Section   A

All questions are compulsory. Each question carry 2 marks.

1. Write the following using literals, numbers and signs of basic operations

(i)The product of x and y added to their sum.

(ii)Twice x increased by y.

1. Add

            4xy  -  5yz  -  7zx

          - 5xy  + 2yz  +   zx

          - 2xy  -  3yz   + 3zx

3.   If   x =1 , y =2,  z =5     find

             2x  -  3y  +z

4.      Find the value of x

                   51: 85 =  57: x

1. Divide Rs 642 among  A,B,C  in the ratio 1:2:3

1. Solve by trial and error method 

                         2x-3 = 9

1. If  15 tins contain 234 Kg of oil , how much oil will be there in 10 such tins ?

1. Find the perimeter of a rectangle if     length=  8.6 m      breadth= 2.45 m
2. The measures of two angles of a triangle are 75 and 60 . Find the measure of third angle.
3. Give example of two objects which are in the shape of 

              (i)  a cone     (ii)  a cylinder

                                       Section   B

All questions are compulsory. Each question carry 3 marks.

1        If      A= 7x  + 5xy – 9y          B =  - 4x +xy +5y       C=  4y – 3x-6xy     then show that A+ B + C = 0

2        Solve the following equations

        (i)   3(x+2)-2(x-1)=7

        (ii) x-3   2   2x

1. 5

1. The length of a rectangular hall is 5m more than its breadth. If the perimeter of the hall is 74 metres. Find its length and breadth.

4    i) Find the ratio in simplest form 48 minutes to 1 hour. 

1. Are 30 ,40,45,60 in proportion.

       5    Find the distance covered by the wheel of a car in 500 revolutions if the diameter of the wheel is 77 cm.

       6    In a     ABC if   3  A = 4  B = 6  C. Calculate the angles.

       7 i) In an army camp, there were provisions for 550 men for 28 days.But 700 men attended the camp.How long did

the provisions last?

         ii) How many lines of symmetry have

1. A circle  b) A scalene triangle.

1. A lane 150 m long and 9 m wide is to be paved with bricks each measuring 22.5 cm by 7.5 cm.Find the number of bricks required.

1. A dice was thrown 30 times and the following outcomes were noted.

4,3,3,2,5,4,4,6,1,2,2,3,4,6,2,3,3,4,1,2,3,3,4,5,6,3,2,1,3,4. Represent the above data in the form of frequency distribution.

10.  Draw a circle with centre O and radius 4 cm. Draw a chord AB of circle. Indicate by marking points X and Y the minor arc AXB and the major arc AYB of the circle.

 

                                            

Section – C

1. Two plots of land have the same perimeter.One is a square of side 64 m and the other is a rectangle of length 70 m and breadth 58 m.Which plot has the greater area and by how much?
2. Rohit earns Rs 7650 and saves Rs 918