Practical Geometry - Maths English Science

IITJEE Foundation Practice paperPRACTICAL GEOMETRYclass-7-MathematicsNumber of Questions: 48For Answers and Solutions, Go to www.micromerits.com1A triangle can be constructed by taking its sides as:2 cm, 4 cm, 5 cm1.7 cm, 2.8 cm, 4.5 cm2.4 cm, 2.4 cm, 6.4 cm3.2 cm, 2.3 cm, 5.5 cmom2A triangle can be constructed by taking two of its angles as:135 , 55 90 , 90 80 , 50 .c120 , 70 icromerits3triangular pyramidrectangular pyramid rectangular pyramidMtriangular prism4All faces of a pyramid are alwaystriangularrectangularcongruentNone of the aboverectangular prism

5A solid that has only one vertex iscubesphereconecylinder6Which among the following is a 3-D figure?RectangleCuboidCircleCylinder7A sphere has edges.01238prismpyramidconesphereA cube has shaped faces.squaretrianglecircleitsrectangle.c9omA solid that has two opposite iden cal faces and other faces asparallelograms.omer10If F, E and V denote respec vely the number of faces, edges andver ces of a polyhedron, then the Euler's formula is given byF-E-V 2Micr11F E-V 2F-E V 2F E V 2

4, 4, 6 respectively6, 4, 4 respectively4, 4, 4 respectively4, 6, 4 respectively 4, 6, 4 respectively7, 10, 15 respectively7, 15, 10 respectively 7, 15, 10 respectively10, 7, 15 respectively.c15, 10, 7 respectivelyom12Micromerits13

a - ii, b - iii, c -iv, d - ia - i, b - iii, c -ii, d - iva - iii, b - iv, c -i, d - iioma - iii, b - iv, c -ii, d - i a - iii, b - iv, c -ii, d - iomerits.c14YesMicr15No No

A onlyB onlyC onlyAll of the above All of the above16Which among the following has an infinite number of lines ofsymmetry.Regular hexagonCircleRhombusSquarecone of height 5 cm, base 3 cmtriangle of height 5 cm, base 3 cmtriangle of height 5 cm, base 6 cm.ccone of height 5 cm, base 6 cmom17If we rotate a right-angled triangle of height 5 cm and base 3 cm aboutits height a full turn, we getMicromerits18A onlyB only B onlyC onlyNone of the above19When a torch is pointed towards one of the ver cal edges of a cube,

the shadow of cube is in the shape ofsquarerectangle but not a squarecircletriangle20A rectangle has a rota onal symmetry of order123421The order of rota onal symmetry of a square is123422In which of the following cases, a unique triangle can be drawn.AB 3 cm; BC 8 cm, CA 4 cmPQ 4 cm, P 50 and QBC 5.4 cm, B 55 90 , and C omAn isosceles triangle with the length of each equal side is 7.2 cmomerits.c23a onlyb onlyc onlyboth a and b both a and b24Which among the following le ers from English alphabet has two linesof symmetry.AXYicrHM25An equilateral triangle has lines of symmetry.123infinite 120

26Which among the following have both line and rota onal symmetry?scalene triangleequilateral triangleisosceles trianglenone of the above27Which among the following le ers from English alphabet has no lines ofsymmetry?NHCZ28Which among the following has a line of symmetry but does not haverota onal symmetry?semicircleisosceles trianglesquareboth a and b29A square hasonly rotational symmetryboth line symmetry and rotational symmetryomonly line symmetry.cneither line symmetry and nor rotational symmetry90 180 Any angleomer60 its30The angle of rota on of a circle for rota onal symmetry is31The centre of rota on for a rhombus ispoint of intersection of any angle bisectorspoint of intersection of diagonalspoint of intersection of the line segments joining the mid points of opposite sidesicrcan't be determinedM32

(i) - (b), (ii) - (c), (iii) - (a), (iv) - (d)(i) - (c), (ii) - (a), (iii) - (d), (iv) - (b)(i) - (c), (ii) - (d), (iii) - (a), (iv) - (b) (i) - (c), (ii) - (d), (iii) - (a), (iv) - (b)om(i) - (d), (ii) - (b), (iii) - (a), (iv) - (c)omerits.c33acdMicr34bbabcdd

35Order of rota on of a regular hexagon is65433623340omerits.com37A onlyMicr38B onlyC only C onlyNone of the above

HexagonPentagon PentagonRhombusOctagon39B and CA and BA and C A and CB and Domerits.com40(i) - (b), (ii) - (c), (iii) - (a) (i) - (b), (ii) - (c), (iii) - (a)(i) - (a), (ii) - (b), (iii) - (c)icr(i) - (b), (ii) - (a), (iii) - (c)(i) - (c), (ii) - (a), (iii) - (b)M41A cone has vertex, curved edge, curved face andflat face.1, 2, 1, 11, 1, 1, 10, 1, 0, 21, 1, 0, 1

42The order of rota onal symmetry of the le er S is012343Which of the following is/are point symmetric?RectangleSquareParallelogramAll of these44An isosceles triangle has line(s) of symmetry.012345Is it possible to draw a line parallel to AB, through a point C where C is apoint taken outside the line AB using ruler and compasses only.NoomYes NoitsYes .c46Is it possible to construct a triangle PQR such that PQ 7.4 cm,m P 110 and m Q 80 ?icromer474566M348Which among the following is an example of a cylinder?ice-cream coneround appleglassdice

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only line symmetry only rotational symmetry both line symmetry and rotational symmetry neither line symmetry and nor rotational symmetry 30 . These printable Worksheets and Practice Papers are available for FREE download Helps stu