SAMPLE PAPER SA-2
STD -VII (MATHEMATICS)
(MARKS : 90)
General instructions:
All questions are compulsory.
The question paper consist of 4 sections i.e. A, B,C,& D
Section A : Contains12 multiple choice questions (1 mark each)
Section B : contains12 questions (2 marks each)
Section C: contains 10 questions (3 marks each)
Section D: contains6 questions( 4 marks each)
SECTION– A
(1
Choose the correct alternative:
1. Ram saves Rs. 2000 and spends 20% of his income. His income is _________.
(a) Rs. 500
(b) Rs. 2500
(c) Rs. 1500
(d) none of these.
2. _______ is not an example of rational number.
(a) 0.6
(b)
3. 10% of 365 days is ___________.
(a) 3.65 days
(b) 365 days
.
(c) 0
(d)
(c) 36.5 days
(d) none of these.
4. The side included between the angles M and N of MNP is ___________.
(a) MP
(b) MN
(c) NP
(d) none of these.
5. Perimeter of a square whose side is ___________.
(a)
2
(b) 4
(c)
(d) none of these.
6. If the radius of a circle is tripled then, the area becomes _____________.
(a) 9 times
7.The coefficient of
(a)
(b) 6 times
in
(b)
2
(c) 3 times
(d) none of these.
is ____________.
2
(c)
2
(d) none of these.
8. 3
is ________ expression.
(a) monomial
x
9. (3)
(a) 3
(b) binomial
(c) trinomial
(d) none of these.
y
(3) is equal to __________.
x-y
(b) 3
x+y
(c) 3
xy
(d) none of these.
10. The standard form for the number 53495.97 is ___________.
(a) 5349597
-2
4
(b) 5.349597
(c) 5.349597
-4
(d) none of these.
11. A cuboid has _________ edges.
(a) 6
(b) 8
(c) 12
(d) none of these.
12. The net of a cylinder without top and bottom is ________.
(a) triangular
(b) circle
(c) rectangle
(d) none of these.
SECTION – B
(2
)
13. 18. Find:
(i) 15 % of Rs. 600
14. Simplify:
15. What should be added to
to get
?
16. Construct a ABC in which BC= 4.5 cm, AB = 5.2 cm and AC = 6.5 cm.
17. Construct a ABC in which BC = 4.2 cm, C = 60 and AC = 5.5 cm.
18. If
, find the value of (i)
2
–
2
.
19.Identify the terms and their factors in the following expressions, show the terms and factors by tree
3
2
diagram:
14
20. Using laws of exponents, simplify and write the answer in exponential form: (4
411) 25.
21. Express 540 as product of powers of prime factors:
22. Find the area of parallelogram whose base is 40 m and corresponding altitude is 10 cm.
23. Find the radius and area of a circle whose circumference is 44m.
24. Draw net diagram for triangular pyramid.
SECTION-C
25) In a computer lab, there are 6 computers for every 12 students. How many computers will
be needed for 30 students?
26) List six rational numbers between ¹1 & ¹2.
27) Draw Δ PQR with PQ= 5cm, QR= 4cm and Q= 85 . What type of triangle is this?
28) The length and the breadth of a rectangular piece of land are 400m and 200m respectively. Find the
cost of the land, if 1m2 of the land costs Rs. 6000.
29) What should be added to a2+ab+b2 to obtain 2a2+3ab.
30) Simplify the given expression and express in exponential form .
31) Draw net diagrams for the following shapes:
(a) cone
(b) triangular prism
A
32) ΔABC is isosceles with AB=AC= 6.5cm and BC= 8cm.
The height AD from A to BC is 8cm.
Find the area of ΔABC. What will be the height from C to AB i.e. , CE?
E
B
C
D
33) Ram sells a smart phone for Rs. 12,500. He loses 30% in the bargain. What was the price at
which he bought it?
34) Find the value of;
( )
SECTION-D
34) If Raj gives an interest of Rs. 4500 for one year at 8% per annum. What is the sum he has
borrowed?
35) Construct a right-angled triangle whose hypotenuse is 7cm long and one of the legs is 5cm
long. [use compass to construct right angle]
36) From the sum of 6+2x and 4-3x+3x2, subtract the sum of 3x2-5x and –x2+2x+5.
37) Express each of the following as a product of their prime factors only in the exponential
form:
(a) 270
(b) 768
38) Simplify:
(a)
(-3)
(b) -2 + 4
39) Mr. Sai had a plot of dimensions 25m long and 18m wide. He donated the plot to one of the
NGO’s working for orphans. They in turn developed that plot into an orphanage. A path of 5m
wide is constructed all along and inside the orphanage area.
Find:
(a) The area of the path
(b) The cost of cementing the floor of the path at the rate of Rs. 200 per m2.
(c) What value is shown by Mr. Sai?
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