Numerical Reasoning

Question 1

Calculate earlier amount for percentage change

Answer 1

later amount / 1.percentage change

Question 2

Calculate relationship (in %)

Answer 2

(X / Y ) - 100

Question 3

Exchange rates increases on items

Answer 3

item price/exchange rate

Question 4

Calculate percental increase (percentage increase)

Answer 4

Large number / smaller number - 100

Question 5

X accounts for Y

Answer 5

Y / X x 100% =

Question 6

Multiply by factor over 100

Answer 6

ex. 125

Whatever Number x 1.25

Question 7

calculate minutes from normal number (ex. 2.98 –> minutes)

Answer 7

83 into minutes → 0.83 x 60 (ex. 2.98 → 2 hours, 0.98 x 60 = 2 hours and ….)

Question 8

percentage decrease (not percentage change)

Answer 8

(the decrease / original number) x 100

Question 9

Triple ratio

Answer 9

1) Put three numbers together (2:4:5). 2) Multiply them by 10 or another number. 3) make the smallest possible number for all (by dividing all by divisible number).

Question 10

Using the data in the table, how many more fixed telephone lines would Andorra have needed in 2007 to have had 5% of the total across these countries?

Answer 10

1. Add up total of countries OTHER than Andorra. = 799.4
2. 1-0.05 = .95
3. Find fraction that = .95, which is 19/20 in this case.
4. total of countries / 19 = 42.1 K (5% of the total)
5. Subtract the answer from the # of andorra, in this case 42.1 K - 37.2 K = 4.9 K

Question 11

Proportion of total revenue: ex. 11%

Answer 11

Total revenue x 0.11

Question 12

trick to remember > < greater than lesser than

Answer 12

Croc eats the larger number, so big mouth towards larger number (e.g. <3 –> lesser than 3 because 3 is greater / >3 –> greater than 3 because the other number is greater)

Question 13

Speed, Distance, Time –> which on top of pyramid

Answer 13

D, Distance

Question 14

Population, # per capita, or total amount –> which on top of pyramid

Answer 14

total amount

Question 15

Percentage change (REMINDER)

Answer 15

BE CAREFUL: Do NOT divide right away…. Remember to SUBSTRACT (-), first! Then divide. :) (later number - earlier number) / earlier number x 100

Question 16

Find Number of people from Employment rate of population in specific age group

Answer 16

FIRST, find the number of people in that PORTION of the population (population x portion of the population %), and then find number of people in that age group

Question 17

1 tonne = how many kg?

Answer 17

1000 kg

Question 18

per capita…if pop is in thousands, and so is total amount, do we multiply per capita by 1000 or not?

Answer 18

NO, we do NOT multiply the per capita per 1000! It stays as is.