Grade 11 Quizzes, Questions & Answers
Recent Grade 11 Quizzes
Take a graph with a moved peak, trough, or midline crossing and write its exact equation. You’ll keep the amplitude and period the same while locking in the correct shift. Clear steps, neat algebra, and lots of reps to...
Questions: 20 | Attempts: 10 | Last updated: Jan 22, 2026
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Sample QuestionWhich equation represents the graph of y = sin(x) shifted π/3 units to the right?
Turn a secant graph into an equation. You’ll read the distance between asymptotes to get the period, use the vertex height to find the vertical scale and shift, and pinpoint the phase shift from the vertex location. Then...
Questions: 20 | Attempts: 10 | Last updated: Jan 22, 2026
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Sample QuestionA secant graph has period π, vertical asymptotes at x = −3π/4, −π/4, π/4, 3π/4, … and a minimum value of y = −2 at x = 0.
See how secant rides on cosine! You’ll use the reciprocal relationship to place vertical asymptotes where cosine is zero, find the U-shaped branches, and read the period, shifts, and reflections from the equation. By the...
Questions: 20 | Attempts: 10 | Last updated: Jan 22, 2026
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Sample QuestionWhat is the relationship between the secant function and the cosine function?
From sketch to symbol! You’ll read off asymptotes and intercepts, note whether the graph is decreasing, and then write the cotangent equation that matches. Expect practice picking the right period and phase shift so your...
Questions: 20 | Attempts: 10 | Last updated: Jan 22, 2026
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Sample QuestionA cotangent graph has vertical asymptotes at x = 0 and x = π, and an x-intercept at x = π/2. Which equation matches?
Meet cotangent’s signature look: decreasing curves between evenly spaced asymptotes. In this quiz, you’ll find the period, zeros, and asymptotes, and you’ll see how vertical stretches, reflections, and...
Questions: 21 | Attempts: 11 | Last updated: Jan 22, 2026
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Sample QuestionWhat is the period of y = cot(x)?
Can you build the exact equation from a picture? Here you’ll use the spacing between asymptotes to get the period, read the midline from the graph, and find the center point to nail the phase shift. Put it all together to...
Questions: 20 | Attempts: 10 | Last updated: Jan 22, 2026
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Sample QuestionThe tangent graph of y = a tan (bx − π/4) has a period of π/2. Which value of b makes this true?
Ready to read tangent graphs like a pro? In this quiz, you’ll spot the period, find vertical asymptotes, and locate the “S-shaped” inflection point that sits on the midline. You’ll match equations to...
Questions: 20 | Attempts: 11 | Last updated: Jan 22, 2026
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Sample QuestionThe function y = 3 tan(2x) has which fundamental period?
Get ready to explore how one angle can double the excitement! In this quiz, you’ll prove and derive the double-angle formulas for sine, cosine, and tangent — including sin(2θ) = 2sinθcosθ and...
Questions: 20 | Attempts: 11 | Last updated: Jan 22, 2026
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Sample QuestionWhich identity is correct for all real θ?
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: 23 | 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).
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