Quantitative Reasoning
Distance and weight conversions
Most conversions are given however some are “common knowledge” so these are
good to be comfortable with. When in doubt, kilo means 1000!
1kg = 1000g
1g = 1000mg
1kg = 1,000,000mg
1km = 1000m
1m = 100cm and 1m = 1000mm
1cm = 10mm
1 litre = 1000ml
1ml = 1cm
3
for water and most liquids so 1 litre = 1000cm
3
1dm
3
is in the middle of m
3
and cm3
you don’t need to know that 1 mile = 1.6km but it can be helpful to remember
(they will always tell you if you need to use it)
Time
Questions relating to time are very common, so quickly being able to convert units
is essential to high scores. These numbers are good to be comfortable with:
Quantitative Reasoning 1
, 1 hour = 60 minutes = 3600 seconds
15 min = 0.25 hours
20 min = 0.333 hours (a third)
30 min = 0.5 hours
40 min = 0.6667 hours (two thirds)
45 min = 0.75 hours
so for instance, 3hrs 20 min can be quickly converted to 3.333 hours
for use in speed or rate calculations
1 day = 24 hours
so 1 hour is one twenty-fourth of a day (1/24)
if someone spent 5.5 hours at work they spent 5.5/24 = 0.2292 = 22.92%
of their day at work
The conversions when going from the smaller quantity (e.g. minute) to the larger
quantity (e.g. hour) it will be a divide
x minutes = x/60 hours (e.g. 13 minutes = 13/60 = 0.21667 hours)
z seconds = z/60 minutes (e.g. 41 seconds = 41/60 = 0.6833 minutes)
When going from seconds to hours, divide by 60 twice!
25 seconds = 2/60 (press enter) / 60 = 0.006944 hours
The conversions when going from the larger quantity (e.g. hour) to the smaller
quantity (e.g. minute) will be a multiply
y hours = y*60 minutes (e.g. 4 hours = 4*60 = 240 minutes)
g minutes = g*60 seconds (e.g. 3 minutes = 3*60 = 180 seconds)
When going from hours to seconds, multiply by 60 twice!
2.5 hours = 2.5*60*60 = 9000 seconds
Quantitative Reasoning 2
Distance and weight conversions
Most conversions are given however some are “common knowledge” so these are
good to be comfortable with. When in doubt, kilo means 1000!
1kg = 1000g
1g = 1000mg
1kg = 1,000,000mg
1km = 1000m
1m = 100cm and 1m = 1000mm
1cm = 10mm
1 litre = 1000ml
1ml = 1cm
3
for water and most liquids so 1 litre = 1000cm
3
1dm
3
is in the middle of m
3
and cm3
you don’t need to know that 1 mile = 1.6km but it can be helpful to remember
(they will always tell you if you need to use it)
Time
Questions relating to time are very common, so quickly being able to convert units
is essential to high scores. These numbers are good to be comfortable with:
Quantitative Reasoning 1
, 1 hour = 60 minutes = 3600 seconds
15 min = 0.25 hours
20 min = 0.333 hours (a third)
30 min = 0.5 hours
40 min = 0.6667 hours (two thirds)
45 min = 0.75 hours
so for instance, 3hrs 20 min can be quickly converted to 3.333 hours
for use in speed or rate calculations
1 day = 24 hours
so 1 hour is one twenty-fourth of a day (1/24)
if someone spent 5.5 hours at work they spent 5.5/24 = 0.2292 = 22.92%
of their day at work
The conversions when going from the smaller quantity (e.g. minute) to the larger
quantity (e.g. hour) it will be a divide
x minutes = x/60 hours (e.g. 13 minutes = 13/60 = 0.21667 hours)
z seconds = z/60 minutes (e.g. 41 seconds = 41/60 = 0.6833 minutes)
When going from seconds to hours, divide by 60 twice!
25 seconds = 2/60 (press enter) / 60 = 0.006944 hours
The conversions when going from the larger quantity (e.g. hour) to the smaller
quantity (e.g. minute) will be a multiply
y hours = y*60 minutes (e.g. 4 hours = 4*60 = 240 minutes)
g minutes = g*60 seconds (e.g. 3 minutes = 3*60 = 180 seconds)
When going from hours to seconds, multiply by 60 twice!
2.5 hours = 2.5*60*60 = 9000 seconds
Quantitative Reasoning 2
