CET math

Question 1

Formula for RATE

Answer 1

work/time OR

multiplication/addition

Question 2

concentration of solution problems

Answer 2

old concentration = new concentration

L)(conc.) = (L+x)(conc.

Question 3

equation of a line w given intercepts

Answer 3

bx + ay - ab = 0

where b = y intercept and a = x intercept

Question 4

Area of a RHOMBUS

Answer 4

base x height

diagonal 1 x diagonal 2

Question 5

pythagorean triplets

Answer 5

3 - 4 - 5
5 - 12 - 13
8 - 15 - 17

Question 6

Area of a HEXAGON

Answer 6

s^2 (1.5) (SR3)

Question 7

2 types of triangles

Answer 7

45 : 45 : 90 = 1 : 1 : SR2

30 : 60 : 90 = 1 : SR3 : 2

Question 8

Area of a TRAPEZOID

Answer 8

1/2 (base 1 + base 2) h

OR W MIDLINE = (midline)(height)

Question 9

Volume of a CONE

Answer 9

(pi)(r^2)(height) / 3

Question 10

distance w rotation

Answer 10

(angle of rot.)(d)(pi) / 360

Question 11

length of a diagonal

Answer 11

SRdx^2 + dy^2

Question 12

trigonometric identites

Answer 12

csc = 1/sin
sec = 1/cos
cot = 1/tan

tan = sin/cos
cot = cos/sin

sin^2 + cos^2 = 1
1 + tan^2 = sec^2
1 + cot^2 = csc^2

Question 13

sin 0

Answer 13

0

Question 14

sin 30

Answer 14

1/2

Question 15

sin 45

Answer 15

SR2/2

Question 16

sin 60

Answer 16

SR3/2

Question 17

sin 90

Answer 17

1

Question 18

cos 0

Answer 18

1

Question 19

cos 30

Answer 19

SR3/2

Question 20

cos 45

Answer 20

SR2/2

Question 21

cos 60

Answer 21

1/2

Question 22

cos 90

Answer 22

0

Question 23

tan 0

Answer 23

0

Question 24

tan 30

Answer 24

SR3/3

Question 25

tan 45

Answer 25

1

Question 26

tan 60

Answer 26

SR3

Question 27

tan 90

Answer 27

undefined

Question 28

factorial

Answer 28

n! / r! r!

Question 29

circular factorial

Answer 29

(n - 1)!

Question 30

combination = xC0

Answer 30

1

Question 31

combination = xC1

Answer 31

x

Question 32

combination = xC2

Answer 32

x(x-1) / 2

Question 33

percentile position

Answer 33

(nk/100) + 0.5 where k = percentile

Question 34

simple interest

Answer 34

Prt

Question 35

compound interest

Answer 35

P (1 + R/n)^(n)(T) where n = compounding

Question 36

sum of Roots

Answer 36

-B/A in Ax+Bx+C = 0

Question 37

product of roots

Answer 37

C/A in Ax+Bx+C = 0

Question 38

hours of work

Answer 38

k(length) / persons where k = constant of proportionality

Question 39

logarithms

Answer 39

logb^x=y iff b^x = y

Question 40

logb ^x/y

Answer 40

logb^x - logb^y

Question 41

logb^x^n

Answer 41

nlogb^x

Question 42

logb^x

Answer 42

logx / logb

Question 43

ln(x)

Answer 43

loge^x

Question 44

logx

Answer 44

log10^x

Question 45

Permutation = aPb

Answer 45

a! / (a - b)!

Question 46

sine law

Answer 46

sinA/a = sinB/b = sinC/c

Question 47

cosine law

Answer 47

``` a^2 = b^2 + c^2 - 2bccosA b^2 = a^2 + c^2 - 2accosB c^2 = a^2 + b^2 - 2abcosC ```

Question 48

what kind of conic is x=y^2 or y=x^2

Answer 48

parabola

Question 49

what kind of conic is x^2 + y^2

Answer 49

circle

Question 50

what kind of conic is Ax^2 + By^2

Answer 50

ellipse

Question 51

what kind of conic is Ax^2 - By^2

Answer 51

hyperbola

Question 52

eccentricity of a circle

Answer 52

0

Question 53

eccentricity of a parabola

Answer 53

1

Question 54

eccentricity of a ellipse

Answer 54

0 < e < 1

Question 55

eccentricity of a hyperbola

Answer 55

e > 1

Question 56

point slope formula

Answer 56

y - y*subscipt1* = m( x - x*subscript1* )

Question 57

Volume of a CYLINDER

Answer 57

(pi)(r^2)(height)

Question 58

sum of an arithmetic series

Answer 58

Sn = n/2 [2a*subscipt1* + ( n - 1 ) d] where a1 = first value and d = common difference

Question 59

equation of a parabola

Answer 59

(x-h)^2 = 4a(y-k)

Question 60

equation of a ellipse

Answer 60

(x-h)^2 / a^2 + (y-k)^2 / b^2 = 1

Question 61

equation of a circle

Answer 61

(x-h)^2 + (y-k)^2 = r^2

Question 62

equation of a hyperbola

Answer 62

(x-h)^2 / a^2 - (y-k)^2 / b^2 = 1