DAT QR
formula for distance - ANS Distance= velocity x time
Formula for average speed - ANS total distance/total time
Formula for graphing - ANS Y-y1=m(x-x1)
Formula for graphing: midpoint - ANS M= (x1 + x2)/2, (y1 + y2/2)
How many meters in a yard - ANS 1 meter= 1.1 yard
How many grams in a pound? - ANS 454 g= 1 lb
How many pounds in a kilogram - ANS 2.2 lbs= 1 kg
Exponent Rules - ANS • (Xb)(Yb) = (XY)b
• (Xb/Yb) = (X/Y)b
• (Xn)(Xm) = Xn+m
• Xn/Xm = Xn-m
log rules - ANS • log(X)+log(Y)=log(XY)
• log(X)-log(Y)=log(X/Y)
• n*log (X) = log (Xn)
log X=b can be solved as X= 10b
percent increase/decrease - ANS [(X2 -X1)/X1] *100% = percent change
combination - ANS order doesn't matter
N! / (n-r)! x r
REMEMBER: if r is not 2...->need to rmbr other numbers
example : r=3-->3,2,1
Permutation - ANS Order does matter
N! / (n-r)!
example: how many ways can you give 10 teams first and second place
circle formula - ANS Area= pi x r^2
circumference= 2 x pi x r
or pi x D
,Sphere Formula - ANS A= 4 pi x r^2
V= (4/3) pi r^3
hollow cylinder - ANS A= 2 pi r h + 2 pi r^2
V= pi r^2 h
Triangle - ANS A= 1/2b h
rectangle - ANS p = 2L + 2W
A= L x W
square - ANS A= s^2
P= 4s
cube - ANS volume: 6s^2
area: s^3
rectangular prism - ANS volume= area x height
Compound Interest Formula - ANS FV=PV(1+r/n)^nt
quarterly=4
REMEMBER T MUST BE IN YEARS
if it says: 15 months do 15/12=1.25 years
-sometimes question will ask about INTEREST and not the future value, so use formula and
subtract by original amount
30-60-90 triangle - ANS x, x√3, 2x
45-45-90 triangle - ANS x, x, x√2
formula for z score - ANS (x-mean)/standard deviation
Scatterbox graph - ANS Each section is 25% from each other
speed formula - ANS distance/time
If it asks what is concentration of acid
example:
If .2 L of 50% acid solution is added to .4 L of .20% acid solution what's the final concentration -
ANS COncentration= acid / volume
Acid= conc + volume ( multiplied)
, .5 x .2=.1
.4 x .2=.8
.1 + .8 / .6
30 percent
kelvins to c
c to kelvins - ANS F+ 273= C
9/5(C) + 32= F
conversions - ANS 1 incg=h=2.54 cm
1 mile= 5280 ft
1ft=12 inc
1 yard= 3 feet
1 meter= 1.1 yard
1 kg= 2.2 lbs
1 lb= 454g =16 oz
pythagorrean theorem - ANS right triganle
a^2 + b^2 = c^2 (hyppthentus)
special right triangle proprotions: - ANS 3,4,5
5,12,13
distance formula - ANS d = √[( x₂ - x₁)² + (y₂ - y₁)²]
trig - ANS SOHCAHTOA
sin a / cos a = tan a
shortcut to find st dev - ANS 1. get mean
2. subtract each value from the mean
3, get the average of these values
or if gives you zscore and an x value
multiply the values to get st. deviation
rate problems:
person A cuts 10 apples in 30 minutes and person B cuts 15 apples in 30 minutes. How long
would it take to cut 100 apples? - ANS make a proportion to cancel out apples
100 apples = 30 minutes / 25 apples
z score formula - ANS
formula for distance - ANS Distance= velocity x time
Formula for average speed - ANS total distance/total time
Formula for graphing - ANS Y-y1=m(x-x1)
Formula for graphing: midpoint - ANS M= (x1 + x2)/2, (y1 + y2/2)
How many meters in a yard - ANS 1 meter= 1.1 yard
How many grams in a pound? - ANS 454 g= 1 lb
How many pounds in a kilogram - ANS 2.2 lbs= 1 kg
Exponent Rules - ANS • (Xb)(Yb) = (XY)b
• (Xb/Yb) = (X/Y)b
• (Xn)(Xm) = Xn+m
• Xn/Xm = Xn-m
log rules - ANS • log(X)+log(Y)=log(XY)
• log(X)-log(Y)=log(X/Y)
• n*log (X) = log (Xn)
log X=b can be solved as X= 10b
percent increase/decrease - ANS [(X2 -X1)/X1] *100% = percent change
combination - ANS order doesn't matter
N! / (n-r)! x r
REMEMBER: if r is not 2...->need to rmbr other numbers
example : r=3-->3,2,1
Permutation - ANS Order does matter
N! / (n-r)!
example: how many ways can you give 10 teams first and second place
circle formula - ANS Area= pi x r^2
circumference= 2 x pi x r
or pi x D
,Sphere Formula - ANS A= 4 pi x r^2
V= (4/3) pi r^3
hollow cylinder - ANS A= 2 pi r h + 2 pi r^2
V= pi r^2 h
Triangle - ANS A= 1/2b h
rectangle - ANS p = 2L + 2W
A= L x W
square - ANS A= s^2
P= 4s
cube - ANS volume: 6s^2
area: s^3
rectangular prism - ANS volume= area x height
Compound Interest Formula - ANS FV=PV(1+r/n)^nt
quarterly=4
REMEMBER T MUST BE IN YEARS
if it says: 15 months do 15/12=1.25 years
-sometimes question will ask about INTEREST and not the future value, so use formula and
subtract by original amount
30-60-90 triangle - ANS x, x√3, 2x
45-45-90 triangle - ANS x, x, x√2
formula for z score - ANS (x-mean)/standard deviation
Scatterbox graph - ANS Each section is 25% from each other
speed formula - ANS distance/time
If it asks what is concentration of acid
example:
If .2 L of 50% acid solution is added to .4 L of .20% acid solution what's the final concentration -
ANS COncentration= acid / volume
Acid= conc + volume ( multiplied)
, .5 x .2=.1
.4 x .2=.8
.1 + .8 / .6
30 percent
kelvins to c
c to kelvins - ANS F+ 273= C
9/5(C) + 32= F
conversions - ANS 1 incg=h=2.54 cm
1 mile= 5280 ft
1ft=12 inc
1 yard= 3 feet
1 meter= 1.1 yard
1 kg= 2.2 lbs
1 lb= 454g =16 oz
pythagorrean theorem - ANS right triganle
a^2 + b^2 = c^2 (hyppthentus)
special right triangle proprotions: - ANS 3,4,5
5,12,13
distance formula - ANS d = √[( x₂ - x₁)² + (y₂ - y₁)²]
trig - ANS SOHCAHTOA
sin a / cos a = tan a
shortcut to find st dev - ANS 1. get mean
2. subtract each value from the mean
3, get the average of these values
or if gives you zscore and an x value
multiply the values to get st. deviation
rate problems:
person A cuts 10 apples in 30 minutes and person B cuts 15 apples in 30 minutes. How long
would it take to cut 100 apples? - ANS make a proportion to cancel out apples
100 apples = 30 minutes / 25 apples
z score formula - ANS
