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WorksheetsRevision series - 1
Total questions: 180
Worksheet time: 3hrs 0mins
Which of the following is composite number
2
9
5
11
Which of the following are coprimes
4,6
8,9
5,10
10,12
H.C.F. of any two prime numbers is (a)
L.C.M of 17,23 is________
391
231
651
567
Last digit of 6 power n is‐----
6
0
5
7
When divisor is 4 then possible remainders are-------'
3,4,5
1,2,3
0,1,2,3
Greater than 5
as per euclid division lemma when divisor is 3 then possible integers are____
3q,3q+1,3q+2
3q+1,3q+2,3q+3
3,4,5,6
None
When divisor is 3, square of any integer should be of the form of _______,____
(a)
LCM of 19 and 23 is
437
247
3258
None
what is H.C.F. of 29 and 31
5
1
23
29
Which of the following is non-terminating decimal
1/2
12/5
17/14
9/10
For some integer m , every even integer is of the form
m
2m+1
2m
m+1
The product of a non-zero rational and an irrational numbers is
Always irrational
Always rational
Rational r irrational
1
If the HCF of 60 and 110 is expressible in the form 60m-110, then the value of m is
4
2
1
3
A rational numbers can't be expressed as
Terminating decimal
Non-terminating repeating decimal
Non terminating non repeating decimal
Recurring decimal
π is
terminating decimal
rational number
irrational number
recurring decimal
Which of the following is not a terminating decimal
23/32
41/75
41/50
23/2³5²
p/q form of the decimal 0.875 is
7/8
25/31
7/12
6/7
HCF of 144 and 420 is 12 then their LCM is
6040
4200
1440
5040
The unit digit in 6¹²⁵ is
1
5
6
0
1. degree of the polynomial P(x) = x4 + 3x2−5x + 8
4
3
2
1
2. If p(x) = ax + b, then zero of p(x) is ________
a/c
-b,/a
a
b
3. Graph of a quadratic polynomial is a_______
(a) straight line
(b) circle
(c) parabola
(d) ellipse
4.The degree of a linear polynomial is:______
2
3
4
1
5, Find the zeroes of the polynomial P ( x ) = x2 − 3
±3
4
3
±3
6. In the given graph, the number of zeros of the polynomial y = p(x) is:______
3
4
2
1
7. If P(x) = 2x 3 + 3x2 – 11x + 6 , then find the value of P ( 1 )._____
1
2
3
0
8. Degree of the constant polynomial is _________________
0
1
2
3
9.if two zeroes are 3 & 2 then write the quadratic polynomial is ______________
x2+2x −3
x2−5x +6
x2+5x +3
x2+2x −6
10. If product of the zeroes is one in quadratic polynomials then which of the following is correct ------------
a=c
a = b
c= b
a
which of the following expressions are polynomial
4x²+5x-2
y²-8
5
all above
The variable in the polynomial p(x)=3xyz
x
y
z
x,y,z
Number of terms in a polynomial p(x)=x³-4x+2 is
1
4
2
3
The degree of the polynomial p(x)= x⁶-3x⁷+8x+5
6
7
5
8
The constant term of the polynomial p(x)= x⁶-3x⁷+8x⁵+4x-5 is
1
-3
8
-5
The co-efficient of x³ in the polynomial p(x)= 2-x³+x²
2
-1
1
3
x²+x+4 is a
Quadratic polynomial
cubic polinomial
linear polinomial
simple polynomial
2x+1 is
linear polynomial
quadratic polynomial
cubic polynomial
none of these
x-x³ is a
linear polynomial
binomial
cubic polynomial
quadratic polynomial
If p(x)= 2x+1 then p(0)=
2
1
3
0
kx + 4y = 5 ; 3x + 2y = 5
is consistent only when:
The line represented by x = 7 is parallel to x - axis
The line represented by y = 0 is parallel to y - axis.
There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?
d + c = 174
4d + 2c = 50
d + c = 50
4d + 2c = 174
d + c = 50
2d + 4c = 174
d + c = 174
2d + 4c = 50
Every Quadratic equation has exactly one root
A quadratic equation ax2 + bx + c = 0 has equal roots, then b2 - 4ac = 0
Solve the following quadratic equation...
x2 + 9x + 20 = 0
x = -2
x = -10
x = -5
x = -4
x = -1
x = -20
x = 4
x = 5
x2-18x+____=(x- ____)2
2x2 - 9x - 35 = 0
If 21 is a root of the equation x2 + kx − 45 then the value of k is
2
-2
3
-3
A natural number, when increased by 12, equals 160 times its reciprocal. Find the number.
3
8
4
7
3
5
4
7
In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.
12,18
13,17
Both 12,18 and 13, 17
None of these
A motorboat whose speed in still water is 18 km/hr, takes 1 hour more to go 24km upstream than to return downstream to the same spot. Find the speed of the stream.
6 km/hr
8 km/hr
10 km/hr
12 km/hr
The sum of the square of two consecutive natural number is 421 . find the numbers
14 and 5
14 and 15
10 and 5
none of these
1) Find the missing term 1 , 5, 9,---, 17, 21
11
12
13
14
Find the missing term
12 , 22 , 32 , 42 , ---
43
22
62
52
12 , 10 ,8 , 6 , ---
2
4
0
3
5 , 5 , 5 , ---
1
2
3
5
Write the sixth term of the AP
2 , 12 , 22 , 32 ,
42
62
52
72
100, 90 , 80 , ---In the AP each term is reduced by
10
20
30
40
3, 3 ,3 ,3 ,3 .. In this AP common difference is
1
2
0
4
Find the fifth term of the AP
3, 7 , 11 ,
14
15
19
12
Find the missing term
50, 45 , 40 , 35 , ---
35
30
40
2
Find the next term 1 , 10 , 100 , 1000 ,
1000
10000
10
1
In an AP, if d = –4, n = 7, an = 4, then a is
The 10th term of the AP: 5, 8, 11, 14, ... is
The 21st term of the AP whose first two terms are –3 and 4 is
The next term of an AP 7 , 28 , 63 ,......is
70
84
98
112
What is the formula for the nth term of the AP 32, 1, 34, ...
Tn=31(n−1)
Tn=31(n+1)
Tn=32(n+1)
Tn=32(n−1)
4, 7, 10, 13 are ....
All circles are
similar
congruent
both similar and congruent
none of these
All _____ triangles are similar
scalene
isosceles
equilateral
right angled
If a line divides any two sides of a triangle in the same ratio then the line is_____ to the third side
equal
parallel
intersecting
coinciding
in the fig, if DE ll BC then find the value of AD
16
8
4
32
In the fig, DE ll BC. find the value of EC
4
18
12
16
The mathematician who proposed basic proportionality theorem
Pythagoras
thales
euclid
Aryabhatta
If ΔABC and ΔDEF are similar triangle such that A=450 and F=560 , then C is equal to
450
560
1010
790
Two poles of height 9 m and 15 m stand vertically upright on a plain ground, if the distance between their tops is 10 m then the distance between their foot is
9 m
7 m
8 m
6 m
A vertically stick 20 m long casts a shadow 10 m long on the ground, At the same time a tower casts a shadow 50 m long on the ground, The height of the tower is
100 m
120 m
25 m
200 m
ΔABC ∼ ΔDEF, AB=4 cm BC=3.5 cm CA=2.5 cm and DF=7.5 cm, then perimeter of ΔDEF is
10 cm
14 cm
25 cm
30 cm
Point (0 , -7) lies______
x-coordinate of a point is also known as _____
Ordinate
Origin
Abscissa
Ordered pair
Point (1 , -1) and (-1 , 1) lies in the same quadrant
What is the mirror image of (3 , 9) considering x-axis as mirror?
(3 , -9)
(9 , 3)
(-9 , -3)
(-3 , -9)
What shape is form when we join point (0,7) , ( 0,0) , (8,0)?
Rectangle
Triangle
Square
Parallelogram
The points (-3 , 0), (0 , 0) and (0 , 2) are collinear
(sin30° + cos30°) – (sin 60° + cos60°)
-1
0
1
2
Value of tan30°/cot60° is:
1/√2
1/√3
√3
1
sec2θ – 1 = ?
tan2θ
tan2θ + 1
cot2θ – 1
cos2θ
If cos A = 4/5, then tan A = ?
3/5
3/4
4/3
4/5
If sin A + sin2 A = 1, then cos2 A + cos4 A = ?
1
0
2
4
If sin A = 1/2 and cos B = 1/2, then A + B = ?
0°
30°
60°
90°
In a right triangle ABC, the right angle is at B. Which of the following is true about the other two angles A and C?
There is no restriction on the measure of the angles
Both the angles should be obtuse
Both the angles should be acute
One of the angles is acute and the other is obtuse
Given that sin θ = ba
then cos θ is equal to
b2−a2b
ab
bb2−a2
b2−a2a
The value of sin² 30° – cos² 30° is
2−1
23
23
3−2
The maximum value of cosecθ1 is
0
1
23
2−1
If the length of the shadow of tower is increasing, then the angle of elevation of the sun is also increasing
Which trigonometric ratio should you use?
Tangent Ratio
Sine Ratio
Cosine Ratio
Any ratio
What is the surface area of this prism?
160 cm2
80 cm2
100 cm2
150 cm2
What is the height and base of the triangle?
8 and 12
3 and 11
12 and 3
8 and 3
The radii of two cylinders are in the ratio 3: 5 and their heights are in the ratio 2 : 3. Find the ratio of their CSA.
3 : 5
2 : 5
2: 3
3: 4
The ratio of the heights of two cones is 1: 3 and their radii are in the ratio 3: 1. The ratio of their volumes is
1 : 3
2 : 1
3 : 1
4: 1
A solid right circular cone of height 84 cm and radius of base 21 cm is melted and recast into a solid sphere. What is the diameter of the sphere?
21 cm
32 cm
42 cm
48 cm
A solid metallic sphere of diameter 8 cm is melted and drawn into a cylindrical wire of uniform width. If the length of the wire is 12 m, find its width.
2/15 am
4/15 cm
8/15 cm
4/30 cm
A rectangular piece of paper 100 cm X 44 cm is rolled along its length to form a cylinder. The volume of the cylinder so formed is
15400 cu. cm
7700 cu. cm
30800 cu. cm
15600 cu. cm
The height of a cone is 8 cm and the area of its base is 156 sq. cm. What is its volume?
312 cubic cm
334 cubic cm
416 cubic cm
468 cubic cm
12 solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm and height 16 cm. The diameter of each sphere now is
2 cm
3 cm
4 cm
6 cm
The volumes of two spheres are in the ratio 64 : 27. Then the ratio of their surface areas is
3 : 4
4 : 3
9 : 16
16 : 9
The volume of the largest right circular cone that can be carved out from a cube of edge 4.2 cm is
9.7 cu. cm
77.6 cu. cm
58.2 cu. cm
19.4 cu. cm
A metallic spherical shell of internal and external diameters 4 cm and 8 cm, respectively is melted and recast into a cone of base diameter 8 cm. The height of the cone is
12 cm
14 cm
15 cm
18 cm
