WorksheetsASSET MOCK TEST-GRADE IX
Total questions: 25
Worksheet time: 34mins
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
40 degrees
65 degrees
115 degrees
140 degrees
120 degrees
110 degrees
130 degrees
100 degrees
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:
30 degrees
90 degrees
40 degrees
120 degrees
20 degrees
60 degrees
30 degrees
60 degrees
In triangle ABC, the bisectors of angle ABC and angle BCA intersect each other at O. The measure of angle BOC is
90- A
90 + A/2
90 +A
90 - A/2
If angle A + angle B+ angle C+ angle C+ angle D + angle E+ angle F = k right angles, then find the value of k.
5
2
3
4
Find the value of x shown in the figure.
80 degrees
100 degrees
110 degrees
70 degrees
In the figure, PS ⊥ l l RQ ⊥ l, the degree measure of y is:
135 degrees
80 degrees
90 degrees
55 degrees
In the given figure, if angle AOB is a straight line, then angle BOC is:
20 degrees
70 degrees
60 degrees
80 degrees
In figure, if AE ⊥ DC and AB = AC, find the value of angle ABD.
120 degrees
70 degrees
130 degrees
110 degrees
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
7 cm
5 cm
8 cm
6 cm
In figure, AB ⊥ BE and EF ⊥ BE. If BC = DE and AB = EF, then triangle ABD is congruent to
DEF
FEC
EFC
ECF
In triangles ABC and PQR, AB = AC, ∠ C = ∠ P and ∠ B = ∠ Q. The two triangles are:
Neither congruent nor isosceles
congruent but not isosceles
Isosceles and congruent
Isosceles but not congruent
In the given figure, Δ ABC ≅ Δ FDE and AB = 5 cm, ∠ B = 40 ° , ∠ A = 80 ° . Then which of the following is true?
DF = 5cm, angle F = 60 degrees
DF = 5 cm , angle E = 60 degrees
DE = 5 cm, angle E = 60 degrees
DE = 5 cm, angle D = 40 degrees
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
156 degrees
104 degrees
76 degrees
52 degrees
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?
1: (π−1)
1: (4π−1)
1: π
1:1
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.
21 sq. cm
28 sq cm
49 sq. cm
56 sq. cm
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.
only (i)
only (ii)
only (i) and (ii)
only (ii) and (iii)
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?
51 sq. cm
72 sq.cm
102 sq. cm
126 sq. cm
1. A triangle KLM is cut out from a rectangular sheet as shown here. What will be the perimeter of triangle KLM?
15 cm
16 cm
20 cm
can not be calculated
In the given figure, PQR is an equilateral triangle and DEFG is a rectangle. What can we say about the measure of angle DXY?
It will always be 150 degrees
It will always be 135 degrees
It will always be 120 degrees
can't say without knowing the dimensions of rectangle DEFG
For a quadrilateral PQRS inscribed in a circle, with PQ || RS, which of the following is NOT necessarily true?
angle Q+ angle S = 180 degrees
angle P+ angle Q = 180 degrees
angle Q + angle R = 180 degrees
angle R = angle S
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?
12 cm2
10 sq. cm
9 sq.cm
6 sq.cm
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?
8 sq. cm
9 sq. cm
12 sq. cm
16 sq. cm
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?
Equilateral triangle
Isosceles triangle
scalene triangle
Any of these type is possible
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?
1/2
2/3
3/4
can't say -depends on the position of the smaller circle
