Wednesday, 7 September 2016

Model SA-1 Maths Papers for Class- VIII



MODEL EXAM PAPER
SA-I (2015-2016)
Subject: Maths                                                                   Marks: (80+10 funtoot)=90
Class: VIII                                                                            Time: 3hrs
Answer all The following Questions:
Question 1 to 4 carries one mark each (Section A)
Question 5 to 11 carries two mark each (Section B)
Question 12 to 21 carries three mark each (Section c)
Question 22 to 29 carries four mark each (Section D)
Math Practical(Funtoot 10 marks)
Section A
1.     Evaluate √49 × 3
2.     Simplify the expression: 4x3-2x+5x2+7x-x3.
3.     Simplify
4.     The meteorologist says that there is no chance of rain today, what is the probability of raining?
Section B

5.     The mass of earth is found to be 5 973 600 000 000 000 000 000 000 kg. What will be its representation in scientific notation?
6.     Solve for x:
https://d14fikpiqfsi71.cloudfront.net/media/W1siZiIsIjIwMTQvMDQvMjEvMTkvNDcvMTUvOTMyLyJdXQ?sha=b4039bcb7a7d9786
7.     Find the value of x so that =
8.     Divide (x3 + 2x² + 3x) ÷ 2x
9.     Use a suitable identity to get the product of (1.1m – 0.4) (1.1m + 0.4)
10.     Find 4 rational numbers between 



11.  The maths quiz results of a class are shown below:How many students scored greater than or equal to 5?

https://d14fikpiqfsi71.cloudfront.net/media/W1siZiIsIjIwMTMvMDIvMTEvMjAvMzAvNDcvMzExLzYucG5nIl0sWyJwIiwidGh1bWIiLCI2MDB4XHUwMDNlIix7fV1d.png?sha=1793cecda6d23361

Section C
12.   Factorize p² – 10 p + 25
13.  Verify that   for
14.  Divide by
15.  Find the area of the rectangle whose length is  and breadth is (
16.  Solve
17.   If a spinning wheel with 3 green sectors, 1 blue sector and 1 red sector.
a.     What is the probability of getting a green sector?
b.     What is the probability of getting a non-blue sector?
c.      What is the probability of getting a non-green sector?
18.  Draw a histogram to represent the following data?
Class Interval
10-20
20-30
30-40
40-50
50-60
Frequency
3
5
10
8
2
19.  If a+b=7 and ab=4 the find the value of .
20.  Evaluate
a.                             b.
21.  Perimeter of a rectangle is If the length is ,find its breadth.


Section D
22.Factorize the expression and divide it as directed:
.

22.          If find the value of

24. A group of 360 people were asked to vote for their favourite season from the three seasons rainy, winter and summer.
Season
No. of votes
Summer
120
Rainy
90
Winter
150
 Draw a pie chart to represent this data, also answer the following.
a.Find the central angle of each sector.
b.     Which season got least number of votes?

25.  A, B, C, D and E went to a restaurant for dinner. A paid  of the bill, B paid of the bill and the rest of the bill was shared equally by C, D and E. Find what part of the bill is paid by each.

26. Find the following:
a.  (using division method)
b.  (using estimation method)

27. Factorize the following using identities
a.
b.

28. The students of class VIII of a school donated ₹ 2304 in all, for Prime Minister’s National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class. What values are being promoted?

29. Simplify:
a. (Using Algebraic identities)
b. (Using exponential laws)

Model SA- 1 Maths Paper for Class- VI


MODEL EXAM PAPER
SUMMATIVE ASSESSMENT -1
CLASS-VI                                                                                             MARKS- 50 + 10 Funtoot
   SUB -MATHS                                                                                        TIME-    2 Hrs
GENERAL INSTRUCTIONS-
       All Questions are compulsory.
  •    Q.No.1 to 6 carries 1 mark.
  •   Q.No.7 to 11 carries 2 marks. 
  •  Q.No.12 to 17 carries 3 marks.    
  •  Q.No.18 to 21 carries 4 marks. 
  •   10 marks for Funtoot Practical Test

1.       The number of factors of 28 is
(a)    4             (b)   6          (c)  7          (d)   8                     
2.       A quadrilateral is a polygon with
(a)  6 sides      (b)   5 sides      (c)   4 sides       (d) 3 sides             
3.       A  perpendicular  bisector of a line makes an angle of ______ with the line
         (a)  500            (b)  600            (c)  900            (d)  1800                                                                                                                                                                                                                                                                                                     
4.  If a point P lies in the exterior of a circle with centre O of radius 3cm , then
(a)    OP = 3cm       (b) OP < 3cm        (c) OP ≥ 3cm         (d)  OP > 3cm

         5.  Replace * in 98654*5 which is divisible by 11.
                         (a)  3              (b)  1                   (c) 0                  (d)  2
       6. The mathematical statement for
                   “Sum of two and five divided by three times the difference of ten and nine “.
(a)    (2 + 5) ÷ (10-9 X3)                (b) (2 + 5 ÷ 3 X 10 – 9)                                                                                                (c)   2 + 5 ÷ 3 X 10 – 9      (d)   (2+5) ÷ 3 X (10 – 9) 
7.       The H.C.F and L.C.M of two numbers is 6 and 80 respectively. If one of the numbers is 30.Find the other number.
8.       Draw an altitude of a triangle. How many altitudes can be drawn in a triangle?
9.       By using suitable properties of multiplication, find :
(i)                  I256 X 95
(ii)                320 X 275 – 32 X 10 X 175
10.   How many degrees are there in
(i)                   Five  right angles
(ii)                Two and a half  right angles
11.    The result obtained in 20 throws of a die are 5,4,3,2,1,1,2,5,4,6,6,3,2,1,4,3,2,1,5,2 . Prepare a frequency distribution table.
12.    Explain with figures the following quadrilaterals :
(i)                  Parallelogram
(ii)                Rhombus
(iii)               Trapezium

13.   From  the given figure, name                                
(i)                  Pairs of parallel lines                    
(ii)                Collinear  points
(iii)               Pairs of intersecting  lines

14.   Three rods are 45 cm , 50cm and 75 cm in length. What is the least length of a rope that can be measured by the full lengths of each of three rods?

15.   Find the prime factorization of the following numbers:
(i)                  2730
(ii)                7325

16.   There are 527 apples, 646 pears and 748 oranges. These are to be arranged in heaps with same number of fruits. Find the greatest number of fruits possible in each heaps. How many heaps are formed?  
                                        
17.   (i) Draw two concentric circles with radii 4cm and 4.5cm.
(ii)Draw two perpendicular diameters AC and BD of the circle with radius 4cm.Join AB,BC, CD,and DA .What is the figure ABCD ?
    
18.    (i) Classify the triangles according to angles with well labeled figures.
(ii)Draw median of a triangle. How many medians can be drawn in a triangle?

19.   From the given figure, identify:
(i)                  Three radii
(ii)                a longest chord
(iii)               a chord        
(iv)              a segment                                                        
(v)                a sector                                                                     
                           


(OR)
From the given figure, identify:                                                                     A    
(i)                  Three triangles.
(ii)                Seven angles.
(iii)               Six lines segments.
(iv)              Two angles have <A as common.
(v)                Three vertices.                                     B                                       D                  C


20.   The following table shows the favourite  sports of 250 students of a school.
Sports
cricket
football
tennis
badminton
Swimming
No. of students
90
20
60
15
65

Represent the data by a bar graph.


                
_______________________X__________________________