INTERNATIONAL INDIAN SCHOOL, ALJUBAIL
‫ الجبيل‬- ‫المدرسة العالمية الهندية‬
‫المنطقة الشرقية – المملكة العربية السعودية‬
Eastern Province – Kingdom of Saudi Arabia
SUMMATIVE ASSESSMENT- I OCTOBER 2015
SUBJECT:
CLASS:
MATHEMATICS
M/MARK:
VIII
90
TIME:
3 Hours
General Instructions:
1) This Question paper contains four sections.All questions in all the sections are compulsory.
2) Section-A Questions carry 1 mark each.
3) Section-B Questions carry 2 marks each.
4) Section-C Questions carry 3 marks each.
5) Section-D Questions carry 4 marks each.
SECTION-A
4X1=4 marks
1) Why rectangle is a convex quadrilateral?
2) Express 0.0000000945 in standard form.
3) Write the multiplicative inverse of
−3
7
X
−7
13
.
4) Find the value of the letter in the following:
+
3
1
A
1
A
3
_____________
5
0
1
SECTION –B
5) Find the value of (
−7
18
X
15
−7
)
_
1
1
4
2
(1 X ) + (
6X2=12 marks
1
X )
4
6) How many sides does a regular polygon have if each of its interior angle is 120° ?
7) Find the square of 33.64 by long division method.
8) Expand 1256.249 using exponents
9) Given that the number 67y19 is divisible by 9, where y is a digit. What are the
Possible values of y ?
1
10) Find the cube root of 17576 through estimation.
SECTION-C
10X3 = 30 marks
11) Construct the rhombus MORE, MO= 6cm and OE=8cm.
12) Draw the pie chart of the data given below
The time spent by child during a day
Sleep
School
Home work
Play
8 Hours
6 Hours
4 Hours
4 Hours
Others
2 Hours
13) Find a Pythagorean triplet in which one number is 12.
14) Find any six rational numbers between ¼ and ½.
15) Is 392 a perfect cube? If not, find the smallest natural number by which 392 must
be multiplied, so that the product is a perfect cube.
16) Find the measure of angles in the following figure. Find x + y + z + w
17) Simplify by using laws of exponent.
a) (5 -2)3
b) (
−3 2
)
5
−3
−3
X ( 5 ) 7 X ( 5 )-2
c) ((3)-1 + (4)-1 + (5)-1) °
18) Find the length of the side of square whose area is 484 m2.
2
19) A bag contains 5 red balls, 8 white balls, 4 green balls and 7 black balls. If one ball
Is drawn at random. Find the probability that it is a) black
b) red
c) not green
20) Find the values of x, y and z.
SECTION-D
11X4= 44 marks
21) Find the cube root of 175616 by prime factorization method.
22) Draw a histogram of the following data.
Class Interval
Frequency
10-15
15-20
20-25
25-30
30-35
35-40
30
98
80
58
29
50
23) Construct a quadrilateral ABCD given AB = 5.6cm,BC=4.1cm,CD=4.4cm,AD=3.3cm,
and <A = 75°.Write the steps of construction.
24) 2116 plants are to be planted in a garden in such a way that each row contains
as many plants as the number of rows. Find the number of rows and the number
of plants in each row.
25) Numbers 1 to 10 are written on ten separate slips kept in a box and mixed well.
One slip is chosen from the box without looking into it. What is the probability of
a) Getting a number 6?
b) Getting a number less than 6?
3
c) Getting a number greater than 6?
d) Getting a one digit number?
26)
a) Find the smallest square number which is divisible by each of the numbers
6, 9 and 15
b) In a right triangle DEF, <E = 90°.If DE = 6cm, EF = 8cm.Find DF
27) In a stack, there are 5 books each of thickness 20mm and 5 paper sheets each of
thickness 0.016mm. What is the total thickness of stack?
28) Find the value of
29)
5
3
a) (
)
12
c) (
5
7
)X( )
11
4
+(
8
b) (
)
9
10
2
)-(
d) ( ) ÷ (
3
−3
5
)
−7
)
12
a) How many diagonals does each of the following have?
i) A convex quadrilateral
ii)A regular hexagon
b) Find the x and y in the following.
30) Explain how a square is
31)
a) A quadrilateral
b) A parallelogram
c) A rhombus
d) A rectangle
a) Two adjacent angles of a parallelogram are in the ration of 5:4.Find all the
angle in the parallelogram.
b) Mention the sum of interior angles in a convex polygon of 7 sides.
4