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Mathematics in the Modern World

Total questions: 50

Worksheet time: 1hrs 25mins

Name
Class
Date
1.

It is conceivably the most basic pattern in nature.

a)

Regularity

b)

Symmetry

c)

Movement

d)

Rhythm

2.

It contains both radial and bilateral symmetry.

a)

Honeycomb

b)

Sunflower

c)

Human body

d)

Butterfly

3.

These are numbers that are used to measure the number of elements in a given set.

a)

Cardinal

b)

Sequence

c)

Subset

d)

Binary

4.

It is a declarative statement that is true or false but not both.

a)

Negation

b)

Proposition

c)

Preposition

d)

Disjunction

5.

Which of the following is not a method for proof?

a)

Deductive

b)

Subjective

c)

Contradiction

d)

Indirect Proof

6.

It uses the connector "if and only if"

a)

Biconditional

b)

Corollary

c)

Conditional

d)

Lemma

7.

The amazing grandeur of Fibonacci sequence was discovered in the structure of (a)   .

8.

It is the main component of logic in mathematics.

(a)  

9.

What type of sequence deals with common ratio?

a)

Arithmetic

b)

Fibonacci

c)

Geometric

d)

Harmonic

10.

This kind of pattern is unpredictable and it often contain fractals.

a)

Geometric

b)

Forms

c)

Movement

d)

Visual

11.

It is an illustration of the relationships between and among sets, group of objects that share something in common.

(a)  

12.

Two sets, say A and B, are said to be joint sets if they are mutually exclusive.

a)

True

b)

False

13.

Two sets, say A and B, are said to be equivalent if and only if they have the exact number of elements.

a)

True, at all situations

b)

True, but there are exemptions

c)

False, at all situations

d)

False, but there are exemptions

14.

It is the set of all elements under discussion.

(a)  

15.

In union of sets, elements are not repeated in a set.

a)

True

b)

False

16.

It is the value of the golden ratio.

a)

1.861

b)

1.168

c)

1.186

d)

1.618

17.

An example of non-reflexive relation statement.

a)

is the father of

b)

is married to

c)

is less than

d)

is the sister of

18.

A relation that is reflexive, symmetric and transitive is called an (a)   relation on A.

19.

Between two sets, it is the collection of ordered pairs containing one object from each set.

a)

Subset

b)

Ordered Pair

c)

Relation

d)

Function

20.

Co-domain have no bearing in determining functions.

a)

True

b)

False

21.

All of the following statements are correct about Fibonacci except:

a)

The logarithmic spiral growth of the Nautilus shell is an example of Fibonacci.

b)

The total number of family members correspond to a Fibonacci number

c)

Fibonacci numbers are the root of the discovery of the secret behind sunflower seeds

d)

The numbers of petals of almost all flowers in the world correspond to the Fibonacci numbers.

22.

What is the sum of Fib (10) + Fib (5)

a)

58

b)

59

c)

60

d)

61

23.

Which of the following is NOT a statement?

a)

3<2\sqrt{3}<\sqrt{2}

b)

A force is a push or pull.

c)

Is a cation positively charged?

d)

Many cells comprise a tissue.

24.

Let x be a whole number and P(x):x is prime. Which of the following is true?

a)

For all x, P (x)

b)

For all x, not P(x)

c)

For some x, P(x)

d)

None of these

25.

The negation of 'some planets are terrestrial' is

a)

some planets are terrestrial

b)

all planets are terrestrial

c)

some planets are not terrestrial

d)

all planets are not terrestrial

26.

M is an invertible marix. Therefore,

a)

all matrices are invertible

b)

some matrices are invertible

c)

all matrices are invertible

d)

some matrices are not invertible

27.

The argument 'A force is a push or pull. A force is a pull. Therefore, a force is not a push' is

a)

true

b)

false

c)

valid

d)

invalid

28.

Let p be true and q be false. Which of the following is true?

a)

p or q

b)

p and q

c)

if p then q

d)

p if and only if q

29.

All TV shows need sponsors. Therefore,

a)

some TV shows do not need sponsors

b)

all TV shows do not need sponsors

c)

some TV shows need sponsors

d)

no TV shows do not need sponsors

30.

The negation of the statement "If Kari is offered a job then she will accept it" is

a)

If Kari is not offered a job, she will not accept it.

b)

Kari is offered a job and she does not accept it.

c)

Kari is offered a job, and she does not accept it.

d)

If Kari is offered a job, she will not accept it.

31.

Which of the following statements is/are TRUE?
I. If  ⌈x⌉2−1=0\lceil x\rceil^2-1=0  , then x=1 or x=-1


II. If   ⌈x⌉2−1=0\lceil x\rceil^2-1=0  , then x=1 and x=-1

a)

I

b)

II

c)

I & II

d)

None of the above

32.

Which of the following sets is NOT a function?

a)

{(a, a), (a, b), (a, c)}

b)

{(a, a), (b, b), (c, c)}

c)

{(a, a), (b, a), (c, a)}

d)

{(a, b), (b, c), (c,a)}

33.

Which of the following relationships is a function?

a)

teacher -> student

b)

mother -> child

c)

student -> family name

d)

child -> parent

34.

If a boy saved P25 on the first day, P27 the second day, P29 the third day, and so on, how many days will it take him to save P880?

a)

20

b)

21

c)

22

d)

23

35.

A ticket raffle consists of 20 prizes. The first prize is P25,000, and each successive prize is P500 less than the preceding prize. What is the value of the 19th prize?

a)

10,000

b)

12,000

c)

14,000

d)

16,000

36.

The third term of a geometric progression is 144 and the sixth term is 486. Find the first term of the geometric progression.

a)

56

b)

64

c)

72

d)

80

37.

The population of a certain town is 5000. If it increases 5% each years, what will be the approximate population at the end of 10 years?

a)

8144

b)

8532

c)

8926

d)

8756

38.

 32, 67, 35, 613, ....... a18?\frac{3}{2},\ \frac{6}{7},\ \frac{3}{5},\ \frac{6}{13},\ .......\ a_{18}?  


a)

55/6

b)

6/55

c)

66/5

d)

5/66

39.

 1, 35, 37, 13, 311, ... a24?1,\ \frac{3}{5},\ \frac{3}{7},\ \frac{1}{3},\ \frac{3}{11},\ ...\ a_{24}?  

a)

94/3

b)

3/94

c)

3/49

d)

49/3

40.

What is the sum of the first 20 Fibonacci numbers?

a)

10945

b)

10924

c)

6743

d)

6742

41.

Given f(t) = t 2 − t and h(x) = 3x + 2, evaluate f(h(1)).

a)

5

b)

10

c)

15

d)

20

42.

What is the next letter in the series; A, D, I, L?

a)

N

b)

O

c)

Q

d)

P

43.

If a viral cell penetrated a healthy rabbit and the cell will divide into two in about one day. After a day, these two cells will divide again, with the doubling process continues until there are 2 billion cells, at which time the rabbit dies. On which day after the experiment is started does this happen?

a)

31 days

b)

41 days

c)

51 days

d)

61 days

44.

Find the 30th term of the arithmetic sequence, 10, 7, 4...

a)

-77

b)

-74

c)

-71

d)

-68

45.

In a town of 605 people, 285 people eat hamburger and 212 people eat pizza and 127 people eat chicken, 20 people eat hamburger and chicken, 29 people eat hamburger and pizza and 35 people eat pizza and chicken. 50 people does not eat any of these foods and 15 people eat all kinds of foods. How many people eat one food?

a)

350

b)

269

c)

450

d)

501

46.

Illustrate using a venn diagram the relationship between cabbage, food and vegetable.

a)
b)
c)
d)
47.

Select from four alternative diagrams, the one that best illustrates the relationship among the three classes : Dove, Aviary, Dogs

a)

A

b)

B

c)

C

d)

D

48.

What is the next pattern?

a)
b)
c)
d)
49.

BONUS: What is the subject code for our class?

a)

GEd 212

b)

GEd 112

c)

GEd 201

d)

GEd 102

50.

BONUS: Pick Hello.

a)

Good morning

b)

Hi

c)

Hello

d)

Goodbye