Download Alok-Second Summative Assessment 2011-12-Class VIII

Alok Vidyashram
Gaushala, Kathmandu, Nepal
6. If
Class VIII (CBSE) Second Summative Assessment 2011-12
Subject: Compulsory Mathematics
Time: 2.5 Hours
Full Marks: 80
Pass Marks: 40
a) 50
(a) 90°
Group A [1 X 10 = 10]

(a) 50°
2
3
 1 
1. When simplified    is
 27 
(b) -9
9.
(c) -
1
9
(d)
1
9
(c) 9
(b) (5, 7, 9)
(c) (6, 9, 11)
(d) (8, 15, 17)
(b)
(c) 22°
(c) 40°
3
2
(b) rectangle
(d) 30°
(d) 100°
(c)
72
48
(d)
48
72
(d) 122°
(c) rhombus
(d) kite
Group B [(2+2) X 8 = 32]

(a) 180
(b) 18000
(c) 21600
(d) 216000
5. The three angles of a quadrilateral are 76°, 54° and 108°. What is the
measure of the fourth angle?
(b) 12°
(c) 60°
(b) 90°
27
128
(a) square
4. What is the cube of 60?
(a) 112°
(b) 45°
10. If a quadrilateral has all the angles equal but the adjacent sides are
unequal, then the quadrilateral is a
(d) 11
3. Which of the following is a Pythagorean triplet?
(a) (2, 3, 5)
(d) 25
9 3
÷ is equal to
16 8
(a)
1
1
2. If x  = 3, then x 2  2 =
x
x
(b) 7
(c) 10
8. In triangle ABC, if  A = 100°, AB = AC. What is the measure of
B ?
Choose and write the correct alternative in each of the following.
(a) 5
(b) 100
7. If all the three angles of a triangle are equal, then each one of them is
equal to
Answer all the questions.
(a) 9
x
z
= 5 and
= 2 then the value of z is
5
x
3
 64  2
11. a. Evaluate: (a)  
 25 
b. Find the square root of 6.6049 by division method.
12. a. Find the least number which must be subtracted from 7581 to
obtain a perfect square number.
1
1
b. If x 2  2 = 27, then find the value of x 
x
x
SA2-2011-12-8 CBSE-CM-Page 1 of 2
13. (a) Find the product of (a -2) (a2 + 2a + 4)
(b) Factorise: x2 + x - 56
1
1
14. (a) Solve for x: x + x = x – 7
4
6
(b) Two even numbers are in the ratio of 3:5 and their sum is 32. Find
the two numbers.
15. (a) Find the loss or gain percent if the cost price of an article is Rs
1550 and the selling price is Rs 1800.
(b) If a man earns Rs 5950 in a week on a daily wages basis, what is
his earning for a month of 30 days?
16. (a) In the adjoining figure, ABCD is a
parallelogram in which DAO = 35,
CAB =40 and COB = 75. Calculate
the angle CBD.
3
21. Calculate the difference between the simple interest and the
compound interest on Rs 6400 for 2 years and compounded annually
1
at 7 %.
2
22. 500 students in a hostel had enough food for 30 days. But after 6
days, some students left the hostel and then the food lasted for 32
more days. Find out how many students left the hostel after 6 days.
2 x  7 3 x  11 2x  8
=
5
5
2
3
24. Divide 10x4 + 17x3 – 62x2 + 30x – 3 by 2x2 +7x – 1
64 x 3 1000
25. The circumference of the base of a cylinder is 176 cm and its height
is 65cm. Find the volume of the cylinder and its lateral surface area.
26. Find the volume, lateral surface area and the total surface area of a
cuboid having dimensions of length 15 cm, breadth 12cm and height
10 cm.
(b) State any four properties of a parallelogram.
18. (a) The two adjacent sides of a rectangle are 5a2 - 3b2 and a2 + 2ab.
Find its perimeter.
(b) Without using actual multiplication, evaluate 8.62 – 1.42
20. The sum of the digits of a two-digit number is 12. If the new number
formed by reversing the digits is greater than the original number by
54, find the original number.
23. Solve for x:
(b)Two parallel sides of a trapezium
are of lengths 27cm and 19cm respectively and the distance between
them is 14cm. Find the area of the trapezium.
17. (a) Evaluate
19. What least number must 2352 be multiplied so that the product can be
a perfect square number? Also find the square root of the new number
so obtained.
27. In the adjacent figure, ABCD is a
rectangle. BM and DN are
perpendiculars drawn from vertices B
and D on diagonal AD.
Prove that BMC  DNA and BM = DN.
Note: 2 marks for Home work/Class work activities.
The End
Group C [4 X 9 = 36]
Good Luck
SA2-2011-12-8 CBSE-CM-Page 2 of 2