Podcast
Questions and Answers
What is the definition of 'calumny'?
What is the definition of 'calumny'?
Which word describes someone who is critical of others?
Which word describes someone who is critical of others?
What does the word 'camaraderie' refer to?
What does the word 'camaraderie' refer to?
What is the meaning of 'cognizant'?
What is the meaning of 'cognizant'?
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Which word would best describe an action characterized by lively partying?
Which word would best describe an action characterized by lively partying?
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What does 'compunction' signify?
What does 'compunction' signify?
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What is the meaning of 'circumscribe'?
What is the meaning of 'circumscribe'?
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How would you define 'cacophony'?
How would you define 'cacophony'?
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What does the term 'conducive' imply?
What does the term 'conducive' imply?
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What is the primary meaning of 'conduit'?
What is the primary meaning of 'conduit'?
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Which word describes an environment that is friendly and cheerful?
Which word describes an environment that is friendly and cheerful?
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What does the term 'demagogue' refer to?
What does the term 'demagogue' refer to?
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What does 'contusion' refer to?
What does 'contusion' refer to?
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Which of the following best describes something that is 'diaphanous'?
Which of the following best describes something that is 'diaphanous'?
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What is meant by the term 'duplicity'?
What is meant by the term 'duplicity'?
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What does the term 'amass' primarily refer to?
What does the term 'amass' primarily refer to?
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What does the term 'contrite' express?
What does the term 'contrite' express?
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What does 'covet' mean?
What does 'covet' mean?
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Which of the following best defines 'conflate'?
Which of the following best defines 'conflate'?
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The term 'efficacious' means having the power to achieve what?
The term 'efficacious' means having the power to achieve what?
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What does 'disparate' mean?
What does 'disparate' mean?
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What is the meaning of 'dearth'?
What is the meaning of 'dearth'?
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What characteristic does 'desultory' describe?
What characteristic does 'desultory' describe?
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Which word signifies a large, destructive fire?
Which word signifies a large, destructive fire?
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What does 'exhort' mean?
What does 'exhort' mean?
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What does 'ambiguous' imply about a statement or idea?
What does 'ambiguous' imply about a statement or idea?
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Which word best describes a 'dirge'?
Which word best describes a 'dirge'?
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Which option accurately describes 'demarcation'?
Which option accurately describes 'demarcation'?
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In which scenario would one 'evince' something?
In which scenario would one 'evince' something?
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What does 'disrepute' signify?
What does 'disrepute' signify?
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What does the term 'mitigate' suggest?
What does the term 'mitigate' suggest?
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Which of the following describes 'recalcitrant' behavior?
Which of the following describes 'recalcitrant' behavior?
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What does the word 'flagrant' mean?
What does the word 'flagrant' mean?
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Which of the following actions best describes 'expunge'?
Which of the following actions best describes 'expunge'?
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What is the meaning of 'insidious'?
What is the meaning of 'insidious'?
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What does 'intransigent' characterize?
What does 'intransigent' characterize?
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The term 'neophyte' is used to describe someone who is:
The term 'neophyte' is used to describe someone who is:
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What is the meaning of 'grapple'?
What is the meaning of 'grapple'?
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Which of the following best defines 'fortuitous'?
Which of the following best defines 'fortuitous'?
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What does it mean to obfuscate?
What does it mean to obfuscate?
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Which word means 'to prevent from taking place'?
Which word means 'to prevent from taking place'?
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What does the term 'tangible' refer to?
What does the term 'tangible' refer to?
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Which of the following describes someone who is obstinate?
Which of the following describes someone who is obstinate?
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What is the meaning of 'vituperate'?
What is the meaning of 'vituperate'?
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Which word is used to emphasize that something is undoubtedly true?
Which word is used to emphasize that something is undoubtedly true?
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What characteristic describes something that is diaphanous?
What characteristic describes something that is diaphanous?
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What does the term 'subterfuge' refer to?
What does the term 'subterfuge' refer to?
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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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Description
Test your knowledge of essential mathematical rules and formulas across geometry and trigonometry. This quiz covers topics such as the properties of shapes, surface areas, volumes, and key formulas used in calculations. Perfect for students looking to solidify their understanding of these concepts!