Getting a perfect 36 in ACT Math might sound tough, but it’s not out of reach. With the right plan and some steady effort, you can get there. At The Princeton Review Singapore, we’ve seen all kinds of students improve those starting in the 20s, aiming for the mid-30s, and even top scorers wanting that final push. It’s not just about memorizing math facts. You need the right approach, the focus to apply what you know, and practice that builds confidence.
The ACT Math section is based on topics you’ve already seen algebra, geometry, trigonometry, and a little probability. The tricky part? The way the test asks the questions. You might have to use two or three concepts at the same time, think fast, and stay accurate. That’s why the jump from a 20 to a 35 isn’t only about learning more it’s about practicing smarter. In this guide, we’ll cover:
- Why aiming for a 36 can help with your university goals.
- What top performance really looks like.
- Simple strategies that work to raise your ACT Math score.
If you’re thinking about applying to a top school, or just want to lift your overall score, this guide will give you practical tips, clear methods, and the confidence to do your best. Let’s dive in.
Why a 36 in ACT Math Really Counts
Scoring a 36 in ACT Math isn’t just about hitting the highest mark it’s proof that you can think on your feet, solve problems fast, and work with different math ideas confidently. Sure, many universities see a 34 or 35 as excellent, but that extra point can be the edge you need.
1. Standing Out to Top Universities
Places like MIT, Caltech, and the Ivy League get flooded with strong applicants. A perfect Math score tells them you’ve got serious quantitative skills exactly what they want for demanding STEM courses.
2. Boosting Your Overall ACT
If your other sections aren’t as high, Math can make up the difference. A 36 in Math alongside, say, a 32 in Reading still keeps your overall score competitive.
3. Key for STEM or Business Goals
Engineering, science, mathematics, business these areas expect you to be strong with numbers from day one. That top Math score also opens doors to scholarships and competitive programs.
At The Princeton Review Singapore, we’ve helped students in the 20s, 30s, and everywhere in between push higher. With the right plan, practice, and guidance, that 36 isn’t a dream it’s a goal you can reach.
Why Aim for a Perfect 36 in ACT Math
Standing Out to Top Universities. Hitting a perfect score in ACT Math sets you apart as an outstanding candidate for elite schools like Harvard, Princeton, and MIT. It’s like getting an 800 on the SAT Math section and really shows off your advanced problem-solving skills. Important for STEM Aspirations. If you’re planning on diving into math, engineering, physics, or computer science, scoring a 36 in Math shows you’re ready for the tough classes and competitive programs ahead. Boost Your Scholarship Chances. A lot of merit-based scholarships take ACT scores seriously. A high score in Math can really give you an edge when applying for financial aid or scholarship opportunities. At The Princeton Review Singapore, we know what it takes to get that perfect 36. Our proven strategies, practice materials, and expert coaching are all set up to help you hit your goal.
Path to a 36: Smart Methods to Ace ACT Math
The ACT Math section can get a 36 if you really want one. It’s never impossible with some quality prep; just engage in the process, put in the work, and stay consistent. At The Princeton Review Singapore, we believe in a systematic approach which is based on a mastery of the fundamentals, familiarity with the exam format, and developed test-taking skills.
Why It’s Possible to Achieve a 36
The ACT Math section will involve high school math – primarily algebra, geometry, trigonometry, and probability, etc. However, math does not simply mean memorizing formulas. You have to think critically and draw some conclusions about the problems you’ll see. It is important to be able to place those math constructs from your course work into complex, often novel problems.
If you have a good study schedule, quality practice materials, and some great problem-solving strategies, you can definitely improve your chances and set your sights on that ACT math perfect score of 36.
Now, here are a problem to consider:
In the equation
x2+ mx + n = 0𝒙𝟐+ 𝒎𝒙 + 𝒏 = 𝟎
,
where m and n are integers, the only possible value for x is −3. What is the value of m?
A. 3
B. -3
C. 6
D. -6
E. 9
At first glance, this problem appears straightforward, but it requires a deeper understanding of quadratic equations. Since -3 is the only solution, the equation must be a perfect square, written as:
(x+3)2= 0x+32= 0
Expanding this equation results in:
x2+ 6x + 9 = 0x2+ 6x + 9 = 0
x2+ mx + n = 0x2+ mx + n = 0
Comparing with the given quadratic equation, it is evident that m = 6. This problem highlights the importance of not just memorizing formulas but also understanding how to apply them strategically.
Why is this the ACT Math Section so Different?
The ACT math section is designed to judge students on their ability to apply basic math concepts to different types of problems. While other standardized tests may go so far as to incorporate advanced topics like calculus, the ACT math section only assesses high school math (algebra, geometry, trigonometry, and probability). In fact, the true way that the test is separating students from one another is in taking these same topics and presenting them in way that require more reasoning than memorization.
For example, if the test asked “What is the value of x if x² + 6x + 9 = 0*?” most students would quickly process that it is a perfect square and solve for x. But if the test asked the same question in terms of m in quadratic equation with one root now students have to think and apply their math reasoning.
Effective Strategies to Excel on ACT Math
Know the fundamentals: Having a strong grasp of the fundamental mathematics is necessary. You need to know algebra, geometry, trigonometry, and probability well enough to solve many different types of questions.
Practice purposefully: This means you get to know the way the test is formatted and the question types by working through a substantial amount of official ACT practice questions. You want to be familiar with not only the academic content, but also how the questions are phrased and what the question is asking you to determine.
Think about your errors: If you’re reviewing your test or practice test, you should reflect on the errors that you made. Look for patterns in your errors and create a strategy to avoid repeating those errors next time.
Be a more effective problem solver: The ACT test was written for students with the creativity and ability to apply what they know to new problems. Practice solving problems in multiple ways to improve your flexibility as a problem solver.
The Pathway to a Perfect Score
Getting a 36 on the Math section of the ACT means you have answered nearly every question correctly on practice tests and questions. Although you are able to get a 36 and potentially have answered one question incorrectly through the ACT’s scoring methodology, the proper goal is to answer everything correctly so you can be as confident as possible in your raw scores being as high as possible.
At The Princeton Review Singapore, we are dedicated to giving students the skills and strategies to prepare for the ACT. Through a focus on learning and understanding concepts, strategic and tactical thinking during the practice process, and through continuous improvement, students can improve upon their scores and in turn, their overall college application. With the right mindset and purposeful and deliberate learning, a perfect score in ACT Math is indeed possible.
Competencies Aiming to Earn a 36 on the ACT Math Section
There’s no doubt that you have learned a great deal about the ACT scoring process and developed an intense study schedule, now you are prepared for the fight to earn yourself a 36 in the ACT Math section. After you see how a raw score converts to a scaled score, you will begin with a specific focus and plan of action to achieve that goal, while measuring the results along the way.
Understanding the Scoring Process
The scoring of the ACT Math testing sections is based upon a scale of 1 to 36. A raw score (how many questions you get right on the test) is then converted to a scaled score. The tables below give you an overview of how raw scores will typically convert to scaled scores.
| Scaled Score | Raw Score (Correct Answers) |
| 36 | 59-60 |
| 35 | 57-58 |
| 34 | 55-56 |
| 33 | 54 |
| 32 | 53 |
| 31 | 52 |
| 30 | 50-51 |
| 29 | 49 |
| 28 | 47-48 |
To gain a score of 36, the goal will be to get 59 out of 60 questions correct. While the scoring curve allows you to miss one question and gain a score of 36, it all depends on the given test. Therefore, it is always best to try to get everything correct in your practice tests – this will obviously increase your chances of getting high!
Why You Should Try To Be Perfect
While you may think that missing one question will still allow you to attain a 36, the nature of ACT scoring means that there is often a good deal of randomness in the scoring process and one question could possibly have an impact. Therefore, you should try to be perfect in practice – that means performing each concept accurately, as well as removing careless mistakes!
Bridging That Gap
If you are scoring less than a 36, try to figure out how many additional correct answers you will need to make. For example, if you go from a 30 to a 36, you will likely be shooting for about 10, right?” “By dedicated practice in those weak areas and becoming comfortable with the question types that tend to occur frequently can help you bridge that gap.
Success Through Focused Practice
The full-length timed practice exams are an important part of your study both to recreate test day conditions but also so that you can take a close look at your mistakes, and how to improve. Think closely about your process in solving the problems; this will help with both accuracy and confidence approaching that perfect score.
You don’t need to imagine yourself scoring a 36 on the ACT Math – you can do it if you have a plan for reaching that ability level. If you’re really dedicated to performance (and chasing perfect), and you embrace competition by being proactive in practice and by taking a deeper dive on your weaknesses, then you are already ready to improve. We would love to help you reach your best potential and get those amazing scores at The Princeton Review Singapore!
Strategies to Achieve a 36 on ACT Math
Step 1 – Figure Out What’s Really Holding You Back
Before you start chasing that perfect 36 in ACT Math, it helps to know exactly what’s tripping you up. For some students, it’s the math itself certain topics never quite clicked. For others, it’s the clock. You may know the material but still run out of time.
Here’s a simple way to find out. Take a full ACT Math section 60 minutes, no interruptions. If you don’t finish in time, keep going and mark which ones you did after the clock ran out.
Now, compare two scores:
- The first is your timed score (everything you finished in the 60 minutes).
- The second is your untimed score (including the ones you did after time was up).
What do you see?
- If your untimed score is under 32, it’s a content problem time to brush up on algebra, geometry, and trigonometry.
- If your untimed score is 32+ but your timed score drops a lot, pacing is the issue.
- If both are high, you’re in fine‑tuning mode focus on avoiding careless mistakes and shaving seconds where you can.
At The Princeton Review Singapore, we guide students through this exact process. Once you know what’s holding you back, your prep becomes sharper, faster, and more effective. That’s when a perfect 36 stops being a dream and starts being a plan.
Strategy 2 – Practice Smart, Not Just More
You can’t hit a 36 in ACT Math by just doing page after page of problems and calling it a day. The real trick is to practise with a plan and treat every mistake like a teacher. One question wrong can be the difference between a 35 and 36 so you have to make that one question matter.
First, keep your practice steady. Don’t cram one week and ignore it the next. Use a mix official ACT papers, a good prep book or two, and some timed drills online. And here’s the thing: speed matters, but not at the start. In the beginning, slow down enough to catch where you’re tripping up.
Second, go deep on your mistakes. Don’t just read the answer and move on. Ask yourself, “Why did I miss this?” Sometimes it’s a formula you didn’t recall quickly enough, sometimes you read the question too fast, sometimes it’s just a small slip. Write it down, along with the right method, in your own words. Over a few weeks, you’ll notice patterns maybe you keep losing marks on geometry, or you make small calculation errors when you rush. That’s where you focus next.
When you practice, don’t just look at the questions you got wrong also pay attention to the ones you weren’t completely sure about. Even if you answered them correctly, that uncertainty means the concept might not be solid yet.
Here’s how we suggest doing it:
- Mark uncertain questions as you go through your practice, whether you got them right or wrong.
- After checking your answers, review all your mistakes and every question you marked as uncertain.
- Include any where you made a lucky guess these are just as important to review as the wrong answers.
At The Princeton Review Singapore, we’ve seen that this habit not only strengthens your understanding but also reduces careless errors on test day.
Keep a Mistake Log
One of the most effective ways to improve is to keep track of your mistakes. Use a notebook or digital file dedicated just for this.
For every mistake you make, note down:
- A short summary of the question so you remember the context.
- Why you got it wrong did you misunderstand the question, use the wrong formula, or make a calculation slip?
- The correct solution and, if possible, another way to solve it.
- What you’ll do to avoid it next time this could be double-checking work, reviewing the concept, or slowing down at certain steps.
At The Princeton Review Singapore, we recommend organising these notes by topic algebra, geometry, trigonometry, and so on. This way, you’ll spot patterns in your errors and know exactly which areas to focus on during your practice.
The Importance of Reflection in Learning
Simply checking the right answer isn’t enough if you want to improve. Real progress comes from taking the time to reflect on your work:
- Why was my answer wrong? Pinpoint the exact error was it a calculation slip or a misunderstanding of the question?
- What did I miss? Identify if the mistake came from not knowing the concept or applying it incorrectly.
- How will I handle this next time? Create a clear plan whether it’s revisiting the topic, doing more practice, or adjusting your problem‑solving steps.
At The Princeton Review Singapore, we guide students to not just learn the right answers, but to understand why mistakes happen turning each one into a chance for long‑term improvement.
Transforming Weaknesses into Strengths
Each mistake serves as an opportunity for growth. By systematically addressing weaknesses, you will develop a more solid foundation in ACT Math. Over time, repeated error analysis will refine your approach, improve accuracy, and increase efficiency, ultimately leading to a higher score.
At The Princeton Review Singapore, we emphasize a structured and analytical approach to ACT preparation. By combining extensive practice with a rigorous review of mistakes, students develop the skills and confidence necessary for peak performance. Every error presents an opportunity to refine your understanding and approach. With consistent effort and a commitment to learning from mistakes, a perfect ACT Math score is within reach.
Strategy 3: Identify the Root Cause of Mistakes
Achieving a perfect 36 on the ACT Math section requires more than recognizing errors it demands a thorough understanding of why those errors occurred. Many students acknowledge mistakes but fail to analyze them in depth. A structured approach to reviewing errors ensures continuous improvement and prevents repeated mistakes.
Why Identifying the Cause Matters
A simple acknowledgment of an incorrect answer is not enough. Understanding the specific reason behind each mistake helps target weaknesses effectively. Common causes include:
1. Gaps in Content Knowledge
Issue: Lacking the necessary understanding of a concept or formula.
Solution:
- Identify the exact topic that caused confusion.
- Review explanations and examples in study materials.
- Practice similar problems to reinforce understanding.
2. Incorrect Problem-Solving Approach
Issue: Using an ineffective or incorrect method despite knowing the concept.
Solution:
- Compare your approach with the correct solution.
- Identify problem patterns that indicate which method to use.
- Practice applying the correct strategy to similar questions.
3. Careless Errors
Issue: Misreading questions, miscalculating, or solving for the wrong variable.
Solution:
- Read each question carefully and underline key details.
- Double-check calculations before selecting an answer.
- Develop a habit of verifying solutions when time permits.
4. Time Management Issues
Issue: Running out of time, leading to rushed answers or guessing.
Solution:
- Track time spent on each question during practice.
- Skip time-consuming problems and return later.
- Improve efficiency through timed drills.
5. Overcomplicating the Problem
Issue: Choosing a complex method instead of a straightforward approach.
Solution:
- Identify the simplest solution method before solving.
- Build confidence in fundamental techniques.
- Practice recognizing when to simplify calculations.
Implementing an Effective Review Process
- Maintain a Mistake Log
- Record each mistake, the reason behind it, and the correct approach.
- Organize mistakes by topic to identify recurring weaknesses.
- Review Mistakes Regularly
- Revisit the mistake log weekly to track progress.
- Focus additional practice on frequently missed concepts.
- Practice Under Test Conditions
- Take full-length timed practice tests to simulate exam pressure.
- Analyze errors after each test to refine strategies.
The Impact of Targeted Error Analysis
By consistently identifying and addressing the root cause of mistakes, students improve accuracy and efficiency. This method ensures a strategic approach to preparation, leading to better performance and a higher ACT Math score.
Strategy 4: Address Content Gaps with Precision
Achieving a perfect 36 on the ACT Math section requires a thorough understanding of all tested concepts. If you are not consistently scoring in the 34-36 range, you likely have content gaps that need attention. These gaps may include forgotten formulas, difficulty with certain problem types, or misunderstanding foundational concepts. Identifying and addressing these weaknesses is essential for improvement.
Identifying Content Gaps
Content gaps can be identified through mistake analysis and test performance. Common signs include:
- Unfamiliarity with key formulas or rules.
- Struggling with specific question types (e.g., word problems, trigonometry).
- Misapplying concepts in problem-solving.
Ignoring these gaps leads to repeated mistakes. A systematic approach is required to strengthen weak areas.
Steps to Address Content Gaps
- Pinpoint Specific Weaknesses
- Use a mistake journal to track missed questions and identify recurring topics.
- Categorize weaknesses by subject and subskill for targeted improvement.
- Review and Relearn Concepts
- Study the relevant material from reliable sources such as textbooks, ACT prep books, or online tutorials.
- Focus on understanding concepts, not just memorizing formulas.
- Practice Targeted Problems
- Work on problems that focus on identified weak areas.
- Use ACT practice tests and question banks to reinforce learning.
- Seek Additional Help if Needed
- If a topic remains unclear, consult a teacher, tutor, or online resource for a different explanation.
- Test Mastery
- Solve practice problems and quizzes to ensure a solid understanding before moving to new topics.
Why This Approach Works
Content gaps weaken overall performance. Addressing them builds a stronger foundation, improves accuracy, and enhances confidence. Consistently reviewing weak areas ensures steady progress.
Practical Strategies for Success
- Structured Study Plan: Dedicate time each week to specific weak areas.
- Multiple Learning Resources: Use books, videos, and interactive tools to reinforce concepts.
- Active Learning: Teach the concept to someone else to confirm understanding.
- Progress Tracking: Maintain a log of reviewed topics and improvements.
At The Princeton Review Singapore, we emphasize precision in identifying and closing content gaps. A strategic, focused approach ensures steady progress toward a perfect ACT Math score.
Strategy 5: Reattempt Questions Before Reviewing Explanations
To improve accuracy on the ACT Math section, it is essential to engage actively with missed questions. Simply reading explanations is a passive approach that does not reinforce learning. Reattempting questions before reviewing solutions helps strengthen understanding and prevents repeated mistakes.
Why Reattempting Questions is Effective
Reading an explanation immediately after missing a question does not ensure long-term retention. Actively solving the problem again forces critical thinking, improves problem-solving skills, and enhances conceptual understanding.
Steps to Implement This Strategy
- Identify the Correct Answer
- Mark the correct choice but avoid reading the explanation immediately.
- Reattempt the Question
- Solve the problem again without time pressure. Focus on identifying errors and applying alternative methods.
- Analyze Your Thought Process
- Reflect on mistakes and recognize gaps in understanding. Consider different strategies for approaching the problem.
- Compare Your Solution
- If your reattempt is correct, analyze what changed in your approach. If incorrect, assess where you went wrong again.
- Review the Explanation (If Necessary)
- Read the explanation only if the answer remains unclear. By this stage, understanding will be deeper, making the solution more meaningful.
Benefits of This Approach
- Active Learning: Engages critical thinking for better retention.
- Deeper Understanding: Reinforces concepts and problem-solving techniques.
- Long-Term Retention: Strengthens recall and prevents repeated mistakes.
Maximizing Effectiveness
- Set a Time Limit – Spend up to 10 minutes reattempting each problem.
- Document Insights – Record mistakes, correct strategies, and key takeaways.
- Identify Patterns – Group similar errors to address recurring weaknesses.
- Use consistently – Incorporate this method into regular practice for steady improvement.
Passively reading explanations does not lead to mastery. Reattempting questions encourages active learning, deepens understanding, and builds problem-solving skills. By integrating this strategy into study sessions, students can significantly improve their ACT Math performance.
Strategy 6: Improve Speed and Accuracy to Finish with Time to Spare
A perfect ACT Math score requires both accuracy and efficiency. With 60 questions in 60 minutes, you have about one minute per question. However, some problems take longer, making time management essential. Finishing early allows you to review answers and minimize mistakes.
Why Time Management Matters
The ACT tests your ability to solve problems under time pressure. Many students struggle to complete all questions, leading to rushed or unanswered problems. Developing speed and accuracy ensures you maximize your score.
Steps to Improve Speed and Accuracy
- Practice Under Timed Conditions
- Take full-length, timed practice tests to build endurance and familiarity with the test pace.
- Track your time per question and work on reducing it while maintaining accuracy.
- Master Common Question Types
- Recognize and quickly solve frequently tested problems.
- Develop strategies for handling geometry, algebra, and word problems efficiently.
- Skip and Return to Tough Questions
- If a question takes more than 30 seconds without progress, move on and return later.
- This prevents wasting time on a single problem while missing easier points elsewhere.
- Double-check your Work
- Use extra time to verify answers, especially those requiring detailed calculations.
- Solve using an alternative method to confirm accuracy.
Why This Strategy Works
- Efficiency: Timed practice builds the ability to work quickly without sacrificing accuracy.
- Confidence: Completing the section early allows time for review, reducing test-day stress.
- Error Reduction: Reviewing answers helps catch and correct careless mistakes.
Additional Tips
- Prioritize Easier Questions First
- Quickly answer familiar questions to secure points before tackling harder problems.
- Use Shortcuts and Strategies
- Apply techniques like plugging in answer choices, estimation, and elimination to save time.
- Stay Focused Under Pressure
- If time is running out, remain calm and answer as many questions as possible. Guessing is better than leaving blanks.
- Simulate Real Test Conditions
- Practice in a quiet environment with a timer to build focus and endurance.
Final Review for a Perfect Score
Even strong test-takers make mistakes under pressure. Completing the section early gives you time to check answers and catch errors, ensuring every point counts toward your goal.
Strategy 7: Minimize Careless Mistakes Through Focus and Precision
Careless mistakes can cost valuable points on the ACT Math section, even when you understand the material. Errors often result from misreading questions, rushing through calculations, or incorrectly entering values into a calculator. These small oversights can significantly impact your score, especially when aiming for a 36.
Strategies to Avoid Careless Mistakes
- Read the Questions Carefully
- Pay attention to key details such as units, variables, and what is being asked.
- Underline or note specific instructions to avoid solving for the wrong value.
- Write Down Key Information
- Keep track of units, formulas, and conversions in your scratch work.
- Clearly label each step to ensure accuracy.
- Check Calculator Entries
- Double-check numbers, parentheses, and operations before confirming results.
- A small input error can lead to incorrect answers.
- Use Extra Time to Review
- If time allows, revisit difficult questions and rework them using a different method.
- Focus on complex calculations or questions you were unsure about.
Why This Strategy Works
- Prevents Misreading: Careful reading and underlining key details help clarify what is being asked.
- Reduces Errors: Writing out steps and verifying calculations minimizes mistakes.
- Boosts Confidence: Reviewing answers ensures accuracy and strengthens test performance.
Additional Tips
- Practice Active Reading
- Train yourself to slow down and fully process each question.
- Follow a Consistent Problem-Solving Process
- Read → Identify key information → Solve → Verify.
- Stay Calm Under Pressure
- Rushing increases mistakes. Practice time management to maintain focus.
- Analyze Past Mistakes
- Review errors in practice tests to identify recurring patterns.
By implementing these strategies, you can improve accuracy, reduce unnecessary errors, and maximize your ACT Math score.
Strategy 8: Master Key Formulas and Math Facts for Quick Recall
Success in the ACT Math section requires a strong grasp of fundamental mathematical concepts and formulas. While understanding the principles behind these formulas is important, committing them to memory can significantly improve efficiency and accuracy during the test. If recalling formulas or deriving them during practice takes considerable time, targeted memorization and practice will be beneficial.
Importance of Memorizing Formulas
The ACT Math section includes a broad range of topics, such as algebra, geometry, trigonometry, and probability. Many problems rely on specific formulas, and knowing them in advance allows for quicker problem-solving. For instance, calculating the area of a circle, determining the slope of a line, or finding the volume of a rectangular prism all require memorized formulas. Deriving these formulas during the test can consume valuable time and increase the likelihood of mistakes.
Essential Formulas and Math Facts to Memorize
Algebra
- Slope of a line: m = y2−y1x2−x1y2−y1x2−x1
- Quadratic formula: x =(−b ± b2− 4ac−−−−−−−√)2ax =−b ± b2− 4ac2a
- Distance formula: d = (x2– x1)2+ (y2– y1)2−−−−−−−−−−−−−−−−−−√d = x2– x12+ y2– y12
Geometry
- Area of a circle: A = πr2A = 𝜋r2
- Circumference of a circle: C = 2πrC = 2𝜋r
- Pythagorean theorem: a2+ b2= c2a2+ b2= c2
- Special right triangles:
- 45°−45°−90°: 1:1:2–√45°−45°−90°: 1:1:2
- 30°−60°−90°: 1:3–√:230°−60°−90°: 1:3:2
- Common Pythagorean triples: 3−4−5, 5−12−13, 7−24−253−4−5, 5−12−13, 7−24−25
Trigonometry
- Trigonometric ratios:
- sin(θ)= oppositehypotenusesin𝜃= oppositehypotenuse
- cos(θ)= adjacenthypotenusecos𝜃= adjacenthypotenuse
- tan(θ)= oppositeadjacenttan𝜃= oppositeadjacent
Coordinate Geometry
- Midpoint formula:
( x₁ + x₂2x₁ + x₂2 + y₁ + y₂2y₁ + y₂2)
- Equation of a circle: (x − h)2+ (y – k)2= r2x − h2+ y – k2= r2
Probability and Statistics
- Probability of an event: P(E) = Number of favorable outcomesTotal number of outcomesNumber of favorable outcomesTotal number of outcomes
- Mean (average): Mean =Sum of valuesNumber of valuesSum of valuesNumber of values
Effective Strategies for Memorization
1. Use Flashcards
Writing each formula on a flashcard with a brief explanation or example can reinforce memory through repetition. Reviewing flashcards regularly is an efficient way to retain key concepts.
2. Apply Formulas in Practice Problems
Consistently using formulas in various problems strengthens understanding and recall. Solving diverse problems ensures familiarity with different applications.
3. Organize Formulas by Topic
Grouping formulas based on subject areas, such as algebra or geometry, makes it easier to retrieve them when needed. Recognizing patterns within formulas can aid retention.
4. Utilize Mnemonics
Creating mnemonic devices or memory aids can make recalling formulas more manageable. For example, the quadratic formula can be remembered using rhythmic phrases or patterns.
5. Conduct Regular Self-Testing
Periodically writing formulas from memory or attempting practice problems without reference materials helps assess retention and identify areas needing improvement.
Advantages of Memorizing Key Formulas
- Time Efficiency: Immediate recall of formulas allows for quicker problem-solving, providing additional time to focus on more challenging questions.
- Error Reduction: Memorization minimizes the chances of miscalculating or incorrectly deriving formulas.
- Increased Confidence: Knowing formulas thoroughly enhances confidence and reduces test anxiety, allowing for a more focused and efficient test-taking experience.
Additional Techniques for Mastering Formulas
1. Understand the Principles Behind Formulas
Rather than relying solely on memorization, understanding the reasoning behind formulas aids in their application. Recognizing the derivation of formulas fosters deeper comprehension.
2. Relate Formulas to Real-World Applications
Applying mathematical formulas to everyday situations reinforces their practical significance. For instance, calculating the slope of a road or the area of a circular object strengthens familiarity.
3. Schedule Routine Review Sessions
Regularly revisiting formulas ensures long-term retention. Allocating dedicated study sessions for formula review prevents forgetting crucial mathematical concepts.
Example: Applying the Pythagorean Theorem
Problem
A right triangle has legs measuring 6 inches and 8 inches. Determine the length of the hypotenuse.
Solution
Using the Pythagorean theorem:
a2+ b2= c2a2+ b2= c2
62+ 82= c262+ 82= c2
36 + 64 = c236 + 64 = c2
100 = c2100 = c2
c = 10𝒄 = 𝟏𝟎
Thus, the hypotenuse measures 10 inches.
By memorizing and understanding the Pythagorean theorem, this problem can be solved quickly and accurately without needing to derive the formula.
Mastering key formulas and mathematical facts is a crucial step in achieving a strong performance on the ACT Math section. A combination of memorization, practice, and conceptual
Strategy 9: Stay Calm and Confident During the Test
Try to stay calm while giving the test. If you feel nervous, pause and take a deep breath. Focus on each question one by one. Do not waste time on any question. If a question looks hard, skip it and return later. Keep your mind clear and manage time well. Confidence and calmness help improve test performance.
Strategy 10: Stay Consistent and Believe in Yourself
Improving in ACT Math is not about doing everything at once it’s about doing a little every day. Regular practice builds long-term understanding and better problem-solving speed.
For example, one student we worked with practiced just 30 minutes a day using official questions. Over four weeks, her accuracy increased by 20%. What worked? Not a shortcut just staying consistent, even on busy days.
Also, confidence plays a key role. Students who believe in their preparation are less likely to panic or second-guess during the test. If a question feels tough, remind yourself: you’ve prepared for this. Move ahead with focus.
At The Princeton Review, we’ve seen that consistent effort and self-belief often matter just as much as formulas and tricks. Stick to your plan. Trust your progress. Results will follow.
How to Stay Consistent and Confident
At Princeton Review Singapore, we often see students start out with study plans that are too strict. They aim for long hours sometimes even 8 or more in a day thinking that’s what success takes. But in most cases, those plans don’t last long. The truth is, it’s not about how long you study. It’s about how well you use your time.
It’s important to ask yourself honestly: how many hours can I focus without getting distracted? Let’s say it’s five hours. That’s more than enough if you use them right. You don’t need to sit for all five hours at once. You can split it up: maybe 1.5 hours in the morning, then take a break. Later, do another 1.5, and wrap up with two shorter sessions. That way, you stay fresh and focused.
A study plan shouldn’t be something that wears you out. It should match your energy, your routine, and your goals. In the end, the best schedule is the one you can follow not the one that just looks good on paper.
It Might Not Seem Like a Big Deal, But It Is
A student once told me, “I only got one more question right this week so what?” But to me, that’s not just one. That means something’s working. Maybe you’re getting a bit faster. Maybe a topic makes more sense than before. That’s real progress.
We don’t always notice growth when we’re in the middle of it. But if you stop and think, “Hey, last time I couldn’t even attempt this question,” then yeah you’re moving forward. Don’t wait for some huge change. The small wins? They build up. They count more than you think.
Honestly, there are times when you just get stuck. It doesn’t mean you don’t know anything, it just happens. Sometimes I look at a math problem and my brain kind of freezes. I skip it and move on. And later, when I come back, it feels a bit easier. Not always, but enough times to know it helps.
What I’ve learned is… forcing yourself to solve something when your mind’s already tired? That usually backfires. You start thinking you’re not good at it, when the truth is you probably just need a break.
You’re not failing. You’re just human.
Maintain a Positive Mindset
We’ve seen this happen a lot at Princeton Review Singapore. A student prepares well, practices regularly but still ends up thinking, “Maybe I’m just not good at this.” It usually comes after a tough question or a small mistake. And honestly, it’s more common than people think.
What helps most is when they stop for a second and shift the way they’re talking to themselves. Not with overconfidence but just a quiet reminder, like, “I’ve worked on this. Let me give it another shot.” That’s usually enough to keep going without getting discouraged.
It’s not about ignoring the hard parts. It’s about not letting one rough moment decide the rest of the day.
Mistakes Aren’t the End — They’re Part of the Process
At Princeton Review Singapore, we’ve seen students get upset when they make mistakes during practice. Some even lose confidence over a single wrong answer. But what we’ve learned over the years is this: the students who improve the most area usually the ones who take the time to look at what went wrong.
It doesn’t need to be complicated. Just ask, “Why did I miss this?” Maybe it was a small calculation error, or maybe the concept needs more revision. Whatever the reason, once it’s clear, it becomes easier to adjust your strategy.
Mistakes are not setbacks they’re clues. The more you learn from them, the fewer you’ll make next time.
Final Thoughts
At The Princeton Review Singapore, we focus on being consistent, believing in yourself, and really knowing the material to succeed. Having a clear plan, a positive attitude, and being flexible are important when you face problems during the test. Know your study methods, trust your hard work, and tackle the ACT Math section with determination. Your effort will lead to success.