Class 8 Mathematics
Assignment 1


Q.1.  The cost of Image001 m of wire is Rs Image002, then find the cost of one metre of the wire.

Q.2.    Image003 of all the money in Anil's bank account is Rs 88000. How much money does Anil have in his bank account?

Q.3.  A Image004 m long rope is cut into equal pieces measuring Image005 m each. How many such small pieces are these?

Q.4.  Quadrilateral EFGH is a rectangle, in which J is the point of intersection of the diagonals. Find the value of x, if JF = (8x + 4) and  EG = (24x – 8).

Image006

Q.5.  PQRS is a trapezium such that PQ || RS, ÐP : ÐS = 2 : 1, ÐQ : ÐR = 7 : 5 . Find the angles of the trapezium.

Q.6.  Is it possible to draw a quadrilateral ABCD uniquely such that AB = 8 cm, BC = 12 cm, CD = 8 cm and DA = 12 cm? Why or why not?

Q.7.  How will you construct a rectangle PQRS, if you know only the lengths PQ and OR?

Q.8.  Construct the kite EASY, if AY = 8 cm, EY = 4 cm and SY = 6 cm. Which properties of the kite did you use in the process?

Q.9.  Find the length of the side of a square, whose area is 729 m2.

Q.10.  Find the square root of the following by long division method

(a) 1369

(b)5625

Q.11.  Find the value of Image007.

Q.12.  Is 68600 a perfect cube? If not, find the smallest number by which 68600 must be multiplied to get a perfect cube.

Q.13.  Find the cube root of 614125 through estimation.

Q.14.  Using prime factorisation, find the cube root of 5832.

Q.15.  How many faces does each of the following solids have?

(i) Tetrahedron

(ii) Hexahedron

(iii) Octagonal pyramid

(iv) Octahedron

Q.16.  How many vertices does each of the following solids have?

(i) Sphere

(ii) Octagonal pyramid

(iii) Tetrahedron

(iv) Hexagonal prism

Q.17.  The distance between City A and City B on a map is given as 8 cm. If the scale  represents 1 cm = 200 km, then find the actual distance between City A and City B.

Q.18.  The difference between a 2-digit number and the number obtained by interchanging its digit is 63. What is the difference between the two digits of the number?

Q.19.  If 1AB + CCA = 697 and there is no carry-over in addition, find the value of A + B + C.


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