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CHAPTER 1 — Mathematics in the Modern World

Total questions: 82

Worksheet time: 29mins

Name
Class
Date
1.

A series of numbers in which the next term is produced by adding two previous numbers

a)

Fibonacci sequence

b)

Fibonacci spirals

2.

Who introduced the Fibonacci Sequence?

a)

Leonardo da Vinci

b)

Leonardo da Pisa

3.

Fibonacci sequence was originated from...

a)

Pisa, Italy

b)

Rome, Italy

4.

Leonardo da Pisa made a work in 1202 called...

a)

Liber Abaci

b)

Liber Abachi

5.

What are the Fibonacci triangular numbers?

a)

1, 3, 21, and 55

b)

1, 1, 3, 21, and 55

6.

Fibonacci sequence is the most fascinating sequence because of its surprising appearance in nature and arts

a)

True

b)

False

7.

Fibonacci numbers arises naturally in...

a)

animals

b)

plants

8.

What type of pattern is arising from the Fibonacci sequence?

a)

Fibonacci Spiral

b)

Golden Ratio

9.

a series of connected quarter-circles draw inside an array squares with Fibonacci numbers for dimension

a)

Fibonacci Spiral

b)

Golden Ratio

10.

the approximate number of Golden Ratio

a)

1.6189

b)

1.6180

11.

Symbol of Golden Ratio

a)

Pi (π)

b)

Phi (Φ)

12.

was first used by Leonardo da Vinci and used the value of Phi

a)

Divine Proportion

b)

Fibonacci Spiral

13.

The other term of Golden Ratio

a)

Divine Proportion

b)

Golden Mean

14.

is also associated with the Fibonacci sequence

a)

Patterns

b)

Golden Ratio

15.

The number Phi (Φ) can be found by solving the solution for the quadratic equation

a)

TRUE

b)

FALSE

16.

English translation of Liber Abaci

a)

Book of Calculations

b)

Book of Fibonacci Sequence

17.

are any regularly repeated arrangement, especially a design made from repeated lines, shapes, or colors on a surface

a)

Patterns

b)

Waves

18.

one shape does not change when moved in some way

a)

fractals

b)

symmetry

19.

a geometric figure where each part has a similar structure

a)

fractals

b)

waves

20.

Patterns include...

a)

Reflections

b)

Waves

c)

Cracks

d)

Spirals

e)

Tessellations

21.

a disturbance that travels through a medium from one location to another location

a)

symmetry

b)

waves

22.

Who discovered the Binet's Formula?

a)

Leonardo da Pisa

b)

Jacques Binet

23.

predicts and measures the track, location, and strength of typhoons

a)

PAGASA

b)

PHILVOLCS

24.

people who study weather and do such predictions

a)

meteorologist

b)

climatologist

25.

complete PHILVOLCS

(a)  

26.

complete PEIS

(a)  

27.

complete PAGASA

(a)  

28.

as the world advances technologically, it helped the meteorologist become more...

a)

inaccurate

b)

accurate

29.

requires powerful supercomputers and tons of observational data from land, sea, and air weather stations around the world

a)

Numeral Forecasting

b)

Intensity

30.

Public Storm Warning Signal Number 5 was added on ______ because tropical cyclones have become more intense recently

a)

May 1, 2015

b)

January 12, 2020

31.

the agency responsible for mitigating disasters given by volcanic eruptions and earthquakes in the Philippines

a)

PAGASA

b)

PHILVOLCS

32.

the agency responsible for mitigating disasters given by volcanic eruptions and earthquakes in the Philippines

a)

PAGASA

b)

PHILVOLCS

33.

Pacific Ring of Fire, also known as ______

a)
Circum-Pacific Belt
b)
Pacific Circle
34.

In the Philippines, there are __ active volcanoes spread throughout the archipelago

a)

24

b)

42

35.

The latest volcanic eruption was by the Taal Volcano in Batangas on _______

a)

May 1, 2015

b)

January 12, 2020

36.

is a sudden shaking ground caused by movements of rock materials below the earth's surface

a)
earthquake
b)
volcano
37.

earthquakes occurs most often from ____

a)
volcanic eruptions
b)

tectonic plate boundaries

38.

is a sudden shaking ground caused by movements of rock materials below the earth's surface

a)
earthquake
b)
volcano
39.

point inside the earth where the earthquake originated

a)

epicenter

b)

hypocenter/focus

40.

point on the surface of the earth directly above the focus

a)

epicenter

b)

hypocenter

41.

the strength of an earthquakes is measured in two ways

a)

magnitude and intensity

b)

hypocenter and epicenter

42.

measures the energy released by an earthquake at the focus

a)

magnitude

b)

intensity

43.

it is being measured using an instrument called ______

a)

barometer

b)

seismograph

44.

is the strength of the earthquake felt by people in a certain area

a)

magnitude

b)

intensity

45.

which is used to classify the intensity of an earthquake

a)

PEIS

b)

PHILVOLCS

46.

defined as figures or objects which are bounded by lines, curves, or pointd

a)

geometric shapes

b)

tessellations

47.

shape can be two dimensional

a)

cube and cone

b)

square and circle

48.

shape can be three dimensional shapes

a)

cube and cone

b)

square and circle

49.

are figures which only have length and width

a)

two-dimensional shapes

b)

three-dimensional shapes

50.

shape can be three dimensional shapes

a)

cube and cone

b)

square and circle

51.

the most 2 common 2-dimensional shape that we know is the ______

a)

cube and cone

b)

polygons and the circle

52.

are closed figures bounded by line segments that into at their endpoint

a)

polygons

b)

tessellations

53.

a polygon can either be _________

a)

symmetry

b)

convex or concave

54.

all of its interiors angles must be less than 180 degrees and all parts of the diagonal lie inside the polygon

a)

convex

b)

concave

55.

if some parts of the diagonal lie outside

a)

convex

b)

concave

56.

a polygon can also be _________

a)

equilateral, equiangular, and both

b)

equilateral and equiangular

57.

equilateral polygons have ________

a)

congruent sides

b)

congruent angles

58.

equiangular polygons have ________

a)

congruent sides

b)

congruent angles

59.

if a polygon is both equilateral and equiangular, it is called ______

a)

irregular polygon

b)

regular polygon

60.

are solid figured with three dimensions, namely _______

a)

length and width

b)

length, width, and height

61.

A three dimensional shape has ________

a)

faces, edges, and vertices

b)

square, regular polygon, and equilateral triangle

62.

are solid figured with three dimensions, namely _______

a)

length and width

b)

length, width, and height

63.

are solid figured with three dimensions, namely _______

a)

length and width

b)

length, width, and height

64.

Euler's formula

a)

F + V = E + 2

b)

E + V = F + 2

65.

created using a shape or shapes which can be repeated over and over to cover a plane without gaps and overlaps

a)

geometric shapes

b)

tessellations

66.

created using a shape or shapes which can be repeated over and over to cover a plane without gaps and overlaps

a)

geometric shapes

b)

tessellations

67.

tessellation can also be referred to as ______

a)
mosaic
b)
tiling
68.

in creating a tessellations, one concept being applied is _____

a)

symmetry

b)

fractals

69.

4 types of symmetry in tessellations

a)

translation, reflection, rotation, and glide reflection

b)

convex, concave, equilateral, and equiangular

70.

a shape is simply slid across the plane or just copied another location

a)

reflection

b)

translation

71.

shape that has been flipped

a)

reflection

b)

translation

72.

translation and reflection are used simultaneously

a)

glide reflection

b)

rotation

73.

occurs when a shape is moved circularly around a central point called point of rotation

a)

glide reflection

b)

rotation

74.

is made up of only one type of polygon

a)

regular tessellations

b)

semi-regular tessellations

75.

formed by more than one regular polygon

a)

regular tessellations

b)

semi-regular tessellations

76.

reflection across the x-axis

a)

(x, y) → (x, -y)

b)

(x, y) → (-x, y)

c)

(x, y) → (y, x)

77.

reflection across the y-axis

a)

(x, y) → (x, -y)

b)

(x, y) → (-x, y)

c)

(x, y) → (y, x)

78.

reflection across the line y=x

a)

(x, y) → (x, -y)

b)

(x, y) → (-x, y)

c)

(x, y) → (y, x)

79.

rotation 90° about the origin

a)

(x, y) → (y, -x)

b)

(x, y) → (-y, x)

c)

(x, y) → (-x, -y)

80.

rotation 180° about the origin

a)

(x, y) → (y, -x)

b)

(x, y) → (-y, x)

c)

(x, y) → (-x, -y)

81.

rotation 270° about the origin

a)

(x, y) → (y, -x)

b)

(x, y) → (-y, x)

c)

(x, y) → (-x, -y)

82.

dilation with respect to the origin and scale factor of k

a)

(x, y) → (ky, kx)

b)

(x, y) → (kx, ky)