Model SA-1 Maths Paper , Class- VII

MODEL EXAM PAPER

SUMMATIVE  ASSESSMENT-1

SUB: MATHS                                                                  MARKS: 50 +10 Funtoot =60

Class- VII                                                                                             Time- 2 Hrs.

  GENERAL INSTRUCTIONS:

Ø All Questions are compulsory.

Ø Q.No.1 to 6 carries 1 mark.

Ø Q.No.7 to 11 carries 2 marks.

Ø Q.No.12 to 17 carries 3 marks.

Ø Q.No.18 to 21 carries 4 marks.

     1. The integer which is equal to its additive inverse is

(a)  1                (b)  ─1                 (c) 0                  (d) any integers

2.   The standard form of 341600 is

               (a)  341.6  X 10³            (b) 34.16  X 10⁴              (c) 3.416  X 10⁵          (d)  0.3416  X 10⁴     

       3.    The value of │─485│   ─  │ ─263│ is

              (a)  748              (b)  ─748                      (c)  ─222                     (d) 222

4.    The value of: ( 7⁰  +  5⁰ )  X  ( 8⁰ ─ 9⁰ )

(a)  0                  (b)  1                       (c)  2                  (d)  4      

       5.    The probability of getting the  vowels from the word MORE is

 (a)   0                 (b)                           (c)                            (d)  

       6. The range for the data 42,28,32,41,33,54,27,23,34,37 is

(b) 23                 (b)  32                     (c)  24                (d)  42  

        7. Express the following in exponential  notation:

               (i)  -125                (ii)

       8. A city received   cm rainfall on Saturday and   cm on Sunday. How much     

                 rainfall did it  received in two days ?

 9.  Determine ‘x’ if the following are equivalent rational numbers:

                   (i)      =                                   (ii)   3^x  =  81

 10. The maximum temperature ( in ⁰ c) for the first ten days of July, 2014 in a certain city     

                 was 43, 44, 42, 41, 36, 43, 42, 40, 39, 40. Calculate the mean of the above data.

 11.  Simplify the following :

                    (i)    X      ÷                          (ii)      

12.  A coin is tossed 80 times and a tail occurs 43 times. Find the probability of getting

        (i) tail       and    (ii)  head .

 13.    If     =  (  )¹⁸  ÷  ( )¹²

              find the value of   ( )²        

14.  If a * b =  a  ─ ( b x a )  ─  b,  find:  5 *  (-4).

15 .  Find the value of   ‘ x ‘ in each of the following:

             (i)  (-8)^x  =   4096

             (ii)  7^x    =   343

16. Solve the following  equations :

(i)                    + 2 =  -  

               (ii)       =   

                                                     

17.  Evaluate the following expressions for a = -1 ,  b = 2 ,  c =  - 3  ,

              (i)   a²  - b² +  ac

              (ii)   ab – 2(b - c) + c²   

18.  If   P = 5x³  + 3x²   -  4x  +  1 ,        Q =  5x³  + 5x²   + 3x   -  8  and 

          R = 6x³  - 4x²   -  7x  +  3,   then find,    (P + Q )  -  C .

19.  (i) Find the mode of the following data:

       31, 35, 36, 33, 32, 35,36, 31, 34, 33, 36, 34, 32, 32, 36, 33

         (ii)Find the median of the first whole numbers.

20.  (i) Simplify:    3   - [ 4 + {2  - ( 2 of   1   ÷   1   + 1  )}]

        (ii) Express:  ( 0.8 X 3.9 )  ÷  1000  as a rational numbers.

21.   The performance of  Rohit of class VII in FA-1  and FA-2 is as given below.

         Draw a double bar gragh choosing appropriate scale and ansnwer the following :

        

SUBJECTS	HINDI	ENGLISH	MATHS	SCIENCE	SOCIAL
FA-1	35	38	25	41	30
FA-2	47	33	48	47	40

(I)                In which subjects, has the Rohit improved his performance the most ?

(II)             Has the performance gone down in any subjects ?

(III)           Find the ratio of his performance of  FA-1  and FA-2 in  social.

_______________________________XXX________________________

   

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:

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?

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)