THE DOON SCHOOL DEHRA DUN – 248001

ENTRANCE TEST – SPECIMEN PAPER

MATHEMATICS

CLASS – 7

­­­­­­­­­­­­­­­­­MAX. MARKS 100                                             TIME : ONE HOUR

NAME ……………………………………………………………………………

DATE OF BIRTH …………………………REGISTRATION NO. : …………………………

NAME OF CENTRE: ………………………………………………………………..

 

Note : This paper consists of two Sections, Section A and B.  Section A consists of objective questions and Section B subjective questions.

All questions are compulsory.

 

SECTION A

1.         30  :   6 + 10 – 2 x 5  =  ?

            (a) 5                (b) 6                (c) 7                (d) None of these

 

2.         9999 in expanded form is

            (a)  9000 + 900 + 99 + 9                 (b) 8000 + 1900 + 99 + 0   

            (c) 7000 + 2500 + 400 + 99                       (d) None of these

               

3..
 
           

(c)
 

(b)
 

(a)
 
                                                               (d) None of these

 

4.         2.5 :  0.5  x  0.1 – 0.05  =  ?

            (a) 49.95                    (b) 0.45          (c) 4.995        (d) None of these

 

5.         23 + 32 + 40 = ?

            (a) 17              (b) 21              (c) 18              (d) None of these

 

6.         26 – {27 – ( 20 – 2)} = ?

            (a) 17              (b) 18              (c)       19        (d) None of these

 

 

 

7.         The highest fraction amongst these following fractions i.e.

           

            (a)               (b)               (c)              (d) None of these

 

8.         12½ % of 368 = a  x 184 then a is

            (a) Ό               (b) 1/8              (c) 4                (d) 8

 

9.         If 18 litres of oil cost Rs. 648 then the number of litres of oil that can be bought for Rs. 1260 is

            (a) 35 litres    (b)  32 litres   (c) 34 litres    (d) None of these

 

10.      Rs. 25.20 as a percentage of Rs. 40.32 is

(a) 60%                      (b) 67½%                   (c) 70%                      (d) None of these

 

11.       If x = 2 and y = -1, then the value of 6 – x2    is

                                                                              2y

            (a) 0                            (b) – 1                         (c) 1                            (d) None of these

 

12.       The addition of 2x + 5y – 2z, 9y + 4x – z and 5z – 5x + 8y is

            (a) x + 22y + 2z         (b) 11x + 22y + 8z    (c) 0    (d) None of these

 

13.       The value of 'a' which makes BOA a straight line in the given figure is

            (a)  60o           (b) 50o                        (c) 48o                        (d) 38o

                                                           

         3a – 10      2a                                                   

                                             A                          O                             B

 

14.       In the given figure AB = AC.  If ΠABC = 55o then  ΠBAC is

 

            (a) 60o                        (b) 70o                            (c) 65o                        (d) 75o

                                                                 A   

                                   

                                                     B                    C

 

15.       In a right angled isosceles triangle the magnitude of its angles are

            (a) 60o, 60o, 60o        (b) 90o, 45o, 45o        (c) 50o, 60o, 70o        (d) None of these.

 

16.       An article is sold for Rs. 736 at a gain of 15%.  Its cost price is

            (a) Rs. 600                 (b) Rs. 640                 (c) Rs. 635                 (d) Rs. 645

 

SECTION B

Attempt all questions.

 

Q.1.     (a)       A sum of Rs. 3360 is deposited in a Bank which pays interest at the rate of 9%.  Find the amount after 3 years 9 months.

 

 

 

 

 

 

                                                           

(b)              The population of a village is 1250.  If 56% are women how many men are there in the village?

 

 

 

 

 

Q.2.     (a)  Divide Rs. 500 in the ratio 2 : 3 : 5

 

 

 

 

 

(b)       The perimeter of a rectangle is 54 metres.  If the length is 15 metres find  breadth. 

 

 

 

 

 

Q.3.(a)           The average of a batsman in 6 innings is 32 runs.  If he scores 54, 21, 14, 38, 31 in the first 5 innings, find his score in the 6th innings.

 

 

 

 

 

 

 

(b) If   x  =  3 + x  ,  find x .

           2             3

 

 

 

 

 

 

Q.4.     A bag contains 10 paisa and 25 paisa coins.  The number of 10 paisa coins is four times that of 25 paisa coins.  The total value of the coins is Rs. 6.50.  Taking x as the number of 25 paisa coins make an equation for x and solve it to find the number of 10 paisa coins.

 

 

 

 

 

 

 

Q.5.                  Using ruler and compass only, construct a triangle ABC given BC = 8 cms, ΠABC = 60o, ΠBCA = 45o.  Measure AB, AC