50 Math Puzzles for Grade 11

Product description

From the author

Review a range of high-school math topics with fifty numbered questions covering algebra, geometry, right-triangle trigonometry, probability, statistics and one introductory derivative.

The seven-page PDF contains a cover, four question pages and two final-answer pages. Assign selected problems by topic or spread the mixed review over several sessions. Students should show their own reasoning; the key does not include worked solutions.

In the classroom

Teaching tips & learning objectives

Learning objectives

Solve quadratic equations by factoring or the quadratic formula, such as x² - 7x + 10 = 0 and 2x² - 5x - 3 = 0.
Apply right-triangle trigonometry to find a missing side or angle, such as the height reached by a ladder leaning at 30 degrees.
Calculate probability, mean, median and range from given data sets, such as the probability of drawing a blue or green marble from a bag.

Teaching tips

Assign the 50 problems across several sessions rather than one sitting, since the topics range from quadratics through an introductory derivative and cover far more ground than a single lesson.
Use the answer key (pages 6-7) to spot-check a handful of problems per topic rather than grading all 50 by hand.
Group problems by shared skill before assigning them, since the same problem types (quadratic equations, rational expressions, right-triangle trig) recur every few numbers rather than progressing in strict topic order.

Skills covered

Quadratic equation solving — students solve equations such as x² - 7x + 10 = 0 and 2x² - 5x - 3 = 0 by factoring or the quadratic formula (problems 1, 16, 31, 33).
Right-triangle trigonometry — students find missing sides using given angles, such as a ladder reaching a wall at a 30° angle (problems 5, 19, 28, 35, 47).
Probability and statistics — students compute probabilities, means, medians and ranges from small data sets, such as the odds of both dice showing even numbers (problems 9, 10, 21, 29, 37, 48).

Good to know

Questions teachers ask about this resource

Do the 50 problems progress from easier to harder topics in order?

Not strictly. Core problem types such as quadratic equations, rational expressions and right-triangle trigonometry reappear every few numbers throughout the set rather than being grouped together, so students revisit the same skills repeatedly as they work through the numbering.

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Curriculum

Standards, concepts & topics

Standards

HSA-REI.B.4 — Solve quadratic equations in one variable. a. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)2 = q that has the same solutions. Derive the quadratic formula from this form. b. Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.

Core concepts

Quadratic equations
Rational expressions
Trigonometry
Probability and statistics
Functions

Topics

Grade 11 math puzzles Algebra Trigonometry Probability Differentiation

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