04 FDP

Question 1

Convert to decimal: 2/8

Answer 1

0.25

Question 2

Convert to decimal: 6/8

Answer 2

Convert to decimal:

Question 3

Convert to decimal: 5/4

Answer 3

1.25

Question 4

Convert to decimal: 7/4

Answer 4

1.75

Question 5

Convert to decimal: 1/8

Answer 5

0.125

Question 6

Convert to decimal: 3/8

Answer 6

0.375

Question 7

Convert to decimal: 5/8

Answer 7

0.625

Question 8

Convert to decimal: 7/8

Answer 8

0.875

Question 9

Convert to decimal: 2/5

Answer 9

0.4

Question 10

Convert to decimal: 3/5

Answer 10

0.6

Question 11

Convert to decimal: 4/5

Answer 11

0.8

Question 12

Convert to decimal: 2/6

Answer 12

0.333333

Question 13

Convert to decimal: 4/6

Answer 13

0.66666

Question 14

Convert to decimal: 4/3

Answer 14

1.333

Question 15

Convert to decimal: 1/6

Answer 15

0.166666

Question 16

Convert to decimal: 5/6

Answer 16

0.833333

Question 17

Convert to decimal: 1/9

Answer 17

0.111111

Question 18

Convert to decimal: 1/50

Answer 18

0.02

Question 19

Convert to decimal: 1/25

Answer 19

0.04

Question 20

Convert to decimal: 1/20

Answer 20

0.05

Question 21

Convert to fraction: 1.5

Answer 21

3/2

Question 22

Convert to fraction: 1.25

Answer 22

5/4

Question 23

Convert to fraction: 1.75

Answer 23

7/4

Question 24

Convert to fraction: 12.5%

Answer 24

1/8

Question 25

Convert to fraction: 37.5%

Answer 25

3/8

Question 26

Convert to fraction: 62.5%

Answer 26

5/8

Question 27

Convert to fraction: 87.5%

Answer 27

7/8

Question 28

Convert to fraction: 20%

Answer 28

1/5

Question 29

Convert to fraction: 2/5

Answer 29

40%

Question 30

Convert to fraction: 60%

Answer 30

3/5

Question 31

Convert to fraction: 80%

Answer 31

4/5

Question 32

Convert to fraction: 33.3%

Answer 32

1/3

Question 33

Convert to fraction: 66.67%

Answer 33

2/3

Question 34

Convert to fraction: 133%

Answer 34

4/3

Question 35

Convert to fraction: 16.7%

Answer 35

1/6

Question 36

Convert to fraction: 5/6

Answer 36

83.3%

Question 37

Convert to fraction: 11.1%

Answer 37

1/9

Question 38

Convert to fraction: 1%

Answer 38

1/100

Question 39

Convert to fraction: 4%

Answer 39

1/25

Question 40

Convert to fraction: 2%

Answer 40

1/50

Question 41

What types of problems are more easily solved with fractions vs. decimals/percentages?

Answer 41

Fractions - Multiply/divide

Decimals/%- Add/subtract

Question 42

How can you simplify 0.0003 * 40,000?

Answer 42

Move the decimal of each four places in the opposite direction.

= 3 *4 = 12

Question 43

What are the steps for testing cases?

Answer 43

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.

Question 44

What are examples of test numbers with different properties?

Answer 44

Positive/negative, even/odd, integer/fraction.

Question 45

Show two ways to simplify:

1/2) / (3/4

Answer 45

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!

Question 46

What is a fast way to calculate 70% of 120?

Answer 46

50% of 120 = 60
plus 10% of 120 = 12
plus 10% of 120 = 12

= 84

Question 47

What is the formula for compound interest?

Answer 47

Total amount = P [1 + (r/n)]^nt

P = principal
r = interest rate (decimal)
n = number of times per year
t = number of years

Question 48

Convert to decimal: 3/2

Answer 48

1.5

Question 49

What are the steps for using smart numbers to solve a quant problem?

Answer 49

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.

Question 50

What types of answer choices can lend themselves to using smart numbers for FDP problems?

Answer 50

Percents, fractions, or ratios (or variables!)

Question 51

What is the best policy when choosing smart numbers on fractions problems?

Answer 51

Choose a common denominator of all fractions given.

Question 52

Special considerations for choosing smart numbers in problems involving variables?

Answer 52

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.)

Question 53

Double the ratio 8:10

Answer 53

16:10