Prelims Flashcards

1
Q

●It is a study of numbers and arithmetic operations.

A

Mathematics

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2
Q

BRANCHES OF MATHEMATICS

A

Arithmetic
Trigonometry
Analysis
Algebra
Geometry
Statistics

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3
Q

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

A

Arithmetic

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4
Q

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”.

A

Geometry

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5
Q

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

A

Trigonometry

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6
Q

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.

A

Algebra

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7
Q

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

A

Statistics

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8
Q

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

A

Analysis

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9
Q

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

A

Pattern

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10
Q

Examples of patterns

A

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

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11
Q

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

A

Logic pattern

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12
Q

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.

A

Number pattern

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13
Q

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

A

Geometric pattern

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14
Q

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

A

Word Pattern

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15
Q

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

A

Isometries of the plane

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16
Q

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

A

Transformation

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17
Q

4 kinds if transformation

A

Translation
Rotation
Dilation
Reflection

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18
Q

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

A

translation (or a slide)

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19
Q

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.”

A

reflection (or a flip)

20
Q

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

A

rotation (or a turn)

21
Q

is a transformation which changes the size of an object”

A

Dilation

22
Q

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

A

rigid transformations, or isometric transformations, or isometries

23
Q

Reflections, translations, rotations, and combinations of these three

A

transformations are “rigid transformations”

24
Q

Meaning of isometry in greek

A

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

25
Q

Is a mapping that preserves distance

A

Isometry of the plane

26
Q

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

A

Glide Reflection

27
Q

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

A

Fibonacci sequence

28
Q

The most prominent of these is the Fibonacci spiral on a

A

Natilus shell

29
Q

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

A

Phi

30
Q

A/B =

A

1.618

31
Q

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

A

Logic

32
Q

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

A

proposition or statement

33
Q

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

A

Arguments

34
Q

is a proposition that is true under all circumstances

A

Tautology

35
Q

is a proposition that is always false.

A

A contradiction or an absurdity

36
Q

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

A

Contingency

37
Q

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

A

converse

38
Q
  1. The conditional statement Q →P is the ______ of the implication P →Q
A

contrapositive

39
Q

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

A

inverse

40
Q

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

A

Propositional form

41
Q

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

A

propositional variable

42
Q

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

A

Negation

43
Q

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

A

Negation

44
Q

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.

A

Conjunction

45
Q

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.

A

Disfunction

46
Q

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.

A

Conditional