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9th Unicorn quizz as on 27.1.23

Total questions: 25

Worksheet time: 13mins

Name
Class
Date
1.

An angle which measures more than  180°180\degree  but less than  360°360\degree  , is called ...

a)

an acute angle

b)

an obtuse angle

c)

a straight angle

d)

a reflex angle

2.

Two complementary angles are such that twice the measure of the one is equal to three times the measure of the other. The larger of the two measures

a)

72°72\degree

b)

54°54\degree

c)

63°63\degree

d)

36°36\degree

3.

In the given figure,

AB  CD. If AOB = 124°, OCD = 136°, then AOC = ?AB\ \parallel\ CD.\ If\ \angle AOB\ =\ 124\degree,\ \angle OCD\ =\ 136\degree,\ then\ \angle AOC\ =\ ?  

a)

80°80\degree  

b)

90°90\degree  

c)

100°100\degree  

d)

110°110\degree  

4.

AB and CD are two parallel lines, PQ cuts AB and CD at E and F respectively. EL is the bisector of  FEB\angle FEB  . 

If LEB = 35°, then CFQ = ?If\ \angle LEB\ =\ 35\degree,\ then\ \angle CFQ\ =\ ?  (draw diagram and solve )

a)

55°55\degree  

b)

70°70\degree  

c)

110°110°  

d)

130°130°  

5.

It is given that Δ ABC  Δ FDE \Delta\ ABC\ \cong\ \Delta\ FDE\  and AB = 5 cm ,   B = 40°\angle\ B\ =\ 40\degree

and  A = 80°\angle A\ =\ 80\degree  , then which of the following is true ?

a)

  DF = 5 cm, F = 60°DF\ =\ 5\ cm,\ \angle F\ =\ 60\degree  

b)

DF = 5 cm, E = 60°DF\ =\ 5\ cm,\ \angle E\ =\ 60\degree  

c)

DE = 5 cm, E = 60°DE\ =\ 5\ cm,\ \angle E\ =\ 60\degree  

d)

DE = 5 cm, D = 40°DE\ =\ 5\ cm,\ \angle D\ =\ 40\degree  

6.

 In given figure,  Δ OAP Δ OBP\Delta\ OAP\ \cong\Delta\ OBP . ..............is the criteria by which the triangles are congruent 

a)

SAS

b)

AAS

c)

RHS

d)

SSS

7.

In given figure, if AB = BC and  A = C\angle A\ =\ \angle C  , Then find the value of x

a)

55°55\degree  

b)

75°75\degree  

c)

105°105\degree  

d)

85°85\degree  

8.

In the given figure, AB>AC. If BO and CO are the bisectors of B\angle B and C\angle C respectively, then  

a)

OB=OC

b)

OB>OC

c)

OB<OC

9.

ABCD is a parallelogram and E is the mid-point of BC. DE and AB when produced meet at F. Then, AF =

a)


32AB\frac{3}{2}AB

b)

2 AB

c)

3 AB

d)

54AB\frac{5}{4}AB

10.

In a quadrilateral ABCD, A+C\angle A+\angle C is 2 times B+D\angle B+\angle D . If A=140°\angle A=140\degree and D=60°\angle D=60\degree , then B=\angle B=  

a)

60°60\degree  

b)

80°80\degree  

c)

120°120\degree  

d)

None of these

11.

If the length of a chord of a circle is 16 cm and is at a distance of 15 cm from the centre of the circle, then the radius of the circle is

a)

15 cm

b)

16 cm

c)

17 cm

d)

34 cm

12.

If O is the centre of a circle of radius r and AB is a chord of the circle at a distance  r2\frac{r}{2}   from O, then

BAO=\angle BAO=  

a)

60°60\degree  

b)

45°45\degree  

c)

30°30\degree  

d)

15°15\degree  

13.

ABCD is a cyclic quadrilateral such that ADB=30°\angle ADB=30\degree and  DCA=80°\angle DCA=80\degree , then DAB=\angle DAB=    

a)

70°70\degree  

b)

100°100\degree  

c)

125°125\degree  

d)

150°150\degree  

14.

ABC is a triangle with B as right angle, AC = 5 cm and AB = 4 cm. A circle is drawn with A as centre and AC as radius. The length of the chord of this circle passing through C and B is

a)

3 cm

b)

4 cm

c)

5 cm

d)

6 cm

15.

Let C be the mid-point of an arc AB of a circle such that (image). If the region bounded by the arc ACB and line segment AB is denoted by S, then the centre O of the circle lies

a)

in the interior of S

b)

in the exterior of S

c)

on the segment AB

d)

on AB and bisects AB

16.

If A, B, C are three points on a circle with centre O such that AOB=90°\angle AOB=90\degree and  BOC=120°\angle BOC=120\degree , then ABC=\angle ABC=    

a)

60°60\degree  

b)

75°75\degree  

c)

90°90\degree  

d)

135°135\degree  

17.

In Fig., O is the centre of the circle such that  AOC=130°\angle AOC=130\degree , then  ABC=\angle ABC=  

a)

130°130\degree  

b)

115°115\degree  

c)

65°65\degree  

d)

165°165\degree  

18.

In Fig., if chords AB and CD of the circle intersect each other at right angles, then x + y =

a)


45°45\degree

b)

60°60\degree

c)

75°75\degree

d)

90°90\degree

19.

The sides of a triangle are 11 cm, 15 cm and 16 cm. The altitude to the largest side is

a)


307cm30\sqrt{7}cm

b)

1572cm\frac{15\sqrt{7}}{2}cm

c)

1574cm\frac{15\sqrt{7}}{4}cm

d)

30 cm

20.

x = 0 is the equation of

a)

x-axis

b)

y-axis

c)

a line parallel to x-axis

d)

a line parallel to y-axis

21.

The point of the form (a,a), where a \ne  0, lies on  

a)

x-axis

b)

y-axis

c)

the line y = x 

d)

the line x + y = 0

22.

If a + b + c = 9 and ab+bc +ca = 23, then

a2+b2+c2a^2+b^2+c^2  

a)

35

b)

58

c)

127

d)

none of these 

23.

if

49a2  b = (7a + 12)(7a  12)49a^{2\ }-\ b\ =\ \left(7a\ +\ \frac{1}{2}\right)\left(7a\ -\ \frac{1}{2}\right)  , then value of b is 

a)

0

b)

14\frac{1}{4}  

c)

12\frac{1}{\sqrt{2}}  

d)

12\frac{1}{2}   

24.

The coefficient of the highest power of xx in the polynomial 2x34x4+5x2x5+32x^3-4x^4+5x^2-x^5+3 is

a)

2

b)

-4

c)

3

d)

-1

25.

When p(x)=x4+2x33x2+x1p\left(x\right)=x^4+2x^3-3x^2+x-1 is divided by (x2),\left(x-2\right), the remainder is

a)

0

b)

-1

c)

-15

d)

21