IMPORTANT QUESTIONS FOR SEE Subject: Comp. Mathematics
Time: 3 Hours
Attempt all the questions. Group: 'A'
[6 1=6]
1.
Write the formula for finding the VAT percent when selling price and amount of VAT is given.
2.
What is the area of triangle having the sides a, b and c units.
3.
If √𝑎7 = a what is the value of x?
4.
Parallelogram ABCD and triangle EDC are on the same base DC and between the parallels AB and DC. Write the relation between their area. E B A
𝑥
C
D 5.
One angle of cyclic quadrilateral is 580, what is the measure of its opposite angle.
6.
Find the median from the given graph
Group: 'B'
[17 2=34]
7.
The marked price of a laptop is Rs. 55,000. Find the selling price with 13% VAT.
8.
In how many years will the population of a town be 209475 from 190000 at the growth rate of 5% per annum?
9.
Find the lateral surface area of given triangular prism.
O
30cm
12cm
5cm
10.
If the total surface area of a sphere is 22176 sq.cm. Find the diameter the sphere.
11.
Find the total surface area of given cone having vertical height 10cm and diameter of base is 16cm.
12.
Find the HCF of: x2 - 9 and 3x+9
13.
Simplify:
14.
Evaluate:
15.
Simplify:
16.
The sum of two number is 17 and their product is 60, find the numbers.
17.
In the adjoining figure, ABCD is a parallelogram. If M is midpoint of DC and area of AMC=30cm2. Find the area of Parallelogram ABCD.
33𝑥+2 −33𝑥+1 6×27𝑥
𝑎 𝑎 2 −9
4
3
√16𝑥 8 𝑦12 × √27𝑥 6 𝑦 −9 3
+ 9−𝑎2
B
A
D
18.
O is the center of circle and RPQ=300, find the value of x (PSR).
C
M
S
R x
300
P
Q O
19.
In the given figure, ABE is a tangent where B is the point of contact. If AB=BC and DBC=300, find the value of y (DBA).
C
D
300 y A
20.
B
E
Area of parallelogram PQRS is 14cm2. If QR = 7cm, QP = 4cm, find PQR. R
S
7cm Q
21. 22. 23.
24.
25.
4cm
P
The mean of 5 number is 27. If one number is excluded from the sample, the new mean becomes 25. Find the excluded number. What is the probability of getting a King or Jack from a well shuffled pack of 52 cards? Draw a tree diagram to show all the probabilities while drawing two balls in succession without replacement from a bag containing 1 white, 1 red and 1 blue ball of same shape and size. Group: 'B' [10 4=40] In a test of two subjects Mathematics and English, 75% passed in English, 55% passed in Mathematics and 5% could not pass in any of the subjects. If 21 students passed in both the subjects, how many students could not pass in any of the subjects? Also show the above information in Venn diagram. The price of a smart watch was Rs.6328 after allowing 20% discount on the marked price and then 13% VAT. What was the discount amount?
26.
27. 28. 29. 30. 31. 32. 33.
An umbrella is made by stitching 8 triangular pieces of two different colors, each piece measuring 62cm, 62cm and 12cm. How much cloth is required for the umbrella? If the cost of 1 cm2 cloth is Rs1.5. What is the total cost of cloth requited for the umbrella? Find the LCM of: 8𝑥 3 + 𝑦 3 , 8𝑥 3 − 𝑦 3 and 16𝑥 4 +4𝑥 2 𝑦 2+𝑦 4 A certain number of two digits is 7 times the sum of their digits. If 36 is subtracted from the number, the digits in the number are reversed. Find the number. Prove that triangles ABC and PBC standing on the same base and between the same parallels are equal in area. Construct a quadrilateral ABCD in which AB=BC=5cm, CD=AD=6cm and BAD=600. Construct ADF whose area is equal to the area of quadrilateral ABCD. Verify experimentally that inscribed angle of circle is half of central angle standing on same arc. [Two circles of radii more than 3cm necessary] From the top of a tower 40m high, the angle of depression to the roof of a house is found to be 300. If the distance between the foot of tower and house is 35m, find the height of the house. Find the third quartile from the data given below: Marks 0-10 10-20 20-30 30-40 40-50 50-60 No. of students
34.
35.
5
3
4
7
5
6
Group: 'B' [4 5=20] According to the system of compound interest, a sum of money amounts in 2 years and 3 years to Rs.12,100 and Rs.13,310 respectively; find the sum and rate of interest. In the given figure, the total surface area of square based pyramid is 96cm2 and side of square base is 6cm. Find the volume of the pyramid. E
D
A 1 1+𝑎
2
4
8
C
B
6cm
16
+ 1+𝑎2 + 1+𝑎4 + 1+𝑎8 - 1−𝑎16
36.
Simplify:
37.
In the given figure, O is the center of circle and BF=FE. Prove that: OAF=OBF. A B
D
C
o F E
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