NCERT Class 7 Mathematics Model Paper 1 Questions and Answers Part 5 (For CBSE, ICSE, IAS, NET, NRA 2022)

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33. Verify

For

OR

Divide the sum of and by their product.

Ans: LHS.

RHS

OR

34. For given solid, count the number of faces, vertices, and edges. Check the Euler՚s formula also.

Ans: Faces = 7

Vertices = 10

Edges = 15

Euler՚s formula

L. H. S. RHS

Yes, it follows Euler՚s formula

Section-D

35. ABCD is a quadrilateral proves that

Ans: Since, the sum of length of any two sides in a triangle should be greater than the length of third side.

Therefore, In

In

In

In

Adding eq. (i) , (ii) , (iii) and (iv) ,

Hence, it is proved.

36. Construct an isosceles right-angle triangle ABC, where and . Write steps of construction also.

OR

Construct an isosceles triangle in which the lengths of each of its equal sides are 6 cm and the angle between them is write the steps of construction also.

Ans:

Steps:

(i) Draw a line segment .

(ii) At point C, Draw

(iii) Taking C as center and radius 8 cm, draw an arc intersecting CX at B

(iv) Join BA, ABC is required

Or

Steps:

(i) Draw a line segment .

(ii) At point Q, draw an angle

(iii) Taking Q as center, draw an arc with radius 6 cm, which cuts at point P.

(iv) Join PR, PQR is required .