EXPECTED SAMPLE QUES TIONS FOR MATHEMATIC S

EXPECTED SAMPLE QUES TIONS FOR MATHEMATIC S

EXPECTED SAMPLE QUES TIONS FOR MATHEMATIC S
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In a village a farmer has a field in the shape of a parallelogram while his friend has it in the shape of a triangle. Both the fields have the same size of base equal to 96
m and height 85 m. Both grew wheat in their farms. The one having a triangular field distributed one- fourth of his produce to the poor people in the village.
Questions:
a.
Explain with figure the fields of the farmers.
b.
Who has more area and by how much?
c.
What value of the farmer with the triangular field is shown here?
A cuboid has total surface area of 40 m2 and lateral surface area 26 m2. Find the area of its base. Also find its volume if its height is .7 cm.
A powder tin has square base with side 8 cm and height 13. Another powder tin is cylinder with radius 7 cm and height 15 cm. Which of the two contains more
powder? Also find the difference of their capacities.
Find mean, mode and median for the following data:
10,15,18,10,10,20,10,20,15,21,15 and 25.
In a circle of radius 5 cm, AB and AC are two chords such that AB=AC=6 cm. Find the length of the chord BC.
In the given figure, two circles intersect each other at A and B. The centre of the smaller circle is O and lies on the larger circle. If PAC and PBD are straight lines and
∠APB= 700, find ∠AOB, ∠ACB and ∠ADB.
C
A
P
700 O
.
.
B
D
7.
ABCD is a parallelogram and AP and CQ are perpendiculars from vertices. A and C on diagonal BD as shown in figure. Show that:
D
C
P
Q
A
8.
9.
10.
11.
Life time (in hours)
Number of lamps
12.
13.
B
i)
∆APB ≅ ∆CQD
ii) AP = CQ
Draw a ∆ABC with base BC=7 and angles in the ratio 3:4:5. Draw the bisectors of its angles.
Draw the graph of linear equations y=x and y=-x on the same graph. Find the point of intersection of the two lines.
Draw the graph of each of the equation x-2y-3=0 and 4x+3y-1=0 on the same graph. Write the co-ordinates of the point of intersection of these lines.
The following table gives life time of 100 neon lamps. Draw an histogram to represent the information:
300-400
12
10
7
Fi
15.
16.
17.
18.
19.
600-700
25
700-800
30
800-900
10
30
8
50
10
70
15
90
10
A dome of a building is in the form of a hemisphere. If it is white washed from inside at Rs/ 5/m 2, total cost of white washing is Rs. 385. Find the inner surface area of
the dome and volume of air inside the dome.
Construct a ∆ABC in which AB=BC=6 cm and angle AB and BC is 700.
Find the area of figure formed by joining the midpoints of adjacent sides 12 cm and 16 cm of a rectangle.
Check whether (i) (--2,2) ii) (3,4) iii) (4,4) lies on the linear equation y=x.
Give the equations of two lines passing through (4, --2). How many more such lines are there?
In rolling a die 500 times the following results were obtained:
No.
No. of Times
20.
500-600
15
How many metres of cloth of 1.1 m width will be required to make a conical tent whose height is 12 m and base radius is 16 m ? Find also the cost of the cloth used
at the rate of Rs. 14 per metre.
Find mean of the following distribution:
Xi
14.
400-500
8
1
28
2
135
3
142
4
79
5
81
6
35
21.
A survey of 500 families was conducted to know their opinion about a particular detergent powder. If 375 families liked the detergent powder and the remaining
families disliked it, find the probability that a family chosen at random. i) likes the detergent powder ii) does not like it.
Find the median and mode of the data. 2,3,4,5,0,1,3,3,4,3
22.
Volume of a hemispherical toy is
23.
24.
Draw an angle of 400 and divide it into four equal parts.
Draw an angle of measure 1080 and bisect it.
539
6
𝑐𝑚 3, find its curved surface area.