Grade 11 Quizzes , Questions & Answers
Recent Grade 11 Quizzes
Now that you know the double-angle formulas, it’s time to apply them! This quiz focuses on simplifying and evaluating expressions using double-angle identities. You’ll use relationships like cos(2θ) = 1 −...
Questions: 20 | Attempts: 37 | Last updated: Jan 22, 2026
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Sample QuestionSimplify sin(2θ) when sinθ = 4/5 and θ is in Quadrant II.
Can you simplify tricky trig expressions using symmetry rules? In this quiz, you’ll apply the even–odd identities to expressions that mix positive and negative angles. You’ll combine, compare, and simplify terms...
Questions: 20 | Attempts: 10 | Last updated: Jan 22, 2026
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Sample QuestionSimplify using even/odd: sin(−x) + sin(x).
Speed round: convert between tan, cot, sec, csc and sin/cos to simplify, verify identities, and evaluate at common angles. Expect reciprocal/quotient swaps, cancellations, and quick checks of “both sides defined” to...
Questions: 20 | Attempts: 84 | Last updated: Jan 22, 2026
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Sample QuestionSimplify: (sin x)/(cos x)
Turn definitions into shortcuts. Expect quick simplifications (like sin·csc = 1), sign checks by quadrant, and triangle/unit-circle setups to evaluate sec, csc, and cot. You’ll choose the fastest path from mixed...
Questions: 20 | Attempts: 17 | Last updated: Jan 22, 2026
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Sample QuestionSimplify: sinθ/cscθ + cosθ/secθ
Go from “know it” to “show it.” You’ll prove sin²θ + cos²θ = 1 from the unit circle, generate the derived forms (1 + tan²θ = sec²θ and 1 + cot²θ...
Questions: 20 | Attempts: 181 | Last updated: Jan 22, 2026
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Sample QuestionWhich expression equals 1 by the Pythagorean identity?
Ready to see how weighted means work in real life? This quiz will help you apply weighted averages in various scenarios—from smoothie sales to investment portfolios and even survey results. You’ll calculate the...
Questions: 26 | Attempts: 10 | Last updated: Jan 22, 2026
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Sample QuestionWhat is the weighted average price per smoothie sold that day?
Distance matters. In this quiz, you’ll practice checking the properties that define a metric. Take this quiz to build intuition for metric spaces.
Questions: 15 | Attempts: 13 | Last updated: Jan 21, 2026
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Sample QuestionA metric on a set X is a function d: X×X → ℝ such that:
Once you know compact sets, can you use them? In this quiz, you’ll apply compactness in proofs and reasoning tasks. Try this quiz to strengthen higher-level problem solving.
Questions: 15 | Attempts: 13 | Last updated: Jan 21, 2026
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Sample QuestionA continuous function on a compact set is always bounded.
What makes a set compact? In this quiz, you’ll explore compactness by analyzing how open covers work. Try this quiz to deepen your understanding.
Questions: 15 | Attempts: 10 | Last updated: Jan 21, 2026
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Sample QuestionWhich of the following is an open cover of [0,2]?
Beyond the basics! This quiz brings complex problems and abstract reasoning about open covers. Try this quiz to challenge your grasp of compactness.
Questions: 14 | Attempts: 11 | Last updated: Jan 21, 2026
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Sample QuestionEvery closed interval in ℝ is compact.
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