NCERT Class 7 Mathematics Model Paper 1 Questions and Answers Part 5

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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.

Faces, Vertices and Edges

Faces, Vertices and Edges

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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.

ABCD is a quadrilateral

ABCD is a Quadrilateral

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Therefore, In .... (i)

In .... (ii)

In .... (iii)

In .... (iv)

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:

Construct an isosceles right-angle triangle

Construct an Isosceles Right-Angle Triangle

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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:

Construct an isosceles right-angle triangle

Construct an Isosceles Right-Angle Triangle

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(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 .