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WorksheetsCATSO international quiz
Total questions: 178
Worksheet time: 15mins
Name
Class
Date
1.
the derivative of a constant is always:
a)
1
b)
x
c)
0
d)
2
2.
the function whose graph is a straigt line is called:
a)
qudratic func
b)
cubic func
c)
linear func
d)
constant func
3.
the logaritm of 1 to any base is:
a)
1
b)
0
c)
2
d)
undefined
4.
the inverse trigonometric function of sin(x) is:
a)
arcsin
b)
arccos
c)
arctan
d)
arccot
5.
a matrix with equal number of rows and columns is called
a)
rectangle
b)
square
c)
identity
d)
null
6.
the additive identity in real numbers is
a)
1
b)
-1
c)
0
d)
2
7.
a set with no element is called
a)
singleton
b)
universal
c)
null set
d)
finite set
8.
the value of sin^2theta+cos^2theta is always
a)
0
b)
theta
c)
2
d)
1
9.
the line which intersects a circle at two points is called
a)
tangent
b)
secant
c)
chord
d)
diameter
10.
the fundamental principle of counting is used in
a)
integers
b)
trigonometry
c)
permutation combination
d)
calculus
11.
the binomial theorem is applicable to
a)
only integers
b)
rational nums
c)
any real exponent
d)
only natural nums
12.
a relation is called a function if
a)
every elemant has many images
b)
no element has an image
c)
every element has a unique image
d)
some elements have two images
13.
the solution of |x|=a, where a>0, is
a)
x=a only
b)
x=-a only
c)
x=+-a
d)
none
14.
the median of a data set represents
a)
most frequent value
b)
middle value
c)
avg value
d)
largets value
15.
the measure of central tendency most affected by extereme values is
a)
median
b)
mode
c)
mean
d)
none
16.
the line y=mx+c intersects the y-axis at
a)
(m,0)
b)
(c,0)
c)
(0,c)
d)
(0,m)
17.
the integral of 1/x is
a)
e^x
b)
ln|x|
c)
x^2/2
d)
cos x
18.
a triangle with all three sides equal is called
a)
isoceles
b)
right angled
c)
equilatoral
d)
scalene
19.
a sample is called unbiased if
a)
if favors the population
b)
it ignores data
c)
it represents the population fairly
d)
it is partial
20.
the perpendicular drawn form the centre of a circle to a chord
a)
bisects the circle
b)
bisects the chord
c)
becomes diameter
d)
tangent to chord
21.
the exponantial function is alwaya
a)
negative
b)
positive
c)
zero
d)
undefined
22.
in probbility, the sum of probablities of all possible outcomes is
a)
-1
b)
1
c)
infinite
d)
0
23.
the domain of y=underroot x is
a)
all real nums
b)
neagtive nums
c)
x>=0
d)
none
24.
the grap of y=x^2 is
a)
straight line
b)
parabola
c)
circle
d)
ellipse
25.
the additive inverse of a number a is
a)
1/a
b)
a
c)
minus a
d)
0
26.
the harmonic mean is always
a)
equal to arithmetic mean
b)
lass tha or equal to arithematic mean
c)
greater than arithmetic mean
d)
undefined
27.
the midpoint of a line segment divides it in the ration
a)
02:01:00
b)
01:02:00
c)
01:01:00
d)
01:00:00
28.
the gradient of a vertical line is
a)
undefined
b)
-1
c)
1
d)
0
29.
the product of roots of a quadratic ax^2+bx+c=0 is
a)
dd
b)
dd
c)
c/a
d)
dd
30.
the Cartesian Product AxB represents
a)
union of A and B
b)
intersection of A and B
c)
ordered pairs from Aand B
d)
difference of A and B
31.
the limit of sin x / x as x-->0 is
a)
0
b)
infinite
c)
1
d)
undefined
32.
if two lines are perpendicular, the product of their slopes is
a)
1
b)
-1
c)
0
d)
undefined
33.
the nth term of an arithmetic sequence is given by
a)
ar
b)
a+r(n-1)
c)
a+(n-1)d
d)
a-(n-1)d
34.
the range of sin x is
a)
infinity
b)
[-1,1]
c)
[0,infinty)
d)
[0,1]
35.
the variance of a contsant is always
a)
1
b)
2
c)
0
d)
undefined
36.
a polygon with 8 sides is called
a)
heptagon
b)
octagon
c)
nonagon
d)
decagon
37.
the roots of quadratic are real and equal when discriminant is
a)
negative
b)
positive
c)
zero
d)
undefined
38.
the complement of an enevt A is denoted by
a)
A U B
b)
A/\B
c)
A'
d)
null
39.
a line touching a circle at exactly one point is
a)
chord
b)
secant
c)
tangent
d)
radius
40.
the logrithmic function is the inverse of
a)
exponential func
b)
linear func
c)
quadratic func
d)
cubic func
41.
the correlation coefficient lies between
a)
2 and -2
b)
0 amd 1
c)
1 and -1
d)
infinity
42.
a circle is a locus of points which are
a)
collinear
b)
equidastant from a fixed point
c)
prallel
d)
random
43.
in calculus, dy/dx is always
a)
integral
b)
funtion
c)
derivative
d)
limit
44.
the function y= cos x is
a)
both
b)
neither
c)
even
d)
odd
45.
a funtion which is both one-to-one and onto is called
a)
injective
b)
bijective
c)
surjective
d)
constant
46.
a quadrilateral with both pairs of opposite sides parallel is
a)
trapezium
b)
kite
c)
parallelogram
d)
rhombus
47.
in statistics, the most frequently occuring value is
a)
median
b)
mean
c)
mode
d)
range
48.
if two sets have no common element, they are called
a)
equal sets
b)
disjoint sets
c)
universal sets
d)
finite set
49.
the symmetry of y=x^2 is about
a)
x-axis
b)
y-axis
c)
line y=x
d)
origin
50.
the angle between the tanget and radius at the point of contact is
a)
0
b)
90
c)
180
d)
45
51.
the sum of interior angles of a pentagon is
a)
360
b)
540
c)
720
d)
900
52.
the inverse of a squre matrix A is denoted by
a)
|A|
b)
adj A
c)
A^-1
d)
AT
53.
the determinant of an identity matrix is always
a)
0
b)
-1
c)
1
d)
infinity
54.
if aCb , and bCa, then a and b are
a)
disjoint
b)
equal
c)
empty
d)
infinite
55.
a sequence that appoaches a fixed value is called
a)
divergant
b)
infinite
c)
convergant
d)
random
56.
the line y=0 is known as
a)
origin
b)
line y=x
c)
y-axis
d)
x-axis
57.
the value of cos (90) is
a)
1
b)
-1
c)
0
d)
undefined
58.
if the sum of two odd nums is always even, then which of the followings is always true
a)
odd+odd=even
b)
odd+odd=odd
c)
odd+odd=prime
d)
odd+odd=multiple of 3
59.
which property explains:a(b+c)=ab+ac
a)
commutative
b)
associative
c)
distributive
d)
identity
60.
a num divided by 9 leaves remainder 0, which statement is true
a)
sum of digits is divisible by 9
b)
num ends with 9
c)
num ends with 0
d)
num is prime
61.
if the squre of a num is even , then the num itself is
a)
odd
b)
even
c)
prime
d)
composite
62.
which statement is always true for probability
a)
probability<0
b)
probability>1
c)
0<=probability<=1
d)
probability=-1
63.
if a set has 3 elemnets, then it power set contains
a)
3
b)
8
c)
6
d)
9
64.
in any triangle, the sum of tw sides is always
a)
smaller tan thrd side
b)
equal to thrd side
c)
greater than thrd side
d)
multple of thrd side
65.
which of the following funcs is one-to-one
a)
y=x^2
b)
y=2x+1
c)
y=|x|
d)
y=cos x
66.
the intersction of two disjoint sets is always
a)
universal set
b)
empty set
c)
null or universal
d)
singleton
67.
whih of the following is an equivilance relation
a)
is less than
b)
is greater than
c)
is not equal to
d)
is equal to
68.
which statement about prime numbers is crct
a)
all even numbers are rime
b)
all odd numbers are prime
c)
evry prime is greater than 2 is odd
d)
1 is prime
69.
which of the followig graphs is symmetric about the origin
a)
y=x^2
b)
y=|x|
c)
y=x^3
d)
y= cos x
70.
if a function is increasing, the slope of tanget lines is
a)
zero
b)
negative
c)
positive
d)
undefined
71.
which of the following is not a property of real numbers
a)
associative
b)
commutative
c)
distributive
d)
reflexive
72.
which statement about irrational numbers is correct
a)
can be written as ratio of integers
b)
terminates
c)
never terminates or repeats
d)
are always prime
73.
in any probablity distribution, the sum of probabilities of all outcomes is
a)
0
b)
2025-01-02 00:00:00
c)
1
d)
infinite
74.
which of the following is true about convex polygons
a)
all diagonals lie outside polygon
b)
all diagonals lie inside polygon
c)
some angles>180
d)
all angles=180
75.
which is always true about arithematic sequence
a)
ratio is constant
b)
diff is constant
c)
common diff is constant
d)
terms are prime
76.
which logic statement is a tautology
a)
P/\~P
b)
P V ~P
c)
p-->q
d)
P/\Q
77.
which sequence is geometric
a)
2,4,6,8
b)
1,2,5,8
c)
1,2,4,8
d)
5,7,9,11
78.
which statement bout functions is true
a)
every relation is a function
b)
neither
c)
each element of domain has exactly one iamge
d)
function has no inverse
79.
which property defines additive inverse
a)
a+0=a
b)
a x 1=a
c)
a+(-a)=0
d)
a x0 =0
80.
which statement about circles is always true
a)
all radii are unequal
b)
all radii are equal
c)
diameter<radius
d)
circumference=radius
81.
whih property is used in (a+b)+c=a+(b+c)
a)
commutative
b)
associative
c)
distributive
d)
identity
82.
which statement is always true about odd nums
a)
odd x odd = even
b)
odd x odd=odd
c)
odd x even=odd
d)
odd+odd=odd
83.
which statemnet describes bijection
a)
only one-to-one
b)
only onto
c)
one-to-one and onto
d)
neither
84.
which set is countable
a)
real nums
b)
irratinal nums
c)
natural nums
d)
points on a line
85.
the complement of universal set is
a)
universal
b)
null
c)
null set
d)
infinite
86.
which statement about tangent line to a circle is true
a)
tangent cuts circle at 2 ponts
b)
tangent touches circle at exactly 1 point
c)
tangent passes through centre
d)
tangent never touches circle
87.
if two parallel lines are cut bya transversal, alternate interior angles are
a)
unequal
b)
supplementary
c)
equal
d)
90
88.
which statement describes probability of an impossible event
a)
1
b)
0
c)
0.5
d)
undefined
89.
which statement about symmetry is crct
a)
all functions are symmetric
b)
odd functions are symmetric about y-axis
c)
even functions are symmetric about y-axis
d)
odd functions have no symmetry
90.
which conditiin make quadratic equation have equal roots
a)
b^2-4ac<0
b)
b^-4ac>0
c)
b^2-4ac=0
d)
b^2 -4ac=1
91.
which I always true in probability experiment
a)
sample space is empty
b)
sample space has infinite outcomes
c)
every outcome belongs to sample space
d)
sample space has no subsets
92.
which property of determinant holds true
a)
determinant=aways sum of diagonals
b)
determinant is always positive
c)
if two rows are identical, determinant=0
d)
if two rows are identical, determinant not=0
93.
which graph represents a fnction
a)
circle
b)
vertical line
c)
parabola(y=x^2)
d)
ellipse
94.
which set is infinite
a)
{0}
b)
{x E N | x>0}
c)
{a,b,c}
d)
{1,2,3}
95.
which is the contrapositive of "if n is prime, then n is odd"
a)
if n is not odd, then n is not rime
b)
if n is even, then n is not prime
c)
if n is odd, then nn is prime
d)
if n is prime, then n is odd
96.
which is true about standard deviation
a)
can be negative
b)
always 0
c)
always non-neagative
d)
always 1
97.
which fun is even
a)
f(x)= x^3
b)
f(x)=sin x
c)
f(x)=cos x
d)
f(x)= tan x
98.
which fun is odd
a)
f(x)= x^3
b)
f(x)=sin x
c)
f(x)=cos x
d)
f(x)=x^2
99.
which of the followingg is reflexive
a)
a not=a
b)
a=a
c)
a<a
d)
a>a
100.
which is true about diagonals of rectangle
a)
equal and perpendicular
b)
unequal and perpendicular
c)
unequal and not bisecting
d)
equal and bisecting
101.
which set id countable
a)
integers
b)
rational nums
c)
real nums
d)
natural nums
102.
which func has no inverse
a)
one-to-one
b)
biective
c)
many-to-one
d)
onto
103.
which is always true in parallelogram
a)
all sides equal
b)
all angles 90
c)
opposite sides are parallel
d)
diagonals are equal
104.
which logic law: P V (Q AP)=P
a)
distributive
b)
absorption
c)
de morgans law
d)
idempote
105.
a polynomial od dgree 2 is called
a)
linear
b)
quadratic
c)
cubic
d)
constant
106.
the slope of a horizontal line is
a)
1
b)
0
c)
infinite
d)
undefined
107.
which of the followig graphs is boundeed btw -1 and 1
a)
y=x
b)
y=x^2
c)
y = sin x
d)
y=e^x
108.
which is true for any real number a
a)
a^2<0
b)
a^2=0
c)
a^2=>0
d)
a^2=<0
109.
which statement about ijective function is true
a)
has no inverse
b)
has many inverses
c)
has unique inverse
d)
has undefined inverse
110.
which logic law: ~(P A Q) = ~P V ~Q
a)
absorption
b)
Idempodent
c)
de morgans law
d)
associative law
111.
which condition makes a quadrilatoral cyclic
a)
all sides equal
b)
all angles 90
c)
opposite angles are supplementray
d)
opposite sides equal
112.
which func is not bounded
a)
sin x
b)
cos x
c)
x^2
d)
tan x
113.
which property : a x 1 =a
a)
additive identity
b)
multiplicative identity
c)
zero property
d)
inverse property
114.
which property :a + (-a) =0
a)
multiplicative inverse
b)
identity
c)
additive inverse
d)
zero property
115.
which statement about tangent func is true
a)
always continuous
b)
undefined at odd multipes of pie/2
c)
range is []
d)
even func
116.
which is always true in symmetric matrix
a)
aij=-aij
b)
aij=aji
c)
aij=0
d)
aij=1
117.
which is the compliment law in sets
a)
A U A'=U
b)
A U A"=U
c)
A/\A=A
d)
A/\B=U
118.
whih of the following graphs is not a func
a)
y=2x
b)
y=x^2
c)
circle
d)
y=tann x
119.
the union of a set with empty set is always
a)
the set itself
b)
universal
c)
null set
d)
singleton
120.
which relation is always symmetric
a)
is less than
b)
is greater than
c)
is equal to
d)
is divides
121.
which function is many-to-one
a)
y=x
b)
y=x^2
c)
y=x^3
d)
y=2x+1
122.
which set operation is impodent
a)
AUB
b)
A/\B
c)
AUA=A
d)
A/\B=U
123.
which law: A Q(B U C) = (A Q B) U (A Q C)
a)
idempodent
b)
absorption
c)
distributive
d)
de morgans
124.
which is not an equivilance relation
a)
reflexive
b)
symmetric
c)
transitive
d)
antisymmetric
125.
which property describes one-to-one correspondance
a)
onto only
b)
bijection
c)
many-to-one
d)
reflexivity
126.
which is not a valid probablity value
a)
0
b)
1
c)
-0.5
d)
0.8
127.
the set of all real roots of x^2 + 1 = 0 is
a)
{0}
b)
{1}
c)
null
d)
R
128.
whih is the identity element of addition in real nums
a)
1
b)
-2
c)
0
d)
-1
129.
which of the followinng is not a func
a)
y=2x
b)
y=x
c)
x^2+y^2=1
d)
y=logx
130.
which is always tru in arithematic sequence
a)
ratio is constant
b)
diff is constant
c)
product is constant
d)
terms are odd
131.
which property of logratims :log(ab) =log a + log b
a)
quoteniet law
b)
product law
c)
power aw
d)
cahnge of base
132.
which func is periodic
a)
y=x
b)
y=x^2
c)
y=sin x
d)
y=ln x
133.
which angle measure gives max value of sine
a)
0
b)
30
c)
90
d)
180
134.
which is NOT true about even functions
a)
symmetric abt y-axis
b)
f(-x)=f(x)
c)
symmetric abt y axis
d)
symmetric abt origin
135.
which is true about odd funcs
a)
dd
b)
dd
c)
dd
d)
f(-x)=-fx
136.
which function has restricted domain in real nums
a)
y=x
b)
y=x^3
c)
y=1/x
d)
y=2x
137.
the slope of line parallel to x-axis is
a)
0
b)
undefined
c)
0
d)
infinite
138.
the slope of line perpendicualr to x-axis is
a)
0
b)
undefined
c)
1
d)
-1
139.
the detreminant of identity matrix is always
a)
0
b)
-1
c)
1
d)
2
140.
if rows of a determinant are proportional , then its value is
a)
positive
b)
neagative
c)
zero
d)
non-zero
141.
which matrix property is crct
a)
dd
b)
dd
c)
dd
d)
(AB)C=A(BC)
142.
which is the inverse of cos
a)
sin
b)
arccos
c)
sec
d)
cot
143.
which trognometric identity is crct
a)
sin^2()+cos^2()=1
b)
DSD
c)
SDdsd
d)
dsdA
144.
which is NOT a vector quantity
a)
force
b)
velocity
c)
speed
d)
acceleration
145.
which vectors are perpendicular
a)
a.b=0
b)
a.b=1
c)
a.b>0
d)
a.b=0
146.
which property is true about cross product
a)
axb=bxa
b)
axa not=0
c)
a x b=-(bxa)
d)
|axb|=0 always
147.
which vector is unit vector
a)
|a|=0
b)
|a|=2
c)
|a|=1
d)
|a|=-1
148.
which is the measure of randomnes in prabability
a)
mean
b)
variance
c)
entropy
d)
median
149.
which is NOT a property of variance
a)
non-neagtive
b)
always=<mean
c)
zero if all values equal
d)
measures spread
150.
which of the following is a continuos random variable
a)
no of boys in a class
b)
height of a student
c)
number of heads in 5 tosses
d)
o of pages in a book
151.
which of the following is a descrete random variable
a)
weight of a student
b)
number of qs in a lis
c)
temperature
d)
time
152.
which distribution ha s equal mean, median and mode
a)
binomaial
b)
poisson
c)
normal
d)
exponential
153.
which is not a measure of centra tendency
a)
mean
b)
median
c)
mode
d)
variance
154.
which is not a measure of despersion
a)
range
b)
standard deviation
c)
variance
d)
median
155.
which is expressed by (AUB)' = A' /\ B'
a)
idempodent
b)
associative
c)
de morgans law
d)
absorptiion
156.
which Is not possible for a relation
a)
reflexive
b)
symmetric
c)
transitive
d)
both symmetric an d antisymmetric(unless trivial)
157.
which funtion is strictly increasing
a)
y=cos x
b)
y=-x
c)
y=e^x
d)
y=-x^2
158.
what is the range of sinx
a)
(0,infinity)
b)
[-1,1]
c)
undefined
d)
[0,infinity)
159.
what is the range of cosx
a)
(0,infinity)
b)
[-1,1]
c)
undefined
d)
[0,infinity)
160.
which is the domain of y=logx
a)
R
b)
[1,infinity)
c)
(0,infinity)
d)
indefined
161.
which is not true about tangent unction
a)
period=pie
b)
undefined at pie/2
c)
range=[-1,1]
d)
odd func
162.
which is sthe slope of tangent at vertex of y=x^2
a)
1
b)
-1
c)
0
d)
2
163.
which statement is true about definite integrals
a)
gives slope of tangent
b)
represents area under curve
c)
always positive
d)
infinite
164.
which is the dervivative of a contant
a)
1
b)
x
c)
0
d)
undefined
165.
which is not a property of derivative
a)
linearity
b)
product rule
c)
chain rule
d)
reflexivity
166.
which is the slope of line y=2x+3
a)
3
b)
2
c)
-2
d)
0
167.
which is the y-intercept of line y=5x-7
a)
5
b)
-5
c)
-7
d)
7
168.
which shape aways has diagonals perpendicular
a)
rectangle
b)
parallelogram
c)
rhombus
d)
trapezium
169.
which quadrilateral is lways cyclic
a)
squre
b)
retangle
c)
any rectangle
d)
rhombus
170.
which statement about ellipse is true
a)
one focus
b)
two foci
c)
center at infinity
d)
axis=circle
171.
which conic has eccentricity=0
a)
hyperbola
b)
parabola
c)
circle
d)
ellipse
172.
which is the eccentricity of parabola
a)
0
b)
<1
c)
>1
d)
1
173.
which conic has eccentricity>1
a)
circle
b)
ellipse
c)
parabola
d)
hyperbola
174.
which system of equation have no solutions
a)
consistent
b)
dependant
c)
inconsistance
d)
homogoneous
175.
which system of equation has infinitely many solutions
a)
inconsistant
b)
independent
c)
dependent
d)
condradictorary
176.
which system has unique solution
a)
inconsistant
b)
independent
c)
dependent
d)
parallel lines
177.
which transformation preserves distance and angle
a)
shear
b)
isometry
c)
dilation
d)
scaling
178.
the sandard deviation is always
a)
negative
b)
zero
c)
non-neagtive
d)
undefined
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