OLYMPIADS STUDY MATERIAL

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REVISION ASSIGNMENT PA 1

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ASSIGNMENT (Heron's formula)

ASSIGNMENT

CLASS-IX                                                                                                                                             TOPIC-Heron’s formula

TYPE I: To find the area of triangle using Heron’s formula-

Q1. Find the area of triangle whose sides are 42 cm, 34 cm & 20 cm in length. Hence, find the height corresponding to the longest side?

Q2. Find the area of triangle two sides of which are 18 cm & 10 cm and the perimeter is 42 cm.

Q3.The perimeter of a triangle is 540 m and its sides are in the ratio 25:17:12. Find its area.

TYPE II: Application based questions-

Q1:  How much paper of each shade is needed to make a kite given in the figure, in which ABCD is a square with diagonal 44 cm?

                                                 

Q2: A design is made on a rectangular title of dimension 50 cm X 70 cm as shown in Fig. The design shows 8 triangles, each of sides 26 cm, 17 cm and 25 cm. find the total area of the design and the remaining area of the title.

                                            

Q3. The parallel sides of a trapezium are 25cm and 10cm, the non parallel sides are 14cm and 13cm. Find the area of trapezium.

ASSIGNMENT 04 ( 05.05.2018)

ASSIGNMENT 03

Class IX                                   Assignment 03     03.05.2018

Q1. Find the area of triangle whose sides are 42 cm, 34 cm & 20 cm

        in length.

Q2.Find the area of triangle whose sides are 26 cm,17 cm and 25cm

Q3.The sides of a triangle are 56cm, 60cm. and 52cm. long. Find the

      area of the triangle .

Q4.An umbrella is made by stitching 10 triangular pieces of cloth of

      5 different colour each piece measuring 20cm, 50cm and 50cm.

      How much cloth of each colour is required for one umbrella?

ASSIGNMENT 02

Class IX                                   Assignment 02

Q1. Expand the following using suitable identity

       (a)(-p + 4q - 3r)²         (b) (5p-3q)³      (c) (101)³   (d) (2x+3)(2x -7)

Q2. Find the zero of the given polynomial 2x+7

Q3.  Is a polynomial of degree__________.

Q4. If p(x) =x²-2x+1, then find p(2)

ASSIGNMENT 01

Class IX                                         Assignment 01

TOPIC I : Inserting rational numbers between two given rational numbers.

Q1. Find a rational number between  &  .

Q2. Find 8 rational numbers between 2 & 3.

TOPIC II : Types of decimal expansion

Q3. Write the following into decimal form and say what kind of decimal expansion each has-

i.                    

ii.                   

TOPIC III: Conversion of terminating and non terminating repeating decimal expansions into the form

Q4. Express the following into the form  -

i)                     0.15

ii)                   0.

iii)                  32.12

iv)                  0.6 + 0. + 0.

TOPIC IV : VISUALIZATION

Q5. Visualize the following-

i.                     3.8652

ii.                    4. up to four decimal places.

TOPIC V : Representation of irrational numbers on the number line.

Q6. Locate the following on the number line-

I.                      

II.                   

III.                 

TOPIC VI :Geometrical Representation-

Q7. Represent the following geometrically-

i.                    

ii.                   

TOPIC VII : Rationalization-

Q8. Rationalize the following-

i.                    

ii.                   

              ****Date of submission – 16.04.2018*************