Mathematics Formulas and Rules Quiz

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Questions and Answers

What is the definition of 'calumny'?

  • An act of slander (correct)
  • A quality of being honest
  • A mixture of discordant sounds
  • A type of friendship

Which word describes someone who is critical of others?

  • Censorious (correct)
  • Callous
  • Candid
  • Cajole

What does the word 'camaraderie' refer to?

  • An evasive conversation
  • A sudden disaster
  • A lively party
  • Friendship (correct)

What is the meaning of 'cognizant'?

<p>Having knowledge of (A)</p> Signup and view all the answers

Which word would best describe an action characterized by lively partying?

<p>Carouse (D)</p> Signup and view all the answers

What does 'compunction' signify?

<p>A sense of guilt (C)</p> Signup and view all the answers

What is the meaning of 'circumscribe'?

<p>To draw limits around something (D)</p> Signup and view all the answers

How would you define 'cacophony'?

<p>A discordant mixture of sounds (D)</p> Signup and view all the answers

What does the term 'conducive' imply?

<p>Helps produce positive results (D)</p> Signup and view all the answers

What is the primary meaning of 'conduit'?

<p>A channel for transportation (C)</p> Signup and view all the answers

Which word describes an environment that is friendly and cheerful?

<p>Convivial (A)</p> Signup and view all the answers

What does the term 'demagogue' refer to?

<p>A political leader who appeals to the prejudices of the common people (C)</p> Signup and view all the answers

What does 'contusion' refer to?

<p>A bruise (D)</p> Signup and view all the answers

Which of the following best describes something that is 'diaphanous'?

<p>Light and translucent (C)</p> Signup and view all the answers

What is meant by the term 'duplicity'?

<p>Deceitfulness (A)</p> Signup and view all the answers

What does the term 'amass' primarily refer to?

<p>To gather together gradually (A)</p> Signup and view all the answers

What does the term 'contrite' express?

<p>Feeling of remorse or guilt (A)</p> Signup and view all the answers

What does 'covet' mean?

<p>To want greatly (B)</p> Signup and view all the answers

Which of the following best defines 'conflate'?

<p>To combine multiple ideas (C)</p> Signup and view all the answers

The term 'efficacious' means having the power to achieve what?

<p>A particular result (B)</p> Signup and view all the answers

What does 'disparate' mean?

<p>Different from one another (D)</p> Signup and view all the answers

What is the meaning of 'dearth'?

<p>A lack of something (C)</p> Signup and view all the answers

What characteristic does 'desultory' describe?

<p>Lacking purpose or organization (A)</p> Signup and view all the answers

Which word signifies a large, destructive fire?

<p>Conflagration (C)</p> Signup and view all the answers

What does 'exhort' mean?

<p>To strongly encourage or urge someone to do something (A)</p> Signup and view all the answers

What does 'ambiguous' imply about a statement or idea?

<p>It offers multiple interpretations (B)</p> Signup and view all the answers

Which word best describes a 'dirge'?

<p>A song of lament for the dead (A)</p> Signup and view all the answers

Which option accurately describes 'demarcation'?

<p>Establishment of clear boundaries (C)</p> Signup and view all the answers

In which scenario would one 'evince' something?

<p>To clearly show or prove something (D)</p> Signup and view all the answers

What does 'disrepute' signify?

<p>State of disgrace (C)</p> Signup and view all the answers

What does the term 'mitigate' suggest?

<p>To lessen or alleviate (A)</p> Signup and view all the answers

Which of the following describes 'recalcitrant' behavior?

<p>Extremely stubborn and defiant (D)</p> Signup and view all the answers

What does the word 'flagrant' mean?

<p>obviously offensive (C)</p> Signup and view all the answers

Which of the following actions best describes 'expunge'?

<p>to get rid of (B)</p> Signup and view all the answers

What is the meaning of 'insidious'?

<p>harmful in a subtle way (A)</p> Signup and view all the answers

What does 'intransigent' characterize?

<p>stubborn and unwilling to change (A)</p> Signup and view all the answers

The term 'neophyte' is used to describe someone who is:

<p>new to a subject or skill (A)</p> Signup and view all the answers

What is the meaning of 'grapple'?

<p>to wrestle or struggle with (A)</p> Signup and view all the answers

Which of the following best defines 'fortuitous'?

<p>occurring by luck or chance (C)</p> Signup and view all the answers

What does it mean to obfuscate?

<p>To render unclear or bewilder someone (D)</p> Signup and view all the answers

Which word means 'to prevent from taking place'?

<p>Preclude (D)</p> Signup and view all the answers

What does the term 'tangible' refer to?

<p>Something perceptible by touch (C)</p> Signup and view all the answers

Which of the following describes someone who is obstinate?

<p>Obdurate (C)</p> Signup and view all the answers

What is the meaning of 'vituperate'?

<p>To blame or insult someone strongly (C)</p> Signup and view all the answers

Which word is used to emphasize that something is undoubtedly true?

<p>Veritable (C)</p> Signup and view all the answers

What characteristic describes something that is diaphanous?

<p>Translucent and light (B)</p> Signup and view all the answers

What does the term 'subterfuge' refer to?

<p>Deceit used to achieve a goal (A)</p> Signup and view all the answers

Flashcards

Amass

To gather or accumulate over time.

Conflate

To combine multiple ideas or things into one.

Desultory

Lacking a plan or purpose; erratic.

Ambiguous

Having more than one possible meaning.

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Demarcation

Marking a boundary line.

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Mitigate

To lessen something's severity.

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Nebulous

Uncertain or vague.

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Recalcitrant

Stubborn and unwilling to obey.

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Cacophony

A harsh, unpleasant mixture of sounds.

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Cajole

To persuade someone sweetly or gently, often through flattery.

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Callous

Showing a cruel lack of sympathy or feeling for others.

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Calumny

Making false and damaging statements about someone.

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Camaraderie

A feeling of mutual trust and friendship among people who share a common goal.

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Candid

Honest and straightforward in speech or expression.

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Candor

The quality of being honest and straightforward.

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Carouse

To engage in boisterous drinking and partying.

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Concomitant

Naturally accompanying or existing together with something else.

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Conducive

Helping to produce a positive or desired result.

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Conflagration

A large and destructive fire.

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Connive

To secretly plan or conspire to do something wrong.

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Consign

To deliver or entrust something to someone else's care.

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Constituent

A part or component of a larger whole.

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Constructive

Helpful and useful in producing something positive.

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Exhort

To strongly encourage someone to do something.

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Grapple

To wrestle, physically or mentally.

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Flagrant

Obviously offensive.

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Emulate

To imitate.

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Extraneous

Irrelevant.

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Fortuitous

Happening by chance.

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Expunge

To get rid of.

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Impetuous

Acting without care.

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Obfuscate

To make something unclear or confusing.

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Tangible

Something that can be touched or felt.

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Preclude

To prevent something from happening.

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Veritable

Used to emphasize that something is truly or undoubtedly something.

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Profound

Showing deep knowledge or insight.

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Vituperate

To blame or insult someone strongly.

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Penchant

A strong liking or tendency towards something.

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Demagogue

A political leader who manipulates people's emotions and prejudices to gain power.

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Demur

To hesitate or object to something.

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Denigrate

To criticize someone or something harshly.

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Despot

A ruler with absolute power, often harsh and tyrannical.

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Diaphanous

Light and translucent; so thin that you can see through it.

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Dirge

A mournful song or piece of music, especially for a funeral.

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Discomfit

To make someone uncomfortable or embarrassed.

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Disparate

Very different or distinct.

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Study Notes

Mathematical Rules and Formulas

  • Circle inscribed in a square: Side = diameter = 2r; radius (r) = side/2; diagonal = side × √2
  • Square inscribed in a circle: Diagonal = diameter = 2r; diagonal = side × √2
  • Volume of a cube: Side cubed (S³)
  • Surface area of a cube: 6 × side² (6S²)
  • Surface area of a cylinder: 2πr² + 2πrh
  • Surface area of a rectangular prism: 2(lw + wh + lh)
  • Surface area of any prism: Perimeter of base × height + 2 × base area
  • Surface area of a square pyramid: 2 × (side × slant height) + base area
  • Surface area of a right prism: 2 × base area + perimeter of base × height
  • Surface area of a cone: πr² + πrs
  • Surface area of a sphere: 4πr²
  • Total cost: Volume × unit cost
  • Density: Mass/Volume or mass/population

Geometry and Trigonometry

  • Congruent triangles: SSS, SAS, ASA, AAS, HL
  • Similar triangles: SSS, SAS, AA
  • Slope formula: (y₂ - y₁)/(x₂ - x₁)
  • Quadratic formula: x = (-b ± √(b² - 4ac))/2a
  • Standard form of a circle: (x - h)² + (y - k)² = r²
  • Circumference of a circle: 2πr
  • Length of an arc: (θ/360) × 2πr
  • Area of a sector: (θ/360) × πr²
  • Cosine rule: cos X = adjacent/hypotenuse
  • Sine rule: sin X = opposite/hypotenuse
  • Tangent rule: tan X = opposite/adjacent
  • 60-30-90 triangle: Sides are in the ratio 1:√3:2
  • 45-45-90 triangle: Sides are in the ratio 1:1:√2
  • Special triangles (with angles and side lengths)

Other Formulas and Concepts

  • Sum of interior angles of a polygon: (n - 2) × 180°
  • Sum of exterior angles of a polygon: 360°
  • Each interior angle of a regular polygon: (n - 2) × 180°/n
  • Each exterior angle of a regular polygon: 360°/n
  • Radian measure: relationship between degree and radian
  • Special triangles
  • Quadratic equations (solving by factorization or quadratic formula)

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