for the given number of terns in each of the following: (n = 10), F10= {50, 68, ___, ___, 304, 490, 794, ___, ___, ___, ___}

(a)  

36.

Construct a spiral structure for F10 with a1 = 50

37.

Find the unknown term ( (a)   ) and sum of the series for the given common difference of the sequence. d = 20: {15, 35,...(30th term)}

38.

The 1st term of a geometric sequence is 3 and the eighth term is 384. Find the common ratio and the sum of the first 8 terms.

(a)  

39.

What is the significance of studying Mathematics in the Modern World with your current chosen course?

4 lines
40.

Full name of Fibonacci

(a)  

41.

The first element in an ordered pair which is the x value. 

(a)  

42.

The point of intersection between the x and y axis in a cartesian plane.

(a)  

43.

The second element in an ordered pair which is the y value.

(a)  

44.

The formula 360/n gives you the (a)   of an object.

45.

Refer to any letter, number or symbols used to represent the unknown value. 

(a)  

46.

Refer to a regular, repeated or recurring forms or designs and commonly observed in natural objects.

(a)  

47.

It is a collection of distinct objects, persons, or things.

(a)  

48.

A sequence which is formed by adding the preceding two numbers, beginning with 0 and 1.

(a)  

49.

The Greek name  for the golden ratio.

(a)  

50.

An ordered list of numbers which are called terms, that may have repeated values.

(a)  

51.

The mathematician who formulated the formula in finding the nth term of Fibonacci.     

(a)  

52.

Drawing an imaginary line across the objects and the resulting parts are mirror images of each other,

this indicates (a)   .

53.

An ordered set of numbers that have a common difference between each consecutive terms.

(a)  

54.

Sum of consecutive terms in a sequence.

(a)  

55.

An ordered set of numbers that have a common ratio between each consecutive terms.

(a)  

56.

If the first three terms of an arithmetic sequence are 2, 4, and 6, find the 38th term? 

(a)  

57.

  If the first term of an arithmetic sequence is -3 and the eight term is 11 find the difference (d) and list all the 10 terms.

(a)  

58.

Evaluate : Fib17  +  Fib18  + Fib 19 ? (a)  

59.

   Before starting on weight loss program, a man weighs 124kg.  He plans to lose weight at a rate of 1.5 kg. a week until he reaches his recommended weight of 94 kg.  If he keeps to his plan, how many weeks will it take the man to reach his target weight of 94 kg?

 

(a)  

60.

1.                   Riri has decided to save money over a period of 10 weeks, She saves Php 100.00 in the first week, Php200.00 in the second week, Php400.00 in the third week and so on, with her weekly savings forming a geometric sequence.  Find the amount that she saves on the 8th week? Its series up to 10 weeks.

(a)