Grade 12 Quizzes, Questions & Answers
Recent Grade 12 Quizzes
Put it all together—proofs, simplifications, and quick evaluations using the Pythagorean family. You’ll flip between tan/sec and cot/csc forms, verify identities, and use triangles or the unit circle to pin down exact...
Questions: 20 | Attempts: 11 | Last updated: Jan 22, 2026
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Sample QuestionWhich identity is equivalent to 1 + tan²(θ) = sec²(θ)?
Not every “distance” is a metric! In this quiz, you’ll explore counterexamples and real applications of metric definitions. Try this quiz to sharpen reasoning in analysis.
Questions: 15 | Attempts: 20 | Last updated: Jan 21, 2026
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Sample QuestionWhich of these defines a metric on ℝ?
Not all sets are compact. In this quiz, you’ll explore the definition and learn what truly makes a set compact. Take this quiz to get clarity on compactness.
Questions: 15 | Attempts: 10 | Last updated: Jan 21, 2026
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Sample QuestionWhich sequence property is equivalent to compactness in ℝ?
Now it’s time to apply. In this quiz, you’ll solve problems that require reasoning with open covers. Take this quiz to test your compactness skills.
Questions: 15 | Attempts: 10 | Last updated: Jan 21, 2026
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Sample QuestionCompactness means:
Covers and subsets can feel abstract. In this quiz, you’ll get comfortable identifying open covers and their role in compactness. Take this quiz to build foundational intuition.
Questions: 15 | Attempts: 10 | Last updated: Jan 21, 2026
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Sample QuestionAn open cover of a set is:
Closure is about explanation as much as calculation. In this quiz, you’ll reason why certain sets are (or aren’t) closed. Try this quiz to strengthen mathematical logic.
Questions: 15 | Attempts: 10 | Last updated: Jan 21, 2026
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Sample QuestionClosure under one operation implies closure under all?
Explore whether operations keep you “inside” a set. In this quiz, you’ll test closure across integers, rationals, and reals. Try this quiz to learn the basics of closure.
Questions: 15 | Attempts: 11 | Last updated: Jan 21, 2026
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Sample QuestionA set is closed under an operation if:
Sets have their own precise language. In this quiz, you’ll read, write, and interpret set notation with accuracy. Try this quiz to build fluency in mathematical communication.
Questions: 20 | Attempts: 21 | Last updated: Jan 21, 2026
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Sample QuestionWhich of the following represents a set?
Take simplification to the next level! This quiz challenges you with advanced Karnaugh map problems requiring careful grouping and insight. Try this quiz to push your Boolean algebra skills.
Questions: 15 | Attempts: 11 | Last updated: Jan 21, 2026
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Sample QuestionF(W,X,Y,Z)=Σm(0,2,8,10)F(W,X,Y,Z)=\Sigma m(0,2,8,10)F(W,X,Y,Z)=Σm(0,2,8,10). Minimal SOP:
Ever wonder what’s outside a set or what’s left over when you subtract one set from another? Complements and differences are key tools in set theory that help describe exactly that. In this quiz, you’ll practice...
Questions: 10 | Attempts: 13 | Last updated: Jan 21, 2026
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Sample QuestionIf U={1,2,3,4,5,6}, A={2,4,6}, find A′−A.
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