QUESTIONS OF MATHEMATICS

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A. Multiple Choice
Put a cross (x) on either A, B, C, or D for the right answer.
1. Look at the circle O below, AB is …..
a.
b.
c.
d.
B
A
C
O
Diameter
Radius
Chord
arc
D
2. The shaded region in circle P is …
B
C
A
P
a.
b.
c.
d.
Sector
Segment
Chord
arc
3. The area of a circle which has a diameter 30 cm is ….
a. 106 cm2
c. 500.5 cm2
b. 304.5 cm2
d. 706.5 cm2
4. The circumference of a tire of a bicycle is 198 cm. If  = 22 , the radius of the tire of the
7
bicycle is ....
a. 31.5 cm
b. 45 cm
c. 63 cm
d. 90 cm
5. The circumference of motorcycle wheel is 176 cm. How far is the wheel exactly rolling if
the fact it is rotating 1.000 times ?
a. 0.176 km
c. 17.6 km
b. 1.76 km
d. 176 km
6. Two concentric circles have radius of 8 cm and 10 cm respectively. The area between the
two circles is ….
a. 36π cm2
c. 40π cm2
b. 38π cm2
d. 42π cm2
7. The points P and Q are on the circle .The length arc of PQ = 9,42 cm, if the
circumference of the circle is 31,4 cm and  = 3,14 , the measure of  POQ is ..... ....
a. 600
b. 900
8.
c. 1080
d. 1200
Look at the figure on the left, AOB  120 0 and
COD  30 0 , the of AB arc = 44 cm then the length arc
of CD is .......
a. 4 cm
c.11 cm
b. 8 cm
d. 22 cm
1
9. In the figure bellow, AOB  108 0 if the radius OA = 21 cm and  
22
7
,the area of sector AOB is ..........
a. 41,8 cm2
c. 1386 cm2
b. 970,2 cm2
d. 1570 cm2
10.
In the figure on the left,AB is diameter and ACD  27 0 .The
measure of BOD is ....
a. 540
c. 1260
b.810
d. 1530
11.
In the figure on the left, BAO  40 0 and CBO  15 0 The
measure of BAC is ....
a. 550
c. 1000
b. 750
d. 1050
12.
In the figure on the left , ABC  4x 0 and AOC  7x 0 the
value of x is ......
a. 150
c. 200
b. 180
d. 240
In the figure on the left, AOD  150 0 and BOC  70 0 ,the
measure of AEB is ..........
a. 350
c. 750
b. 700
d. 1100
13.
14. In the figure on the right, ABCD is cyclic quadrilateral. A : B  6 : 7 and
CBE  112 0 the the measure of A and B respective ly are ......
a.
b.
c.
d.
15.
960 and 840
840 and 960
680 and 1120
1120 and 680
In the figure on the left , AED  69 0 and AFD  37 0 then
ACD and BAC respective ly are ......
a.530 and 160
b. 160 and 530
2
c.690 and 370
d. 370 and 690
16. In the figure on the right, known that AB is the tangent of the circle. the length of
OA=10 cm and the radius OB is 6 cm.The length of AB is...
a.
136 cm
b. 8 cm
c. 6 cm
d. 4 cm
17. The base and the height of a right triangle are 5 cm and 12 cm respectively. The exact
radius of the circum-circle of the triangle is ........
a. 2 cm
b. 4 cm
c. 7 cm
d. 13 cm
18. The sides lenghts of a right triangle are 24 cm, 45 cm and 51 cm respectively. The exact
radius of the incircle of the triangle is ........
a. 28 cm
b. 27 cm
c. 26,5 cm
d. 25,5 cm
19. The triangle ABC has right angle at point A and the incircle of the triangle has a centre at
point M. If AB = 8 cm, AC = 6 cm. The area of incircle is ............ cm2.
a. 5π
b. 4π
c. 3π
d. 2π
20. Look at the figure bellow! The perimeter of shaded area is… .
a. 31,4 cm
10 cm
b. 62,8 cm
c. 314 cm
d. 628 cm
21.The distance between the centers of two circle is 13 cm,and the radius of the first circle is
2 cm.The length of the external tangent line is 12 cm.The radius of the second circle is ….
a. 3 cm
c.5 cm
b. 4 cm
d.7 cm
22.
B
D
A
C
Point A and B are centers of two circle with radii r1 and r2 respectively in which r1 > r2 if the
length of internal common tangent CD = 24 cm and the distance of two centers AB = 26 cm
and r2 = 4 cm.then the ratio of the area of circle A and the area of circle B is ….
a. 2 : 3
c. 4 : 9
b. 3 : 2
d. 9 : 4
3
23. A solid has properties as follows: It has 6 sides, 8 vertices and 12 edges are
equal in lenght. What is the name of the figure?
a. Cuboid
b. Triangular Prism
c. Triangular Pyramid
d Cube
24. Consider the cube KLMN.OPQR on the right.
Diagonal plane KMQO perpendicular to plane …....
a. KLQR
c. OPMN
b. LNRP
d. KPQN
Q
R
O
P
N
K
25. Suppose the figure of cuboid KLMN.PQRS and the table below.
R
S
P
8Qcm
N
M
5 cm
K
12 cm
L
Area of diagonal plane KMRP is .............
a. 120 cm 2
b. 104 cm 2
c. 96 cm 2
d. 60 cm 2
26. From sequences of six squares below, find the net of cube ..….
27.
(i)
( iii )
( ii )
(iv)
a. (i), (ii) and (iii)
b. (ii), (iii) and (iv)
c. (i), (ii) and (iv)
d. (i), (ii), (iii) and (iv)
Look at the figure bellow. If the shaded area is left face, then
the right face of the cube is number……
5
a. 4
c. 2
b. 3
d. 1
1
2
3
4
2
4
M
L
28. Below are net of cuboids, except ....................
a.
c.
b.
d.
b.
d.
29.Given surface area of cube is 294 cm2, volume of cube is .........
a. 343 cm3
b. 323 cm3
c. 283 cm3
d. 263 cm3
30. Cuboid has length and width 12 cm and 9 cm, if volume of the cuboid is 864 cm3 . Lenght of
space diagonal of cuboid is ...........
a. 25 cm
b. 17 cm
c. 15 cm
d. 13 cm
31. If a prism and pyramid have congruen base and the same height, then the ratio of the
volume of the prism to the volum pyramid is ......
a. 3 : 1
b. 4 : 1
c. 2 : 1
d. 3 : 2
base
top
32. The figure beside is a sketch of a tent to hold refugees of form a prism. If the tent can hold 10
refugees to sleep where eah refugee need 2 m2 and height of tent is 3,5 m, what is the volume
of space inside the tent?
a. 140 cm2
b. 70 cm2
c. 35 cm2
d. 20 cm2
32. Given an equilateral triangle based prism, if height of prism 10 cm and the side of the base is 6
cm. then volume of the prism is …..
a. 90√3 cm3
b. 80√3 cm3
c. 70√3 cm3
d. 60√3 cm3
34. The number of space diagonal of eight side prism is ….
a. 32
b. 40
c. 48
d. 56
5
35. Look at the figure bellow, a piece of wood in the shape of a prism. Surface area of the
wood is ..............
a.
b.
c.
d.
240 cm2
288 cm2
304 cm2
480 cm2
36. Look at the figure bellow. The base of the pyramid is a square KLMN with sides of
length 8 cm. X is the midpoint of KL and VX = 10 cm.
If KV = LV = MV = NV, then the surface area of the pyramid is........
a.
b.
c.
d.
160 cm2
184 cm2
224 cm2
244 cm2
37. Look at the figure bellow. Find the total surface area of the box is .....
a.
b.
c.
d.
25 cm2
50 cm2
100 cm2
125 cm2
38. Look at the figure bellow. The surface area, in cm2, of the prism is …
a.
b.
c.
d.
230
300
310
360
39. Ratio of lenght, width and altitude of cuboid is 4 : 3 : 2. If the base area of cuboid is 108 cm2,
find the volume of cuboid ......
a. 864 cm3
b. 648 cm3
c. 684 cm3
d. 468 cm3
40. Volume of this figure is.......… .
a. 3120 cm³
b. 3600 cm³
c. 4200 cm³
d. 9600 cm³
6 cm
24 cm
26 cm
6 cm
20 cm
6
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