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6. Represent the following numbers on the number line:

a) √ 9.2

b) √14

c) √5.7

d) √20

e) √24

7. Rationalise the denominator:

a) (3+√5)/√7

b) 1/(4+√5)

c) (√3-1)/(√3+1) d)1/(√3-√5)

e) (5+√8)/√6

8. Simplify each of the following:

a) (4+√2)(2+√5)

c) (7+3√7)(3+√7)

e) (3√2-7√3)(√2-√3)

d) (1+2√2)(5+√6)

f) (6+√6)(6-√6)

b) (3-2√2)(√6+√2)

9. Find ‘a’ and ‘b’ in each of the following:

a) (√3-1)/(√3+1) = a-b√3

b)(3+√2)/(3-√2) = a+b√2

c) (√11-√7)/(√11+√7) = a-b√77

d) (4-3√5)(4-3√5) = a+b√5

10. Evaluate:

-3/2

a) (64/25)

-1/3

b)( 125)

11. If p(x)=2x

-5x+4, find p(0),p(-1).

12. Find the remainder when p(x)= x

+2x

-3x

+x-1 is divided by (x-1).

13. Find the value of ‘a’ for which the polynomial

a) x

-x

-11x

-x+a is divisible by (x+3)

b) 2x

-3x

-18x+a is divisible by (x-4)

14. The polynomials ax3+3x2-3 and 2x3-5x+a when divided by (x-4) leave the same remainder, find the value

of ‘a’.

15. Verify that :

a) 2 is a zero of the polynomial (x+2)(x-2)

b) -1/2 is a zero of the polynomial (2y+1)

PROJECT WORK

1. Prepare a chart to verify the formula (a+b+c)

2. Prepare a working model to find the volume of a cube.

3. Prepare a working model to show that the volume of a cone is 1/3 times the volume of a cylinder.

4. Prepare a project on the story of ‘pi’and also a working model to show that ‘pi’=3.14.

5. Prepare a project/chart on mathematical riddles.

6. Prepare a working model of mathematical formulae.

7. Design a project/working model showing day-to-day applications of Heron’s formula.

8. Design a model of the Cartesian plane.

9. Design a project/working model to show that the surface area of a sphere is 4∏r

COMPUTER

In Class IX we have already started working in HTML. In HTML, we can design the webpages and websites. So

during these holidays lets have fun and design website using various markup tags and different tools we have

already used. So each student has to make a website comprising of 3-4 pages linked together for the following

topic

Wedding Cake shop

Scenario:

A new designer cake shop knows very little about computers but wants to take their business online. The main

focus of the business is wedding cakes, however they are looking to expand the business to possibly cater for other

types of cakes such as birthdays and other Celebrations.

An easy to update site(wordpress or blog) we would like to keep people up to date with our latest events or plans.

Holiday Homework For Languages And Sciences - Ix Class, Apeejay School, Sheikh Sarai-I, 2015 Page 7

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