General Math Strategies Flashcards
How to square a number ending in 5
- Remove 5 from digits
- Add 1 to the remaining digit/s
- N • (N+1) = ?
- Add 25 after finding product above
Why not use calculator
- Slow
2. Simplify through logic by estimation needed more than precise calculation
Estimate: “What is 26.3% of $7,935?
- Round 26.3% to 25%, which is also ¼
- Round 7935 to 8000
- A fourth of 8000 is 2000
- So pick an answer closest to 2000
When dividing large number by 5…
Double N, then divide by 10, or vise-versa, whichever is easier
What logic of dividing-by-five suggest
The related logic of doubling and halving
Apply doubling-and-halving trick to: 16 * 35 = N
- Half 16 so that it is reduced to 8
- Double 35 so that it becomes 70
- 8 * 7 = 56
- Add 0 after 56
- 560
When to use doubling-and-halving
When multiplying two large numbers
Essence of QC questions
Comparing two quantities to see which is bigger
What are the four standard choices for every Quantitative Comparison GRE math questions?
- Quantity A is greater
- Quantity B is greater
- The two quantities are equal
- The relationship cannot be determined from the information given
What fourth standard QC answer choice mean
That variables within specified ranges allow for different results
3 essential QC facts
- Answers evenly distributed between four standard choices
- 7-9 QC questions
- Easy ones take than 45 sec to answer; harder ones less than 2 min
Best QC trick
Calculate only to APPROXIMATE answer
2 QC tricks to remember
- Part-wise
2. Rounding
QC matching operations trick to simplify problem
- same # to both quantities
- same # from both quantities
- or / both quantities by same positive #