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ASSET MOCK TEST-GRADE IX

Total questions: 25

Worksheet time: 34mins

Name
Class
Date
1.

In triangle ABC, angle A = 50 degrees and the external bisectors of angle B and angle C meet at O as shown in the figure. The measure of angle BOC is

a)

40 degrees

b)

65 degrees

c)

115 degrees

d)

140 degrees

2.
a)

120 degrees

b)

110 degrees

c)

130 degrees

d)

100 degrees

3.

An exterior angle of a triangle is 80 degree and the interior opposite angles are in the ratio 1:3, measure of interior opposite angles are:

a)

30 degrees

90 degrees

b)

40 degrees

120 degrees

c)

20 degrees

60 degrees

d)

30 degrees

60 degrees

4.

In triangle ABC, the bisectors of angle ABC and angle BCA intersect each other at O. The measure of angle BOC is

a)

90- A

b)

90 + A/2

c)

90 +A

d)

90 - A/2

5.

If angle A + angle B+ angle C+ angle C+ angle D + angle E+ angle F = k right angles, then find the value of k.

a)

5

b)

2

c)

3

d)

4

6.

Find the value of x shown in the figure.

a)

80 degrees

b)

100 degrees

c)

110 degrees

d)

70 degrees

7.

In the figure, PS ⊥\perp l ll    RQ ⊥\perp l, the degree measure of y is:

a)

135 degrees

b)

80 degrees

c)

90 degrees

d)

55 degrees

8.

In the given figure, if angle AOB is a straight line, then angle BOC is:

a)

20 degrees

b)

70 degrees

c)

60 degrees

d)

80 degrees

9.

In figure, if AE ⊥\perp   DC and AB = AC, find the value of angle ABD.

a)

120 degrees

b)

70 degrees

c)

130 degrees

d)

110 degrees

10.

In figure X is a point in the interior of square ABCD, AXYZ is also a square. If DY = 3 cm and AZ = 2 cm, then find BY

a)

7 cm

b)

5 cm

c)

8 cm

d)

6 cm

11.

In figure, AB ⊥\perp  BE and EF ⊥\perp   BE. If BC = DE and AB = EF, then triangle ABD is congruent to

a)

DEF

b)

FEC

c)

EFC

d)

ECF

12.

In triangles ABC and PQR, AB = AC, ∠\angle  C = ∠\angle  P and ∠\angle  B = ∠\angle  Q. The two triangles are:

a)

Neither congruent nor isosceles

b)

congruent but not isosceles

c)

Isosceles and congruent

d)

Isosceles but not congruent

13.

In the given figure, Δ\Delta  ABC ≅\cong Δ\Delta FDE and AB = 5 cm, ∠\angle  B = 40 °\degree  , ∠\angle  A = 80 °\degree  . Then which of the following is true?

a)

DF = 5cm, angle F = 60 degrees

b)

DF = 5 cm , angle E = 60 degrees

c)

DE = 5 cm, angle E = 60 degrees

d)

DE = 5 cm, angle D = 40 degrees

14.

In the given figure, ABC is an isosceles triangle whose side AC is produce to E and through C, CD is drawn parallel to BA. Find the value of x

a)

156 degrees

b)

104 degrees

c)

76 degrees

d)

52 degrees

15.

In the given figure, PQS is a quarter circle. R is the midpoint of QS. What is the ratio of the area of triangle PQR to the area of the shaded region?

a)

1: (π−1)\left(\pi-1\right)  

b)

1: (4π−1)\left(4\pi-1\right)  

c)

1: π\pi  

d)

1:1

16.

Look at the figure. The centre of the circle is C. If the area of the circle is 154 sq. cm, what is the area of the shaded region.

a)

21 sq. cm

b)

28 sq cm

c)

49 sq. cm

d)

56 sq. cm

17.

One or more of these conditions are sufficient to conclude that quadrilateral is a rectangle. Which ones of the following:

i) one angle of the quadrilateral is 90 degrees

ii) the diagonals of the quadrilateral are equal.

iii) the diagonals of quadrilateral bisect each other.

a)

only (i)

b)

only (ii)

c)

only (i) and (ii)

d)

only (ii) and (iii)

18.

In the given figure, PQRU is a parallelogram and PRST is a trapezium. If the area of triangle PQR is 24 sq.cm., what is the area of the trapezium?

a)

51 sq. cm

b)

72 sq.cm

c)

102 sq. cm

d)

126 sq. cm

19.

1.       A triangle KLM is cut out from a rectangular sheet as shown here. What will be the perimeter of triangle KLM?

a)

15 cm

b)

16 cm

c)

20 cm

d)

can not be calculated

20.

In the given figure, PQR is an equilateral triangle and DEFG is a rectangle. What can we say about the measure of angle DXY?

a)

It will always be 150 degrees

b)

It will always be 135 degrees

c)

It will always be 120 degrees

d)

can't say without knowing the dimensions of rectangle DEFG

21.

For a quadrilateral PQRS inscribed in a circle, with PQ || RS, which of the following is NOT necessarily true?

a)

angle Q+ angle S = 180 degrees

b)

angle P+ angle Q = 180 degrees

c)

angle Q + angle R = 180 degrees

d)

angle R = angle S

22.

Solid X is made by putting together 4 cubes. If the total surface area of solid X is 36 cm2, what is the total surface area of each unit cube?

a)

12 cm2cm^2  

b)

10 sq. cm

c)

9 sq.cm

d)

6 sq.cm

23.

In the figure shown, M and N are the midpoints of sides AB and BC of parallelogram ABCD. If the area of parallelogram ABCD is 24 cm2, what is the area of trapezium AMNC?

a)

8 sq. cm

b)

9 sq. cm

c)

12 sq. cm

d)

16 sq. cm

24.

Raman has to make a triangle by placing exactly 10 identical matchsticks end to end without bending or breaking any. What type of triangle would he be able to form?

a)

Equilateral triangle

b)

Isosceles triangle

c)

scalene triangle

d)

Any of these type is possible

25.

Two circular sheets have diameters in the ratio 1:2. If the smaller circular sheet is put on top of the larger one as shown, what part of the larger circular sheet remains uncovered?

a)

1/2

b)

2/3

c)

3/4

d)

can't say -depends on the position of the smaller circle