SAT Prep Math Survival Guide Part 4

A

How to Stop Getting Those Last Few Hard SAT Math Questions Wrong

If you’re currently scoring between a 650 and 750 in SAT math and aiming for the top scores, you might find the hardest questions at the end of each section to be a recurring hurdle. Let’s break down why these questions can be challenging and explore how you can tackle them effectively.

Understanding Hard Questions

The College Board classifies questions based on how many students answered them incorrectly on previous tests. This means questions at the end of a math section are often:

  1. Actually difficult
  2. Hard to understand
  3. Tricky by design

To improve your accuracy with hard questions, it’s essential to focus on each of these aspects.

Handling Truly Difficult or Hard-to-Understand Questions

  • Practice Level 4 and 5 Problems Regularly: Dedicate some time each day to practice challenging problems. Focus on reattempting problems you initially got wrong until you can solve them confidently.
  • Revisit Preparation Strategies: Consider reviewing the chapter on proper SAT math preparation to ensure you’re using your study time effectively.

Avoiding Tricky Questions and Common Traps

  • Don’t Go with Your First Instinct: On difficult questions, your gut reaction might lead you to a common trap set by the test makers. Review strategies from chapters on instincts and eliminating careless errors to stay alert.
  • Think Outside the “School Method”: Hard SAT problems are often designed to mislead strong students into solving them using familiar school methods, leading to mistakes. Consider alternative approaches that are tailored for standardized tests.

Using SAT-Specific Math Strategies

Knowing strategies isn’t enough; you need to practice using them effectively and at the right times. Here are some essential approaches:

  1. Pick Numbers When Variables Are Present
    For example, if question #20 involves variables, resist the temptation to solve it algebraically. Instead, substitute numbers into the variables and work through the problem from there. This approach simplifies complex problems and minimizes error potential.

Example Problem Using Strategy

Problem: There are bb bricks that need to be stacked. After kk of them have been stacked, what percent of the bricks have not yet been stacked in terms of bb and kk?

Solution:

  1. Choose a Value for bb : Set b=100b = 100 .
  2. Choose a Value for kk : Let k=25k = 25 .
  3. Calculate: The number of bricks not stacked is 10025=75100 – 25 = 75. Therefore, 75% of the bricks have not been stacked.

Next, substitute b=100b = 100  and k=25k = 25  into each answer choice:

  • (A) 10075000.0133%\frac{100}{7500} \approx 0.0133\% 
  • (B) 7500100=75%\frac{7500}{100} = 75\% 
  • (C) 10,00025=400%\frac{10,000}{25} = 400\% 
  • (D) 2500100=25%\frac{2500}{100} = 25\% 

Compare each option to 75%:

  • (A), (C), and (D) are incorrect.
  • (B) is the only answer that matches.

Important Note: It’s crucial to check all answer choices. (B)(B)  isn’t correct solely because it equals 75%; it’s correct because the others do not.


Tips for Tackling Hard SAT Math Problems

  1. Use Basic Strategies: Simple approaches like picking numbers, plugging in answer choices, drawing diagrams, or taking educated guesses can make difficult problems manageable.
  2. Practice Until It Becomes Second Nature: Familiarize yourself with when and how to apply each strategy.
  3. Stay Calm and Focused: Remain confident and systematic, even when faced with tough problems. Effective practice will make you less likely to be tricked or overwhelmed by difficult questions.

By understanding and applying these strategies, you can gain an edge over the hardest SAT math questions and maximize your score potential.

Should You Take a Prep Course for the SAT?

Deciding whether to take an SAT math prep course or to continue preparing independently is a crucial decision that can significantly impact your performance and wallet. Here’s a breakdown to help you make an informed choice.

The Role of Motivation

The primary reason to sign up for a course is for motivation. A prep course can help you stay focused, committed, and consistent in your preparation. However, if you have strong self-discipline and can keep yourself on track, you may not need a structured course and can save the cost.

Evaluating Prep Courses

If you decide to take a course, consider the following factors:

  1. Results: Inquire about the average score increase of students who have taken the course. Results matter. Don’t pay for a service unless it demonstrates tangible success.
  2. Group Size: Smaller groups (3 to 5 students) tend to be more effective. Small classes provide a balance of personalized attention and collaborative learning.
  3. Grouping by Scores: Ensure students are grouped based on their PSAT scores. A student scoring 650 should not be in the same group as one scoring 400, as the pace and focus of the sessions may not align with your needs.
  4. Instructor Quality: Check the company’s hiring standards. Are instructors selected based solely on their SAT scores, or do they also have strong teaching credentials? Look for companies with specialized Verbal and Math tutors and experienced teachers.
  5. Instructor Compensation: Well-compensated instructors are generally more qualified and dedicated. You usually get what you pay for.
  6. Reputation and Feedback: Seek recommendations from friends or classmates who have taken the course and achieved positive results. If you can’t get personal recommendations, check reviews and verify instructor credentials.

Local vs. Big-Name Companies

Local tutors and smaller companies can often provide high-quality instruction at lower costs because of fewer overhead expenses. Do your homework by asking other students about their experiences and results.

Conclusion

Ultimately, the decision depends on your motivation level. If you can stay on track independently, create a structured study plan using the strategies outlined in this chapter. If you prefer external guidance and accountability, carefully vet any course you consider.


Efficient SAT Math Preparation Tips

1. Familiarize Yourself with the Test

Know the directions and layout of the SAT math sections, including question types (multiple choice and grid-ins) and major topics covered: Heart of Algebra, Geometry and Trigonometry, Passport to Advanced Math, and Problem Solving and Data Analysis. Remember, there is no penalty for incorrect answers, so don’t leave any question blank.

2. Memorize Relevant Formulas

Commit key formulas to memory early in your preparation, especially those provided in the test. This will save you valuable time.

3. Learn SAT-Specific Strategies

Spend three to four months learning two to three strategies per week. Familiarize yourself with approaches that differ from traditional school methods, such as picking numbers, plugging in answer choices, and estimating.

4. Daily Practice

Dedicate 10 to 20 minutes a day to SAT math. Spend half of each session learning or reviewing a strategy and tackling new questions, and the other half redoing questions you previously got wrong.

5. Moderation with Practice Tests

While practice tests are important, don’t over-rely on them. Focus on mastering strategies and minimizing errors during study sessions. Take at least four practice tests leading up to your exam date to ensure you’re using strategies effectively under timed conditions.

6. Break Bad Patterns

If your score stagnates, identify the issue:

  • Careless Errors: Be sure you aren’t dismissing questions too quickly.
  • Difficulty with Last Few Questions: Review strategies for tackling hard questions.
  • Redo Mistakes: Continuously redo questions you got wrong until you consistently solve them correctly without mistakes.

Leave a comment
Your email address will not be published. Required fields are marked *