Page 1 - HA-6
P. 1

SAI INTERNATIONAL SCHOOL


                                                CBSE CURRICULUM


                                                       Class: VI

                                            HOME ASSIGNMENT -8.6


                                             SUBJECT: Mathematics

               CH: 8-PLAYING WITH CONSTRUCTIONS
               SUBTOPIC:  POINTS EQUIDISTANCE FROM TWO GIVEN POINTS



                   1.  If you want to find a point that is equidistant from two given points, which
                       geometrical instrument would you use?
                       (a) Ruler               (b) Compass         (c) Protractor     (d) Set squares
                   2.  A circle has:
                       (a) two centres   (b) a fixed radius (c) at least one centre (d) no radius.
                   3.  Draw three circles with common centre and radii 3 cm, 4 cm and 5 cm.
                   4.  Case study questions.
                         Arranging Books on a Shelf

                    A librarian arranges books on a shelf. The shelf is 120 cm long, and she wants to divide
               it in into three equal sections to organize books by category. She uses a scale and
               geometrical construction to mark the dividing points.

               (i)How can the librarian divide the shelf into three equal sections?
               (a) By measuring 40 cm from one end for each section
               (b) By bisecting the shelf twice
               (c) By marking the midpoint and measuring equal distances from it.
               (d) By drawing perpendicular lines from each end.

               (ii) Why is finding the midpoint of the shelf important for the construction?
               (a) It ensures symmetry in the arrangement. (b) It helps measure the length of the shelf.
               (c) It ensures the books are equally distributed. (d) It helps draw perpendicular lines.
               (iii)What tool can the librarian use to ensure accurate divisions?
               (a) A protractor   (b) A compass and ruler   (c) A measuring tape   (d) A calculator
               (iv) If the librarian wants to further divide each section into two equal parts, how many
               divisions will the shelf have in total?
               (a) 3                 (b) 6                 (c) 9                 (d) 12
               5. Dividing a Circle for Equal Cake Slices
               A baker is making a round cake and wants to cut it into 8 equal slices. He uses a
               geometrical construction to divide the circle into 8 parts. He starts by drawing a diameter
               of the circle and then constructs perpendicular diameters to divide the circle into equal
               sections.
               (i) What is the first step the baker performs in this construction?
               (a) Drawing the radius of the circle
   1   2