Quantitative Reasoning
"NMAT Quantitative Reasoning? It's not just math - it's about problem-solving! As a future doctor, you need to calculate dosages, interpret stats, and analyze data accurately. Let's master the numbers, Doc!"
1. Fundamental Operations โโ
Basic math skills are the foundation. You need to be fast and accurate without a calculator!
Arithmetic Basics:
- PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
- Fractions: Add/Subtract (find LCD), Multiply (straight across), Divide (flip & multiply)
- Decimals: Moving points for mult/div
- Percentages: % = part/whole ร 100
Algebra Essentials:
- Linear Eq: y = mx + b
- Exponents: xแต ยท xแต = xแตโบแต, (xแต)แต = xแตแต
- Factoring: Difference of squares, quadratic trinomials
- Inequalities: Flip sign when multiplying by negative
2. Word Problems ๐
Translating English to Math. Key skill for clinical scenarios!
Translation Guide:
| English | Math Symbol |
|---|---|
| is, was, will be, equals | = |
| of, product, times | ร |
| per, out of, ratio, quotient | รท |
| sum, total, increased by | + |
| difference, less than, decreased | - |
| what number, a number | x |
Common Problem Types:
- Age Problems: "In 5 years..." (x+5), "5 years ago..." (x-5)
- Work Problems: 1/T = 1/A + 1/B (Combined rate)
- Mixture Problems: (Vol1)(Conc1) + (Vol2)(Conc2) = (Total Vol)(Final Conc)
- Distance/Rate: D = R ร T
3. Data Interpretation ๐
Reading charts, graphs, and tables. Crucial for research and patient data!
Strategy:
- Read the Title & Labels: What is being measured? What are the units?
- Identify the Trend: Is it increasing? Decreasing? Fluctuating?
- Read the Question First: Don't analyze the whole chart; look for specific data requested.
- Estimate: Exact calculation is often unnecessary; look at the scale.
- Watch for "NOT": "Which is NOT supported by the graph?"
4. Probability & Statistics ๐ฒ
Understanding risk factors and research outcomes.
Probability
P(Event) = Favorable Outcomes / Total Outcomes
AND rule (multiply): P(A and B) = P(A) ร P(B)
OR rule (add): P(A or B) = P(A) + P(B) - P(both)
Statistics
Mean: Average (Sum / Count)
Median: Middle value (sort first!)
Mode: Most frequent value
Range: Max - Min
5. NMAT Quantitative Tips & Practice ๐
๐ฏ Exam Day Strategies:
- Use scratch paper: Don't calculate in your head if complex.
- Estimate answers: If choices are far apart (10, 50, 100, 500), rough math is enough.
- Back-solving: Plug the answer choices into the problem to see which works.
- Skip hard items: All questions have equal points. Don't get stuck on one hard algebra problem.
- Formulas: Memorize basic geometry (Area/Perimeter) and algebra formulas.
Practice Questions with Answers
Q1: If 20% of a number is 15, what is 50% of that number?
Answer: 37.5. Logic: 20% = 1/5. So 1/5 x = 15 โ x = 75. 50% of 75 is 37.5.
Q2: Pipe A fills a tank in 3 hrs, Pipe B in 6 hrs. How long together?
Answer: 2 hours. Formula: 1/T = 1/3 + 1/6. 1/T = 2/6 + 1/6 = 3/6 = 1/2. So T = 2.
Q3: A solution is 20% alcohol. How much pure alcohol must be added to 100ml to make it 50% alcohol?
Answer: 60ml. Current: 20ml alc + 80ml water. Add x alcohol. (20+x)/(100+x) = 0.50. 20+x = 50 + 0.5x. 0.5x = 30. x = 60.
Test Your Knowledge! ๐ง
Ready ka na ba? Take the practice quiz for Quantitative Reasoning to reinforce what you just learned.
Start Practice Quiz ๐