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Summative Assessment – II (2014-2015)
Class VII
Subject – Mathematics
𝟏
Time: 2 hours
Maximum Marks: 60
𝟐
Instructions: (i) All questions are compulsory.
(ii) Question paper consists of four sections i.e. A, B, C and D having total
number of questions 26.
Section A
Question numbers 1 to 8 are multiple choice question of 1 marks each. Select the
correct choice.
1. The product of a rational number with its reciprocal is always
(a) -1
(b) 1
(c) 2
(d) 0
2. ∆ABC and ∆PQR are congruent if they have same shape and same
(a) area
(b) perimeter
(c) size
(d) angles
(c) 5
(d) 4
(c) 200
(d) 400
(c) 3%
(d) 4%
3. The number of congruence criteria is
(a) 2
(b) 3
4. The value of 20% of 200 is
(a) 40
5.
𝟑
𝟒
(b) 20
when expressed as a percent is
(a) 7.5%
(b) 75%
6. Simplest form of the ratio between rupees 2 and 150 paise is
(a) 2:150
7. Standard form of
(a)
−𝟏
𝟓
(b) 4:3
−𝟑
−𝟏𝟓
(c) 1:75
(d) None of these
is
(b)
𝟑
𝟏𝟓
(c)
1
𝟏
𝟓
(d) None of these
8. In a circle the ratio between circumference and diameter is approximately
(a) 22:1
(b) 7:22
(c) 22:7
(d) None of these
Section B
Question numbers 9 to 14 carry 2 marks each.
9. List of two rational numbers between -2 and -1
10.Find the sum:
𝟓
𝟑
+
𝟑
𝟓
11.What cross sections do you get when you give a
(i) vertical cut
(ii) horizontal cut
to a circular pipe?
12. Meeta saves Rs. 400 from her salary. If this is 10% of her salary. What is her
salary?
13.Find the area of a square park whose perimeter is 320m.
14.Draw a triangle which has exactly one line of symmetry.
Section C
Question numbers 15 to 22 carry 3 marks each.
15. Explain, why ∆ABC =∆FED?
D
F
A
B
C
F
E
F
F
F
16.A local cricket team played 20 matches in one season. It won 25% of them. How
many matches did they lose?
17.Simplify combining like terms:
(3𝒚𝟐 +5 𝒚 -4) - (8𝒚𝟐 - 𝒚 -4)
18.Simplify the expression and find its value when a=5 and b=-3.
2
2(𝒂𝟐 + 𝒂𝒃) + 3 - 𝒂𝒃
3
19.Draw a net which can be used to make a cube.
Insert suitable numbers in the blanks, such that the numbers on the opposite
D
F
faces should total to 7.
20. In figure AD=CD and AB= CB
(i)
State three pairs of equal parts in ∆ ABD and ∆CBD
(ii)
Is ∆ABD =∆CBD ? Why ?
(iii)
Does BD bisect ABC ? Give reasons
A
F
C
F
B
F
21.A path 5m wide runs inside around a square park of side 100 m. Find theFarea of
F
the path.
22.How many lines of symmetry does an equilateral triangle have?
Draw a figure which has exactly four lines of symmetry.
Section D
Question numbers 23 to 26 carry 4 marks each.
23. Find the interest on a sum of Rs. 1200 at 12% p.a. at the end of 3 years. also find
the amount.
24.From the sum of 3x-y+11 and –y-11, subtract 3x-y-11.
25. Get the algebraic expressions in the following cases using variables, constants
and arithmetic operations.
(a) Subtraction of Z from Y
(b) One – half the sum of numbers X and Y
(c) The number Z multiplied by itself.
(d) One fourth of the product of numbers p and q.
26.From a circular sheet of radius 4cm, a circle of radius 3cm is removed. Find the
area of the remaining sheet (Take Π (pie) = 3.14)
4
Marking Scheme
SA-II: Class VII: Mathematics
1. (b)
1
2. (c)
1
3. (d)
1
4. (a)
1
5. (b)
1
6. (b)
1
7. (c)
1
8. (c)
1
9.
10.
−𝟏𝟗 −𝟏𝟖
,
𝟏𝟎
1+1
𝟏𝟎
𝟐𝟓+𝟏𝟗
1
𝟏𝟓
=
𝟑𝟒
1
𝟏𝟓
11. (i) Circle
1
(ii) Rectangle
1
12.10 % of salary = Rs. 400
1
Salary = Rs 4000
1
13. Side = 80m
1
Area = 6400 m2
1
14. Correct Figure
2
15.
2
A = F, B = E, BC=ED
∆ABC =∆FED (by AAS)
16.Matches won =
𝟐𝟓
𝟏𝟎𝟎
1
𝒙 𝟐𝟎
1
=5
1
Matches Lost = 15.
1
17.𝟑𝒚𝟐 + 𝟓𝒚 − 𝟒 − 𝟖𝒚𝟐 + 𝒚 + 𝟒
1
=−𝟓𝒚𝟐 + 𝟔𝒚
2
5
18.𝟐𝒂𝟐 + 𝒂𝒃 + 𝟑
𝟏
Value = 38
𝟏
19.Correct net of cube
𝟏
𝟐
𝟏
𝟐
2
Correct inserting the numbers
1
20. For correct answers of three parts
1+1+1
21. Correct Area of Bigger Square
1
Correct Area of Smaller square
1
Correct area of path
1
22.Three
1
Correct figure
23.I=
2
𝒑𝐱𝒓𝐱𝒕
1
𝟏𝟎𝟎
= Rs. 432
2
A= Rs. 1632
1
24.Sum = 3x-2y
2
Subtraction = -y+11
2
25. For Correct answers of four parts
1+1+1+1
a. Y – z
b.
𝒙+𝒚
𝟐
c. Z2
d.
𝒑𝒒
𝟒
𝟏
26.Sheet 𝒂𝒓𝒆𝒂 = 𝝅𝒓𝟐
𝟐
= 50.24 Sq.Cm
1
𝟏
Removed Circle 𝒂𝒓𝒆𝒂 = 𝝅𝒓𝟐
𝟐
= 28.26 Sq.Cm
1
Remaining Sheet = 21.98 Sq.Cm
1
6
7