Prelims

Question 1

●It is a study of numbers and arithmetic operations.

Answer 1

Mathematics

Question 2

BRANCHES OF MATHEMATICS

Answer 2

Arithmetic
Trigonometry
Analysis
Algebra
Geometry
Statistics

Question 3

branch of mathematics that deals with the study of numbers using various operations on them.

Answer 3

Arithmetic

Question 4

branch of mathematics that primarily deals with the shapes and sizes of objects, their relative position, and the properties of space. It comes from the Ancient Greek words geo- “earth”, and metron “measurement”.

Answer 4

Geometry

Question 5

branch of mathematics that studies relationships between side lengths and angles of triangles.

Answer 5

Trigonometry

Question 6

branch of mathematics in which arithmetical operations and formal manipulations are applied to abstract symbols rather than specific numbers. It is the study of the mathematical symbols and the rules, and it involves the manipulation of these mathematical symbols.

Answer 6

Algebra

Question 7

the study of the collection, analysis, interpretation, presentation, and organization of data. In other words, it is a mathematical discipline to collect, summarize data.

Answer 7

Statistics

Question 8

the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite sequences, series, and analytic functions.

Answer 8

Analysis

Question 9

is something which helps us anticipate what we might see or expect to happen next.

Answer 9

Pattern

Question 10

Examples of patterns

Answer 10

●Logic Patterns
●Number Patterns
●Geometric Patterns
●Word Patterns

Question 11

is the ability to discover meaningful patterns in strange and unpredictable situations.

Answer 11

Logic pattern

Question 12

is a sequence of number that are formed in accordance with a definite rule. We can often describe number patterns in more than one way.

Answer 12

Number pattern

Question 13

is a pattern that represented by geometrical figures such as polygons and isometric shapes.

Answer 13

Geometric pattern

Question 14

are represented by jumbled words and analyzed the hidden logic in it.

Answer 14

Word Pattern

Question 15

A pattern has symmetry if there is an isometry of the plane that preserves the pattern.

Answer 15

Isometries of the plane

Question 16

is a process which shifts points of the plane to possibly new locations on the plane.

Answer 16

Transformation

Question 17

4 kinds if transformation

Answer 17

Translation
Rotation
Dilation
Reflection

Question 18

moves a shape in a given direction by sliding it up, down, sideways, or diagonally.”

Answer 18

translation (or a slide)

Question 19

can be thought of a getting a mirror image. It has a line of reflection or mirror line where the distance between the image and the mirror line is the same as that between the original figure and the mirror line.”

Answer 19

reflection (or a flip)

Question 20

has a point about which the rotation is made and an angle that says how far to rotate.”

Answer 20

rotation (or a turn)

Question 21

is a transformation which changes the size of an object”

Answer 21

Dilation

Question 22

Transformations which leave the dimensions of the object and its image unchanged are called

Answer 22

rigid transformations, or isometric transformations, or isometries

Question 23

Reflections, translations, rotations, and combinations of these three

Answer 23

transformations are “rigid transformations”

Question 24

Meaning of isometry in greek

Answer 24

“iso” : Greek for “the same”
“metry/metria” : Greek for “measure”

Question 25

Is a mapping that preserves distance

Answer 25

Isometry of the plane

Question 26

A reflection followed by a translation or vice versa is called a glide reflection

Answer 26

Glide Reflection

Question 27

begins with one or zero. Each of the subsequent number is the sum of the two preceding numbers;

Answer 27

Fibonacci sequence

Question 28

The most prominent of these is the Fibonacci spiral on a

Answer 28

Natilus shell

Question 29

Is define as the limit of the ratio if fib (n-1) mathematically number is

Answer 29

Phi

Question 30

A/B =

Answer 30

1.618

Question 31

is the formal systematic study of the principles of valid inference and correct reasoning.

Answer 31

Logic

Question 32

is defined as a declarative sentence that is either true or false, but not both simultaneously.

Answer 32

proposition or statement

Question 33

are made up of propositions. The reasoning used in an argument may be correct or not.

Answer 33

Arguments

Question 34

is a proposition that is true under all circumstances

Answer 34

Tautology

Question 35

is a proposition that is always false.

Answer 35

A contradiction or an absurdity

Question 36

is a proposition which is neither a tautology nor a contradiction.

Answer 36

Contingency

Question 37

. The conditional statement Q →P is called the ______of the implication P →Q

Answer 37

converse

Question 38

2. The conditional statement Q →P is the ______ of the implication P →Q

Answer 38

contrapositive

Question 39

The conditional statement P →Q is the of the implication of P →Q

Answer 39

inverse

Question 40

. An assertion which contains at least one proposition variable is called a

Answer 40

Propositional form

Question 41

represented by a lowercase or capital letter in the English alphabet denotes an arbitrary proposition with an unspecified truth value.

Answer 41

propositional variable

Question 42

is a statement that is a refusal or denial of some other statement.

Answer 42

Negation

Question 43

of a true statement is false, and the negation of a false statement is true.

Answer 43

Negation

Question 44

is false when at least one of the conjuncts P or Q is false. When both P and Q are true, then their conjunction is true.

Answer 44

Conjunction

Question 45

The proposition P Q is true when at least one of the propositions P or Q is true. It is false when both P and Q are false.

Answer 45

Disfunction

Question 46

The promise is broken in situation 2 where the premise is satisfied but the conclusion of the statement is not fulfilled. Only then will the implication become false.

Answer 46

Conditional