The ACT math problems can be one of the most daunting problems for most students. Not only do you have to memorize ACT Math Formulas, but you also have limited time to solve every problem with the most accuracy and speed. This can be an exhausting and stressful experience for most students. This is why knowing how to solve ACT math problems faster can be greatly helpful for most students. In this post, we will help you understand the best ways to solve the ACT math problems efficiently. Continue reading the following.
Key Takeaways
- Understand the question types to save time.
- Reduce the steps with mental math and estimation.
- Understanding the common patterns is crucial to increase accuracy.
- You don’t waste time with strategic guessing.
- You get better at shortcuts if you practice them.
Solving ACT Math Problems Faster
Here is how you can do it.
1- Identify and Categorize Question Types
ACT Math follows a predictable structure. The questions include geometry, algebra, trigonometry, and statistics. Understanding the category quickly guides your approach.
- Pre-Algebra & Elementary Algebra
Basic operations, fractions, ratios, and proportions.
- Intermediate Algebra & Coordinate Geometry:
Quadratic equations, functions, inequalities.
- Plane Geometry & Trigonometry:
Angles, circles, triangles, sine, cosine.
By assessing the question you can instantly decide whether to solve it algebraically, geometrically, or use estimation.
2- Use Mental Math and Estimation
Writing every step will do nothing but waste time. However, the estimation will eliminate the choices before fully solving it.
- Instead of multiplying 49 × 51, round to 50 × 50 = 2500.
- For percentage problems, estimate 18% of 210 by taking 10% (21) and doubling it to 42.
Mental calculations are a good choice that makes the choice clearer. This will reduce time spent on simple arithmetic.
3- Recognize Patterns and Shortcuts
You will notice a certain type of question appearing frequently. Understanding them can speed up solutions.
- Pythagorean Triples:
If a right triangle has sides 3 and 4, the hypotenuse is 5.
- Difference of Squares
a2 — b2= (a — b)(a + b). This simplifies expressions faster.
- Quadratic Roots
When you have to write the sum of roots in ax2 + bx + c = 0, use -b/a instead of solving manually.
4- Learn to Plug In Numbers
If the problem has variables, then replace them with the number that usually simplifies the solution.
Example:
Solve for xxx in:
x+3x−2=2\frac{x+3}{x-2} = 2x−2x+3=2
Try plugging in values for xxx from the answer choices instead of solving algebraically.
This works best for:
- Algebraic fractions
- Word problems
- Ratio and percentage problems
5- Use Answer Choices to Your Advantage
Sometimes working backward is faster than going forward.
Example:
Solve for xxx in:
x2−5x+6=0x^2 – 5x + 6 = 0x2−5x+6=0
Test the answer choices instead of factoring. Try them out and see which one works.
This is useful for:
- Quadratic equations
- Exponent problems
- Inequalities
6- Prioritize the Easy Questions
You don’t get tougher questions gradually in ACT Math questions. Sometimes get toughest questions appear early. Some simple ones appear later.
Strategy:
- First Pass: Answer all easy and medium questions first. If a problem looks complex, skip it and return later.
- Second Pass: Tackle the harder problems with the remaining time.
- Final Pass: If time is running out, make an educated guess. No penalty for wrong answers.
7- Avoid Common Mistakes That Waste Time
Many students make mistakes which slows them down. However, those can easily be avoided.
Keep An Eye On:
- Misreading the question and not underlining the key details.
- Always double-check signs in equations.
- Do not skip the steps in mental math. Write out small steps to prevent mistakes.
- Do not overcomplicate simple problems. Opt for direct solutions instead of complex calculations.
Speed isn’t everything. Careless mistakes cost the same as wrong answers.
8. Manage Your Time Effectively
A perfect ACT Math score is all about balancing speed and accuracy.
Time Strategy:
- First 20 questions: Aim for 30 seconds per question. These are easier.
- Next 20 questions: Allow up to 60 seconds per question.
- Last 20 questions: Use any extra time here. These are harder.
Skip questions that take more than 90 seconds. Stay on track.
9- Practice with Real ACT Tests
The best way to prepare for the ACT Math is by using the official ACT questions. These practice tests simulate the real test environment and scenarios, i.e., no pausing, strict timing, and no distractions for the best preparation. They will show you the exact difficulty and format you will encounter. One great resource for ACT preparation is IVY Tutors, which provides structured guidance to help students refine their test-taking approach.
Conclusion
Solving the ACT Math problems faster is all about efficiency, pattern recognition, and strategy. Working on mental math learning when to use a calculator and applying shortcuts will save time. Practice with real tests to build speed and accuracy under pressure. These techniques will help you approach the ACT Math section with confidence and contro