Exploring Mathematics Chapters 5-8

Question 1

1, 1, 2, 3, 5, 8, 13, …

Answer 1

Fibonacci numbers

Question 2

1, 3, 6, 10, 15, …

Answer 2

triangular numbers

Question 3

1, 4, 9, 16, 25, …

Answer 3

square numbers

Question 4

1881, 121, 1001

Answer 4

palindromes

Question 5

2, 3, 5, 7, 11, 13, …

Answer 5

prime numbers

Question 6

2L + 2W

Answer 6

perimeter of a rectangle

Question 7

4S

Answer 7

perimeter of a square

Question 8

a mirror of this shape will focus sunlight

Answer 8

parabola

Question 9

a polygon with five sides

Answer 9

pentagon

Question 10

a polygon with three sides and one right angle

Answer 10

right triangle

Question 11

a quadrilateral with opposite sides parallel and equal in length

Answer 11

rectangle

Question 12

a rectangle with four equal sides

Answer 12

square

Question 13

A whispering gallery has a shape like

Answer 13

ellipse

Question 14

Ah

Answer 14

Volume

Question 15

all points are the same distance from the center

Answer 15

circle

Question 16

ancient Greek who worked out a way to show large numbers that he called myriads

Answer 16

Archimedes

Question 17

discovered that the sum of the 3 angles of any triangle is 180 degrees

Answer 17

Pythagoras

Question 18

Does a billion have the same meaning in England and United States?

Answer 18

no

Question 19

Doubling the length, width, and height of a box gives it a volume

Answer 19

eight times as great

Question 20

is not a polygon

Answer 20

circle

Question 21

L x W

Answer 21

area of a rectangle

Question 22

Mathematics is sometimes called the ___ of science

Answer 22

handmaiden

Question 23

Of the prefixes giga, mega, and tera, the one that has the greatest value is

Answer 23

tera

Question 24

proved planets follow elliptical orbits

Answer 24

Johannes Kepler

Question 25

S²

Answer 25

area of a square

Question 26

The Egyptian knotted rope was used to measure out

Answer 26

a triangle with a right angle

Question 27

the first part of the name means over or beyond

Answer 27

hyperbola

Question 28

The next Fibonacci number after 89 and 144 is ___.

Answer 28

233

Question 29

the orbit of Haley’s comet is of this shape

Answer 29

ellipse

Question 30

The prefix bi means

Answer 30

two

Question 31

The sum of the _______________ of the legs of a right triangle are equal to the _______________ of the hypotenuse.

Answer 31

squares, square

Question 32

used ratios to find the heights of buildings

Answer 32

Thales

Question 33

wrote Elements of Geometry

Answer 33

Euclid

Question 34

___ introduced the use of place value and the numeral 0 to Europe.

Answer 34

Leonardo Fibonacci

Question 35

∏r²

Answer 35

area of a circle

Question 36

The study of the properties of whole numbers is called

Answer 36

number theory