For Class 8

Grand Test 3

1. A post 47m high is supported by wires attached o its top and to a point on level ground, 18m

    from the foot of the post. Find the length of each wire.                                                                            

2. The length of the sides of a triangle are x cm, (x+1) cm and (x+2) cm. Determine ‘x’ so that this

     triangle is a right-angled triangle.                                                                                                                               

 

                                                                       

7. Find mean, median, mode and range of the data                                                                                                   [3]

                      -5, 3, 8, 5, 4, -9, 3, 2,

8. The mean of six numbers is 141. Three of the numbers are 32, 31, and 42. The remaining three              

      numbers each equal to ‘a’ 

  i) What is the sum of six numbers?

  ii) Find the value of ‘a’

9. Find mean, median, mode and range of the data                                                                                       

x	0	1	2	3	4
f	5	10	8	4	3

       

10. In the sketch the curve  cuts the x-axis                                                                       [4]

     at two points A and B, and the y-axis at point C.

    M is the minimum point. Write down the coordinates of

   points A, B, C and M.

                                                                                                  

11. Draw the graph of  

x	-3	-2	-1	0	1	2
Y	5			2	10

       

Scale: 2cm = 1 unit on x-axis

           1cm = 2 unit on y-axis

   From graph find

   a) The co-ordinates of the minimum point. ( _________, ___________)

   b) Equation of line of symmetry: _____________

   c) The value of ‘y’ when x= - 2.7    ______________

   d) the value of ‘x’ when y= 8 __________________