Class 8th Assignments

COMPOUND INTEREST                              assignment 1

1.Nisha obtained a loan of RUPEES 64,000 from a bank to learn a skill. If the rate of interest is 25 paise per ten rupees per annum compounded annually, Calculate the amount paid by him after 2 years to clear his dept.

2.Simple interest on a sum of money for 3 years at 25/4% per annum is Rupees 2,400. What will be the compound interest on that sum at the same rate, for the same period when the interest compounded annually.

3. Rasheed obtained a loan of Rupees 4,000 against some security. If the rate of interest is 2.5% per annum compounded annually, find the amount paid by him at the end of 3 year

4. At what rate percent will a sum of Rupees 3125 amount to Rupees3645 in 2 year  If interest is compounded annually.

5. Kavita bought a house for Rupees 3200000. If its value depreciates at the rate of 12%p.a., what will be its sale price after 3 year

6. At what time will Rupees 1600 amount to Rupees 1764 at 5% p.a. interest compounded annually.

7. At what rate percent per annum will a sum of Rupees4000 yield compound interest of Rupees 410 in 2 year

8. The difference b/w compound interest & simple interest at 5% per annum in 2 years is Rupees 30. Find the sum.

9. On what sum will the compound interest at 5% per annum for 2 years compounded annually be Rupees 164.

10. Find the compound interest on Rupees 8000 for 18 months at 10% per annum compounded half yearly.

11. Find the compound interest on Rupees 15625 for 9 months at 16% per annum interest compounded quarterly.

12. Find the amount and compound interest on Rupees 625000 at 8% p.a. compounded annually for 3.5 year

13. Find amount and compound interest on Rupees 5000 for 2.5 years at 20% p.a. compounded annually.

14. Three years ago, the population of a town was 50,000. If the annual increase during three successive years be at the rate of 4%,5% and 3% respectively. Find present population of town.

15. The population of a town is 64,000. If the annual birth rate is 10.7% and annual death rate is 3.2% . Calculate the population after 3 year

16. The difference is simple interest and compound interest on a certain sum for 2 years at 7.5% per annum is Rupees 360. Find sum.

17. The difference between the compound interest and simple interest on a certain sum of money at 10% p.a. for 2 years is Rupees 500. Find the sum when the interest is compounded annually

18. The difference between the compound interest and simple interest on certain sum of money at 5% p.a. for 3 years is Rupees 54.90. Find sum.

19. At what rate p.a. will a sum of Rupees 6250 be compounded to Rupees 7840 in 2 year

20. Find the difference between the compound interest and the simple interest on Rupees 35000 at 8% p.a. for 3 year

21. The simple interest on a certain sum of money for 2 years at 4.5% is Rupees 5400. What will be the compound interest on that sum at the same rate for the same time period, if the compound interest earned will go to charitable society. What value is reflected

22. The simple interest on a certain sum of money for 3 years at the rate of 5% p.a. is Rupees 600. What will be the compound interest on that sum at the same interest and for same time period, if the interest is compounded annually.

23. What amount of money should a man invest in a bank in order to get Rupees 1874.25 after 2 years at rate of 5%p.a. compounded annually.

24. Find the amount when Rupees 50,000 is invested for 2 years, compounded annually. The rate of interest being 8%p.a. during the first year and 9% p.a. during the second year. Also, find the total compound interest.

25. The population of a village is increasing at the rate of 8%p.a. What will be the population of the village after 2 years if the present population is 12,500.

CONSTRUCTION OF QUADRILATERALS

1.Construct of Quadrilateral PQRS where PQ=5cm,QR=3cm,RS=4.5cm,SP=6.5cm and QS=6cm.

2.Construct a Quadrilateral ABCD in which =4cm, =3cm, =2.5cm, =4.5cm and BD=4cm.

3.Using ruler and compass, construct a Quadrilateral PQRS where PQ=3.5cm,QR=6.5cm, and =75.

4. Using ruler and compass, construct a Quadrilateral         ABCD in which AB=4.5cm,BC=5cm, ,=60°,,=120°  and, =60°. Draw a diagonal AC.                            

5. Using ruler and compass, construct a Quadrilateral         ABCD in which AB=4cm, BC=5cm,CD=4.5cm, ,=60° and, =135°.

6. Construct a Quadrilateral ABCD in which AB=BC=CD=6cm and , =60°,=120°⋮ Is ABCD is Parallelogram?

7. Construct a Quadrilateral ABCD in which =4cm,=5cm,=4.5cm,=6.5cm and =7.5cm.

8. Construct a Quadrilateral ABCD in which each side is 4.5cm and one diagonal  is 6cm. Measure BD.

9. Construct a Quadrilateral ABCD in which three side are 4cm each and both diagonal are 6cm each.

10. Construct a Quadrilateral ABCD in which ==5cm,=6cm, diagonal are 7cm each.

11. Construct a Quadrilateral ABCD in which all sides are 6cm each and,

 ==90°.

12. Construct a Quadrilateral ABCD in which ===5cm, diagonals =7cm and diagonal bisect each other at right angle. What type of quadrilateral is it?

13.  Construct a Quadrilateral ABCD in which AB=CD=3cm and BC=AD=4cm and diagonals are 5cm each. What type of quadrilateral is it?

Exponents and Radicals

Assignment 1                          1 Mark

1.       Find the value

(a)    

(b)    

2.       Find the value

3.       Simplify

4.       Express with positive indices.

2 Marks

5.       Simplify

6.       Simplify

7.       Simplify

8.       Find if

9.       Find  if

10.    Find the value of

3 Marks

11.    Simplify and express the result as a rational number

12.    Evaluate

13.    Find the value of

14.    Evaluate

15.    Evaluate

16.    Evaluate

17.    Evaluate

18.    Solve

Section – D

19.    Determine  so that

20.    Find the value of , if

21.    If  ,then find the value of

22.     If  ,then find the value of

23.    Find  if

24.    Find  if

25.    Find  if

Linear equation assignment1

1 mark

Write the degree of following polynomials

1.      

2.       ( – 4) (

3.       – 8  +  +  +  + 1

4.       – 5

5.       (2x + 3)

6.       4x( 2) + 5 ( 2

7.       ()  ( )

8.       Write polynomial of degree 2

Solve the following equations

9.        =

10.   

11.   

12.   

13.   

14.   

15.   

16.    0.16(5x – 2) = 0.4x + 7

17.   

18.  Present ages of Anu and Raj are in the ratio 4:5.  Eight years from now the ratio of their ages will 5:6.  Find their present ages.

19.        Meera's mother is four times as old as Meera.  After five years, her mother will be three times as old as she will be then, what are their present ages.

20.        Five years ago a man was seven times as old as his son.  Five year hence, the father will be three times as old as his find their present ages.

21.        After 12 years I shall be 3 times as old as I was 4 years ago find my present age.

22.        A number consists of two digits where sum is 9.  If 27 is subtracted from the number, its digits are reversed.  Find number.

23.        The digit in the ones place of a 2 digit number is 4 times the digit in the tens place.  The number obtained by reversing the digits exceeds the given number by 54.  Find given number.

24.        One of the two digits of a two digit number is three times the other digit.  If you interchange the digits of this two digit number and add the resulting number to original number, you get 88.  What is the original number.

25.        A motorboat goes downstream and covers a distance in 8 hours while it covers the same distance upstream in 12 hours.  If the speed of stream is 2 km/h. Find speed of the motor boat in still water.

26.        A race-boat covers a distance of 60 km downstream in one and half hours.  It covers this distance upstream in 2 hours.  The speed of race boat in still water is 35 km/h. Find speed of the stream.

27.        A boat travels 30 km upstream.  In the same period of time it takes to travel 50 km downstream.  If the current of water is 5 km/h. What is the speed of the boat is still water?

28.        The denominator of rational is greater than its numerator by 4.  If number is increased by 11 and the denominator is decreased by 1, the new rational number number becomes 7/3, find the original number.

29.        A purse has only one rupee and two rupee coins in it.  The number of 2 rupee coin is one third the number of one rupee coins.  If the purse has Rs. 115. Find no. of 2 rupee coins.

30.        The length of rectangle exceeds its breadth by 5 cm. if Length and breadth are each increased by 5 cm.  The area of new rectangle will be 250 cm2 more than that of given rectangle. Find length and breadth of given rectangle.

31.        Sourabh has Rs. 34 fifty paise and twenty five paise coins.  If the number of 25 paise coins be twice the number of 50 paise coins, how many coins of each kind does he have.

32.        Ram has piggy bank.  It is full of one rupee and fifty paise coins.  I(t contains 3 times as many fifty paise coins as one rupee coins.  The total amount of the money in the bank is Rs. 35.  How many coins of each kind are there in the bank.

33.        Find two consecutive even number whose sum's is 1998.

34.        One fourth of a number is 10 less than two third of the number find number.

35.        Ramprakash died leaving one fourth of his property for his son, one fourth for his daughter and rest for his wife.  His wife gave one third of her property and Rs. 500 to the organisation which promotes women's skill development.  If the amount she give to the organisation was Rs. 15000, find the total value of the property and the amount each person got? What value is shown by the wife?

36.        Anima Left one half of her property to her daughter one third to her son and donated the rest to an educational institute.  If the donation was worth Rs. 100000, how much money did Anima have? What value is shown by Anima.

37.        A man goes from his house to his friend's house at a speed of 40 km/h and took 3 hrs and 30 minutes to reach his friend's house.  He returned at the speed of 50 km/hr and took 2 hrs and 48 minutes to reach his house.  Find the distance between his house and his friend's house.  The man goes from his friend's house.  The man goes from his house to his friend's house at low speed and rather at high speed.  Are you in favour of driving at low speed. What value is reflected?

38.        in an examination marks obtained by Ram is same as 3 time the marks obtained by Mohan.  If together they score 116 marks. Find marks obtained by a) Ram, b)Mohan. Ram is also good in curricular activities, What value is reflected by him.

Polynomials

Assignment 1

1 Mark

1.       Write the degree of the polynomial

2.       Write the degree of

3.       Divide  by

4.       Divide  by

5.       Write the degree of

2 Marks

6.       Divide  by

7.       Using factor method divide  by

8.       Using factor method divide  by

9.       Divide  by

10.    Divide  by

3 Marks

11.    Using long division method, show that  is a factor of

12.    Divide  by . Also write the quotient and the remainder.

13.    Find whether or not the first polynomial is a factor of the second.

14.    Divide  by

15.    Divide  by

16.    Divide  by  and write down the quotient and remainder. Also check your answer

17.    Divide  by  and also check.

18.    Divide and check  by

19.    Divide and verify  by

20.    Divide and write down the quotient and remainder. Also check your answer.

 by

                                                                             Probability

(3 marks questions)

1.       An unbiased die is thrown. What is the probability of getting?

a)       an even number                                  b) an odd number

c) a number greater than 3                 d) an even multiple of 3

e) A number greater than 3       f) A numbers less than 3

     g) A number greater than equal to 3

     h) A number less than or equal to 3

     I)  number between 3 and 6         j) a number 3 or 4

     k) An even number or multiple of 3                            l) prime number

     m) Composite number

2. A cord is drawn at random from a pack of 52 cards. Find the probability that the card drawn is :

a) A face card               b) a black card                      c) a red king

d) An ace                       e) a red card                         f) a face card

g) ‘10’ of a black suit                    h) a spade              I) a black king

j) The seven of club                     k) a red card         L) a heart

m) Jack                           n) a ten                  o) Queen

3.  A coin and a die are thrown. List the number of outcomes?

4.  Two coins are tossed together. List the number of outcomes?

5.  Slips the number written on it as 1,4,6,7,9,15,18,36,48,73 are mixed in a bag. A ship is drawn from bag. What is the probability of getting?

a) perfect square         b) a perfect of 36                 c) a single digit no

d) Multiple of 3 but number a multiple of 9

6. The king, queen and jack of club are removed from a deck of 52 cards and the wall shuffled. One card I selected room the remaining cards. Find he probability o getting?

a) a heart       b) a king                      c) a club     d) the ‘10’ of hearts

7. There are 25 chalks in a box in which 8 are yellow chalks 11 are blue chalks and rest is white chalks. You are asked to pick a chalk from the box without looking into the box. What is the probability of

a) getting a yellow chalks    b) getting a blue chalks 

c) getting  a white chalk

8. Three coins are tossed simultaneously 120 times with the following frequency of different outcomes

Outcomes	3 heads	2 heads	1 heads	No head
frequency	20	37	40	23

Find probability of getting

a) 1 head     b) no head

9) There are 26 separate slips marked with alphabets a to z and put them in a bag. One slip is chosen from the bank. What is the probability of?

a) getting a vowel     b) getting a consonant   c) getting a letter R

Rotational Symmetry

1.       In the word RECTANGLE which letter shows rotational symmetry of order 2?

2.       Write the order of rotational symmetry of the given figure at the marked

point.

3.       Write the order, centre and angle of rotational symmetry of the following:-

a.        Square

b.       Rectangle

c.        Parallelogram

d.       Equilateral triangle

e.       Regular octagon

f.         Circle

g.        Semi-circle

4.       In the word ‘MATHS’ which letter shows rotational symmetry of order 2?

5.       List two letters of English alphabet which exhibit, both line as well as rational symmetry.

6.       Explain the order and rational symmetry in case of wind mill with figure.

7.       Name one figure each having rotational symmetry of order and also calculate the angle of rotational

a.        4

b.       2

c.        3

d.       6

                                                                    Statistics

1.  The number of students in a hostel speaking different languages in a given below. Present a data in pie chart?

languages	Hindi	English	Marathi	Tamil	Bengali	Total
No. of students	40	12	9	7	4	72

2. The following data relates to the cost of construction to a house in Delhi?

Items	Cement	Steel	Bricks	Timer	Labour	Miscellaneous
Expenditure	30%	10%	15%	25%	10%	10%

3. The following data shows the number of students opting different subjects in a college?

Subjects	English	Math	Physics	Chemistry	Economics	Commerce
No. of students	45	60	20	30	10	15

Construct a pie diagram to represent the above the data

4. The following pie chart represents the amount spent on different sports by a school administration in a calendar year. If the money spent on football is Rs. 9000, answer the following questions

a)  What is the total amount spent on sports?

b)  How much more amount spent on hockey than on football?

c)  What is the amount spent on cricket?

5. The following pie – chart shows the number of students admitted in different facilities of a college. If 1000 students are admitted in science answer the following?

a) What is the total number of students?

b) What is the ratio of students in science and arts?

6. The following pie – chart shows the monthly expenditure of Shikha on various items if the spends Rs. 16000 per month, answer he following questions

a) How much does she spend on rent?

b) How much does she spend on rent?

c) how  much does she spend on education?

d) what is the ratio of expenses on food and rent?

7.  The weekly wages (in Rs.) of 30 workers in factory are given. 830,835,890,820,860

Mark a frequency table with intervals as 800 – 810 , 810 – 820 and so on, using tally marks. Also, draw a histogram and answer he following questions

a)  Which group has the maximum number of workers?

b) How many workers earn Rs. 850 and more?

c) How many workers earn less than Rs. 850?

8. The daily minimum temperature (in C`) in Delhi for 30 days of June in a particular year was an under

Prepare a frequency table taking class intervals 24.0 – 25.5, 25.5 – 27.0 etc. also prepare a histogram. Find the class intervals, class size and class mark corresponding to maximum frequency?

9. Draw a histogram from a frequency from the following frequency distribution table

Age	20-25	25-30	30-35	35-40	40-45	45-50	50-55
No. of teachers	3	6	11	8	5	4	3

10. Read the bar graph given below showing the number of literate females the age group of 10 to 40 years in a town and answer the given questions

a) What is the class mark of all class?

b) What is the class size?

c) What is the lowest frequency?

d) Write the age group in the age which of literate females in the highest?

e) In which age group literate females are the last?

f) What is the total number of literate females in the group of 15 - 25?

Understanding Quadrilateral

assignment1

1.       ABCD is a parallelogram in which. Find the measure of each of the angles ,  and

2.       Two adjacent angles of a parallelogram are equal. What is the measure of each of its angles?

3.       Two adjacent angles of a parallelogram are in the ratio 4: 5. Find the measure of each of its angles.

4.       Two adjacent angles of a parallelogram are  and. Find the value of  and hence find the measure of each of its angles.

5.       The sum of two opposite angles of a parallelogram is. Find the measure of each of its angles.

6.       Two sides of a parallelogram are in the ratio 5: 3. If its perimeter is 64 cm, find the lengths of its sides.

7.       The perimeter of a parallelogram is 140 cm. if on e of the sides is longer than the other by 10 cm, find the length of each of its sides.

8.       The lengths of the diagonals of a rhombus are 16 cm and 12 cm respectively. Find the length of each its sides.

9.       The length of a rectangle is 8 cm and each of its diagonals measures 10cm. Find its breadth.

10.    The sides of a rectangle are in the 5: 4 and its perimeter is 90 cm. find its length and breadth.