04 FDP Flashcards
Convert to decimal: 2/8
0.25
Convert to decimal: 6/8
Convert to decimal:
Convert to decimal: 5/4
1.25
Convert to decimal: 7/4
1.75
Convert to decimal: 1/8
0.125
Convert to decimal: 3/8
0.375
Convert to decimal: 5/8
0.625
Convert to decimal: 7/8
0.875
Convert to decimal: 2/5
0.4
Convert to decimal: 3/5
0.6
Convert to decimal: 4/5
0.8
Convert to decimal: 2/6
0.333333
Convert to decimal: 4/6
0.66666
Convert to decimal: 4/3
1.333
Convert to decimal: 1/6
0.166666
Convert to decimal: 5/6
0.833333
Convert to decimal: 1/9
0.111111
Convert to decimal: 1/50
0.02
Convert to decimal: 1/25
0.04
Convert to decimal: 1/20
0.05
Convert to fraction: 1.5
3/2
Convert to fraction: 1.25
5/4
Convert to fraction: 1.75
7/4
Convert to fraction: 12.5%
1/8
Convert to fraction: 37.5%
3/8
Convert to fraction: 62.5%
5/8
Convert to fraction: 87.5%
7/8
Convert to fraction: 20%
1/5
Convert to fraction: 2/5
40%
Convert to fraction: 60%
3/5
Convert to fraction: 80%
4/5
Convert to fraction: 33.3%
1/3
Convert to fraction: 66.67%
2/3
Convert to fraction: 133%
4/3
Convert to fraction: 16.7%
1/6
Convert to fraction: 5/6
83.3%
Convert to fraction: 11.1%
1/9
Convert to fraction: 1%
1/100
Convert to fraction: 4%
1/25
Convert to fraction: 2%
1/50
What types of problems are more easily solved with fractions vs. decimals/percentages?
Fractions - Multiply/divide
Decimals/%- Add/subtract
How can you simplify 0.0003 * 40,000?
Move the decimal of each four places in the opposite direction.
= 3 *4 = 12
What are the steps for testing cases?
1) What cases are allowed? (even/odd, positive/negative, integers, number size, etc.)
2) Choose numbers to make the statement true (discard any test numbers).
3) Try to prove the statement INSUFFICIENT using numbers from step 2.
What are examples of test numbers with different properties?
Positive/negative, even/odd, integer/fraction.
Show two ways to simplify:
1/2) / (3/4
a. = (1/2)*(4/3) = 4/6 = 2/3
OR
b/ =(1/2)(4/1) / (3/4)(4/1) = 2/3
***4 is a common denominator of both, faster!
What is a fast way to calculate 70% of 120?
50% of 120 = 60
plus 10% of 120 = 12
plus 10% of 120 = 12
= 84
What is the formula for compound interest?
Total amount = P [1 + (r/n)]^nt
P = principal r = interest rate (decimal) n = number of times per year t = number of years
Convert to decimal: 3/2
1.5
What are the steps for using smart numbers to solve a quant problem?
1) Choose smart numbers to replace unknowns in the equation.
2) Solve using the smart numbers to find target answer.
3) Plug smart number into answer choices to find target answer. Stop solving once you know the answer cannot be your target.
What types of answer choices can lend themselves to using smart numbers for FDP problems?
Percents, fractions, or ratios (or variables!)
What is the best policy when choosing smart numbers on fractions problems?
Choose a common denominator of all fractions given.
Special considerations for choosing smart numbers in problems involving variables?
The smart numbers chosen may work for multiple answer choices. To reduce the chance of this:
1) Don’t pick 0 or 1.
2) Choose numbers that have different properties (odd/even, etc) or that are far apart, relatively speaking.
3) Do not choose numbers that appear elsewhere in the problem.
4) Follow any constraints given in the problem (positive numbers, integers, etc.)
Double the ratio 8:10
16:10
