rational numbers - Vidya Devi Jindal School

1) Write:
VIDYA DEVI JINDAL SCHOOL,HISAR
MATH ASSIGNMENT
CLASS:VIII
TOPIC: RATIONAL NUMBERS
(i) The rational number that does not have a reciprocal.
(ii) The rational numbers that is equal to their reciprocals.
(iii) The rational number that is equal to its negative.
(iv) The additive inverse of a negative number
2.)Fill in the blanks.
(i) Zero has __________ reciprocal.
(ii) The numbers __________ and __________ are their own reciprocals
(iii) The reciprocal of − 5 is __________.
(v) The product of two rational numbers is always a __________.
(vi) The reciprocal of a positive rational number is __________.
(vii)The number which can be written in the form of p/q , where q≠0, is called _______ number.
3) Find the correct option:
(i) All rational numbers have multiplicative inverse except _______ .
(A) -1 (B) 1 (C) 0 (D) None
(ii)The sum of any two rational numbers is a ___________ number.
(A) Even (B) Real (C) Rational (D) Natural
(iii). 1 A rational number p/q is said to be in the simplest form if the HCF of p and q is
(a) 2 (b) 1 (c) 0 (d) 3
(iv) Between any two distinct rational numbers there exist
(a) Finite rational numbers (b) Infinite rational numbers (a) No rational number (d) none of the
above
(v) A rational number a/b is greater than c/d if (a) ad > bc (b) ad < bc (c) ad = bc (d) ad ≠ bc
(vi) .4 Is zero a rational number (a) Yes (b) No (c) Can’t say
(vii) Rational numbers are not closed under
(a) Addition (b) Multiplication (c) Division (d) Subtraction
(viii) If the additive inverse of “b” is “a” then:
(A) ab=1 (B) a=b (C) a+b=0 (D) a-b=0
4) Solve
i) If you subtract 1/2 from a number and multiply the result by 1/2, you get 1/8. What is the number?
ii) Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3, and 4
respectively, they add up to 74. Find these numbers.
iii) Represent the following rational numbers on the number line (a) -1/4 (b) -11/5 (c) -38/5 (d) -7/10 (e) -5/3
iv) Find two rational numbers between (i) -2 and 2. (ii) -1 and 0.
v) Insert six rational numbers between (i) -1/3 and -2/3 (ii) ¼ and ½.
Topic :Square and Square Roots
A. Write true or false for the following statements:
1.
2.
3.
4.
The square of a prime number is prime.
There is no square number between 50 and 60.
All square numbers are positive.
The product of two square numbers is a square number.
5. The difference between two square numbers is a square number.
6. The sum of two square numbers is a square number.
7. A number ending with even number of zeros is always a perfect square.
8. The square of a natural ( other than one) is either a multiple of 3 or exceeds the multiple of 3 by 1.
B. Fill in the blanks:
1. If √x=y, then y2=………………….
2. Upto 100, there are only……………..numbers which are perfect squares.
3. A rational number whose square is 81/64 is ……………………
4. √121/169=………………
5. The sum of first 19 odd natural numbers is ……………..
6. The number ending with odd number of zeroes is ……………………a perfect square.
7. ………………… numbers have no square root in the system of natural numbers.
8. A number ending with …………………..,………………..,…………. Or 8 is never a perfect square.
1)
2)
3)
4)
5)
6)
7)
8)
9)
Topic :Square and Square Roots
Find the square root of 729.
Find the square root of 1296.
Find the square of 35 (without actual multiplication).
Find the square root of 3136 by division method.
The area of a square plot is 4489 m2. Find the side of the square plot.
Find the square root of 7.29.
Find the greatest 4-digit number which is a perfect square.
Find the side of a square whose area is 1024 m2.
Find the value of x that makes the following statement correct.
10) Find the square root of 225/196.
11) Find the smallest square number which is divisible by each of the numbers 4, 9 and 10.
12) 2025 students are made to stand in a field in such a way that each row contains as many students as the
number of rows. Find the number of rows and the number of students in each row.
13) Find the square root of 31.36.
14) Find the square root of 2 correct to two places of decimal.
15) Find the square root of 363609.
16) What is the least positive integer ‘n’ by which 99 should be multiplied so thst 99xn is a perfect square?
17) What is the least positive integer ‘n’ by which 135 should be divided so thst 99/ n is a perfect square?
18) What is the least positive integer ‘n’ by which 867 should be multiplied so thst 867xn is a perfect square?
19) What is the least positive integer ‘n’ by which 224 should be divided so thst 224/n is a perfect square?
20) Find the square root of 1.96.
SUBJECT-FRENCH, Holiday Homework
Q.I. Complétez avec (du, de la, de l’, des, de) :1. Il prend les fruits _______ frigo.
2. Voici les livres ________ français.
3. La soeur _______ Maria est journaliste.
4. C’est la cravate ________ homme.
5. Le vélo ________ garçon est devant l’école.
6. La robe ______ femme est chère.
7. C’est la maison ________ mon ami.
8. Nous parlons __________ professeur.
Q. II.Complétez avec (à, au, à la, aux, à l’, à, du, de la, de l’, des) :1. La femme parle ______ élèves.
2. Vous achetez les légumes ______ ce marchand.
3. C’est la jupe _______ Sahiba.
4. Le cartable _______ étudiant est lourd.
5. J’ai le disque ________ Ricky Martin.
6. Vous téléphonez ______ Alex.
7. Votre père va ______ ami français.
8. Il fini le devoir _______ Maria.
Q.III.Reliez les phrases en utilisant les conjonctions:
(parce que,ou, si)
1. Je ne viendras pas. Mon fils est malade.
2.Tu achetes les gateaux , les cadeaux
3.Nous ne sortirons pas. Il pleut
Q.IV.Complétez avec adjectif possessif:
1.Je perd s-------------clés.
2. Jean et Jeanne aiment -------------maison
3.Nous cherchons---------------livres
4.Vous apportez --------------parapluie.
5.Tu parles à----------------ami
6.Il aime -------------femme beucoup.
Q. V. Voyez l’image et répondez .
1.Qui est ce?
2.Répondez:
i) La Manche-- qu’est ce que c’est?
ii) Quelle est la devise de la république française ?
HOLIDAY HOMEWORK : ENGLISH
Meeting friends and cousins staying in and out of India/ Reading Books/ Visiting Places are some of the many charms
of the long vacations. Get in touch and create a memory box.
CLASS VIII A
Read a story book of your choice. Write a letter to your friend describing the story. Also add what you liked the most
about the book. Conclude the last paragraph with a line or two talking about the importance of reading.
Ask your friend to respond back. Bring a Photostat copy of your letter and the original copy of your friend’s response.
CLASS VIII B
Read a book of an International Author.
DESIGN A CARD in such a manner that the front of the card has its heading and an associated colourful/ black and
white illustration. On the back side writeName of the BOOK
Name of the Author
My Name
School
Class
Read More: A Brief Summary of the book…. (The Canterville Ghost)
Set in the dark lonely room of haunted ghost, this book talks about a man who had murdered his wife, was chained by
his brother-in-law to starve till death but continued living for three centuries.
CLASS VIII C
CREATE A SPEAKING BOARD
Read any book of your choice- may it be a story book/ recipe book/ mood swings / emotions/
Your Speaking Board will talk about what ever you have read in the form of flow chart/ concept mapping.
HAMID FROM IDGAH BY
MUNSHIPREMCHAND.
VIII D
Read an interesting book/ magazine/ newspaper article and create your own caricature.
**Encourage your friends to do the same with you.
** Bring along their contributions as well.
Class- VIII
Chapter- 3
Synthetic Fibres and Plastics
MULTIPLE CHOICE QUESTIONS
1. Pick the synthetic fibre out of the following?
(a) Cotton
(b) Jute
(c) Nylon
(d) Wool 2. Which of the following is a source of rayon? (a) Wool
(b) PET
(c) Wood pulp
(d) Silk
3. Polycot is obtained by mixing (a) Nylon & wool (b) Polyester& wool (c) Nylon & cotton
(d) Polyester & cotton
4. Which is a thermosetting plastic?
(a) Melamine
(b) PVC (c) Polythene
(d) Nylon 5. The material similar to silk in appearance is -
(a) Nylon
(b) Polyester
(c) Rayon
(d) Terylene 6. The most suitable material for the preparation of handles of cooking utensils is:
(a) Polythene (b) Nylon
(c) PVC
(d) Bakelite 7. Which of the following is not a common property of plastics?
(a) Non-reactive (c) Durable
(b) Light in weight (d) Good conductor of electricity 8. Which of the following represents the correct match for items in Column A with those in Column B. Column A
Column B
I. Nylon
(i) Thermoplastic
II. PVC
(ii) Thermosetting plastic
III. Bakelite
(iii) Fibre
(a) I-(ii), II-(iii), III-(i) (b) I-(iii), II-(i), III-(ii)
(c) I-(ii), II-(i), III-(iii) (d) I-(iii), II-(ii), III-(i)
9. Which of the following groups contain all synthetic substances?
(a) Nylon, Terylene, Wool
(b) PVC, Polythene, Bakelite
(c) Cotton, Polycot, Rayon
(d) Acrylic, Silk, Wool
10. The material which is commonly used for making kitchen containers is
(a) PVC
(b) Teflon
(c) Acrylic
(d) PET
VERY SHORT ANSWER QUESTIONS
11. Cotton is a natural polymer. What is its chemical name?
12. A synthetic fiber which looks like silk is obtained by chemical treatment of wood pulp. It is, therefore, known as
artificial silk. What is its common name?
13. Terrycot is made by mixing two types of fibres. Write the names of the fibres.
14. Plastic articles are available in all possible shapes and sizes. Can you tell why?
15. Plastic is used for making a large variety of articles of daily use and these articles are very attractive. But it is
advised to avoid the use of plastic as far as possible. Why?
16. Why is it not advisable to burn plastic and synthetic fabrics?
17. Select the articles from the following list which are biodegradable.
(a) paper (b) woolen clothes
(c) wood
(d) aluminium can
(e) plastic bag (f) peels of vegetables
18. A bucket made of plastic does not rust like a bucket made of iron. Why?
SHORT ANSWER QUESTIONS
19. Rohit took with him some nylon ropes, when he was going for rock climbing. Can you tell why he selected nylon
ropes instead of ropes made of cotton or jute? 20. A lady went to the market to buy a blanket. The shopkeeper showed her blankets made of acrylic fibres as well as
made of wool. She preferred to buy an acrylic blanket. Can you guess why? 21. PVC (polyvinyl chloride) is a thermoplastic and is used for making toys, chappals, etc. Bakelite is a thermosetting
plastic and is used for making electrical switches, handles of various utensils, etc. Can you write the major difference
between these two types of plastics? 22. Fill in the blanks.
(i) A polymer is a chain of many small units joined together which are called ______. (ii) The synthetic fibres are also known as ______ fibres. (iii) The first fully synthetic fibre was ______. (iv) A fibre similar to wool is ______. (v) A plastic used for making crockery is ______. 23. Match items in List A with the items of list B.
List A
List B
(a) nylon
(i) non-stick coating
(b) PET
(ii) electric switches (c) rayon
(iii) parachutes (d) thermosetting plastics
(iv) polyester
(e) teflon
(v) artificial silk
24. Unscramble the jumbled words given below, related to synthetic materials.
(a) anory
(b) lopmery
(c) relyteen
(d) felton
(e) yespolter (d) laspict
LONG ANSWER QUESTIONS
25. Indicate whether the following statements are True or False. Also write the false statements in their correct form.
(i) The fabric terywool is obtained by mixing terylene and wool. (ii) Synthetic fibres do not melt on heating. (iii) It is risky to wear synthetic clothes while working in the kitchen. (iv) Most of the plastics are biodegradable. 26. Write the importance of synthetic polymers in our life. 27. Despite being very useful it is advised to restrict the use of plastic. Why is it so? Can you suggest some methods to
limit its consumption? 28. Write an activity to show that synthetic fibres are stronger than the cotton fibres. **************