THE DOON SCHOOL DEHRA DUN – 248001

ENTRANCE TEST – SPECIMEN PAPER

MATHEMATICS

CLASS – 8

­­­­­­­­­­­­­­­­­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.         Of the following fractions which is the second greatest?                                                                 

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

2.         8.3 + 9.2 x 0.3 – 0.8 is equal to

            (a) 10.26        (b) 11.01        (c) 10.20        (d) 9

 

3.         If x = 3, y = -2, z = 2 then the value of        4(xyz)3            is

                                                                        (2x2yz2)2

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

 

4.                     5 m

                                    1.5m

       3m              1m       

                                                              2m

                                           6m

Two rectangles overlap in a smaller rectangle as shown.  The total area of the figure is

            (a) 24m2         (b) 25m2         (c) 25.5m2                  (d) 27m2

5.         x – [y – {x – (y –  x – y)}] when simplified gives

            (a)   0              (b) 3x – 3y     (c) 2x              (d) None of these

6.         13 + 23 + 33 +43 + 53 + 63 equals

(a)  (1+2+3+4+5+6)3      (b) (1+2+3+4+5+6)2      (c) 73        (d) None of these

7.        

                                                        x  80o      

 

 

                                                 120o                          

            In the given diagram the value of x is

            (a) 20o                        (b) 30o                        (c) 40o                        (d) 60o

8.         One million seconds is about

            (a)  3 days       (b) 12 days                 (c) 3 months              (d) 1 year

9.         In a school 30 boys and 20 girls entered a competition.  Prizes were awarded to 10% of the boys and 20% of the girls.  The total percentage of entrants receiving prizes was-

            (a)  15             (b) 30              (c) 14              (d)  7

10.       The sum of the two largest prime factors of 770 is -

            (a) 20              (b) 18              (c) 25                          (d) None of these

11.       The cube root of 13824 is -

            (a)  26             (b) 24              (c) 25              (d)  27

12        2x  -1      2   is equal to -

                   x

            (a) 4x2 +   1   - 2        (b)  4x2 -  1  +  2        (c) 4x2  +  1  -  4        (d) None of these

                            x2                                   x2                                 x2
 
 


13. In                                            the value of x is –

            (a)  3               (b) –3              (c) 1/3            (d)  0

14.       20 men can lay a road in 10 days.  If the work is to be completed in 4 days the number of more men required would be -

            (a)  50             (b)  30             (c)  20             (d) None of these

15.       Anant bought a suitcase for Rs. 650 and sold it to Mohan at 10% profit.  If Mohan sold it to Sohan at 10% loss then C.P. of Sohan is -

            (a)  Rs. 640                (b) Rs. 643.50           (c) Rs. 785.50           (d) None of these

 

 

16.       The product of (2x2 – x + 1) (x + 2) is

            (a)  2x3 + 3x2 – x + 2            (b)  2x3 + 5x2 + 3x + 2          (c) 2x3 + 3x2 – 3x – 2           (d) 2x3 + 3x2 + x – 2

17.       If Rs. 850 amounts to Rs. 1270.75 in 4½ years the rate % is -

            (a)       10%                (b) 11%          (c) 11½%       (d) None of these

18.       In an isosceles triangle, the 3rd angle is 30o more than the equal angles.  The value of the equal angles is :  

            (a)  40o                       (b) 50o                        (c) 60o                        (d) None of these

19.       If  16x+1 = 64 the value of x is

            (a) 4                (b) Ό               (c) ½               (d) 2

20.       L.C.M. of two numbers is 315 and their H.C.F. is 5.  If one of the numbers is 45, the other number is:

            (a)  30             (b) 28              (c) 35              (d) None of these

 

SECTION B  (25 marks)

1. (a)   Find the value of 24.05 correct to 2 decimal places.

                                              25

 

 

 

 

 

 

 

(b)       Harpal bought lemons at the rate of 15 for Rs. 10 and sold them at 12 for Rs. 10.  Find his gain percent.

 

 

 

2. (a)   Find the value of  (7/2)+(19/7) X(7/19)-(1/2)/2

 

 

 

 

(b)       One number is 4 more than the other.  When the larger number is divided by the smaller, the quotient is 5/2 .  Find the numbers.

 

 

 

 

 

3.         (a)  Simplify                           (ab-2c-1 )/a2b-3c-2

 

 

 

 

 

                (b)  Factorize     a + 5x – 5 – ax

 

 

 

 

 


4.         The Cost of leveling a rectangular plot of land which is 50 metres long at Rs. 2 per metre square is Rs. 3000.  Find (i) area of the plot, (ii) width of the plot (iii) perimeter of the plot.

 

 

 

 

 

 

5.         Construct  triangle ABC given a = 10 cms, angle ABC = 60o and angle ACB = 45o.