MATHEMATICSWORK BOOK

IX th std

REAL NUMBERS

MATHEMATICS

Worksheet No.1 Name of Student: ………………………............. Class: IX Unit: 12 Real Numbers

1. Here is a square with length of sides 1c.m. Calculate the length of its diagonal?

Length of sides = …………….

Length of diagonal= …………….

= ……………2. Calculate the perimeter of the circle with diameter 1c.m.?

1

Diameter = …………….

Radius = …………….

Perimeter= …………….

= …………….

1

1

3 Real Numbers

Worksheet No.2

3. Draw a number line and mark 3/2 and 5/3.

4. Can you help Raju to find the position of √2 by completing the below figure?

5. Teacher gave home work for Raju to find the position of П on the number line. Can you help him to identify the position?

4 Real Numbers

Worksheet No.3

6. Draw a number line and mark the numbers given below as points on it.

• 1/3 •9/4 • -7/3 • -4/5

7. Find the positions of √3 and √5 on number line?

Real Numbers5

8. Mark on a number line the positions of the numbers satisfying each of the following conditions below:

• 3 < x < 5 • 3 < x < -5 • -3 < x < 5 • -3 < x < -5

Worksheet No.4

9. Give the algebraic condition satisfied by the numbers in the portion marked.

10.Mark each pair of numbers given below on the number line and check whether the distance between them is equal to the number got by subtracting the smaller from the larger:

• 2, -6 • -2, -5 • -3, 3 • 0, 3 • 0, -3 • -3/2, 5/2

6 Real Numbers

Worksheet No.5

11. Fill in the blanks:

If 6 is a positive number; │6│= ...............

If 6 is a negative number; │6│= ………...

If 6 =0; │6│= ………...

12. Find x satisfying each of the following equations: i)│x-3│= 1 ii)│x-2│=│x+5│ iii)│x│=│x-1│

7 Real Numbers

Worksheet No.6

13. Prove that if 1 < x < 4 and 1 < y < 4, then │x-y│< 2.

8 Real Numbers

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