ACTIVITY

AIM:- To understand the concept of generalization of arithmetic problems

MATERIAL REQUIRED

1)                             1)Toothpicks or matchsticks

2)                             2)  Fevicol

No. of L’s	1	2	3	4	30	n
No. of matchsticks used	2	4	6	8	60	2n

  

No. of huts	1	2	3	4	n
No. of matchsticks used	6	11	16	21	5n+1

Activity

AIM-To verify vertically opposite angle are equal

Material Required –

1)      Origami sheet

2)      Scissors

3)      Geometry box

Procedure

1)      Draw vertically opposite angle on origami sheet ( angle1,angle3) and (angle2,angle4)

2)      Cut angle 2 and paste it on angle 4

3)      Angle2 covers angle4 exactly

4)      Therefore angle2=angle4

5)      Similarly angle 1= angle3

RESULT- Vertically opposite angles are equal

ALGEBRA PRACTICE WORKSHEET

HOW TO DRAW CIRCUMCIRCLE

http://youtu.be/4G9tlU0ASec

ANGLE SUM PROPERTY OF A TRIANGLE

http://youtu.be/vw-rOqDBAvs

Pythagoras theorem Assignment

Mathematics assignment for class VII

Pythagoras theorem

1.    A 10 m long ladder is leaning against a wall. The bottom of the ladder is 6 m

from the base of where the wall meets the ground. At what height from the ground does the top of the ladder lean against the wall?The foot of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet up on the wall, how long is the ladder?

  Ans 10feet

2.    Donna's TV screen is 20 inches long. If the diagonal measures 25 inches, how long is the width of Donna's TV? 

   Ans 15 inches

3.    If the legs of an isosceles right triangle are 5 inches long, approximate the length of the hypotenuse to the nearest whole number. 

  Ans 7 is nearest whole number

4.    Town A is 9 miles from town B, and 12 miles from town C. A road connects towns B and C directly. Find the length of this road.

 Ans 15 mile

5.    Lisa drives her car 5 km south and then 12 km east. How far is she from her starting point?

Ans 13 km

6.    Dick rides his bike 8 km south and then 15 km west. How far is he from his starting point?

Ans 17 km

7.    If a leg of a triangle is 7 ft long, and another leg is 24 ft long, what is the length of the hypotenuse?

   Ans 25 ft

8.    A garden is in the shape of a square of sides 90 feet9.     Find the height of an equilateral triangle of 20 cm.

TANGRAM

http://www.linkslearning.org/Kids/1_Math/2_Illustrated_Lessons/7_Tangrams/index.html

Activity of Addition of Integers

HOW TO MAKE 3-D SNOWFLAKE

OPERATIONS ON INTEGERS

Positive and Negative Integers with Operations

Adding Rules:

·        Positive + Positive = Positive       e.g  5 + 4 = 9 

·        Negative + Negative = Negative  e.g (- 7) + (- 2) = - 9 

·        Sum of a negative and a positive number :-Use the sign of the larger number and subtract e.g

            (- 7) + 4 = -3

                  6 + (-9) = - 3 

                 (- 3) + 7 = 4

                 5 + ( -3) = 2.

Subtracting Rules:

·        Negative - Positive = Negative  e.g(- 5) - 3 = -5 + (-3) = -8

·        Positive - Negative = Positive + Positive = Positive   e.g 5 - (-3) = 5 + 3 = 8 

·        Negative - Negative = Negative + Positive = Use the sign of the larger number and subtract

          (Change double negatives to a positive.)

          (-5) - (-3) = ( -5) + 3 = -2

          (-3) - ( -5) = (-3) + 5 = 2

Multiplying Rules

·        Positive x Positive = Positive           e.g 3 x 2 = 6

·        Negative x Negative = Positive        e.g (-2) x (-8) = 16 

·        Negative x Positive = Negative       e.g(-3) x 4 = -12

·        Positive x Negative = Negative       e.g 3 x (-4) = -12

Dividing Rules

·        Positive ÷ Positive = Positive          e.g 12 ÷ 3 = 4 

·        Negative ÷ Negative = Positive   e.g(-12) ÷ (-3) = 4 

·        Negative ÷ Positive = Negative   e.g (-12) ÷ 3 = -4

·        Positive ÷ Negative = Negative   e.g 12 ÷ (-3) = -4

INTEGERS WORKSHEET (ADDITION )

1.)  −10 +−7 +−14                         2.)  −7 +−4 +12

3.)  −13 +4 +3                               4.)  −5 +−9 +−16

5.)  −13 +7 +4                               6.)  16 +−16 +3

7.)  −14 +−13 +10                         8.)  13 +−12 +10

9.) 16 +−1 +5                               10)  −2 +7 +1

11.)  15 +−16 + 1                          12.)  3 +4 +−12

13.)   12 +−8 +3                            14.) −14 +1 +−2

15.) −1 +−15 +−1                          16)  −7 +−3 +−1

17.)  −4 +−16 +−15                        18)  13 +14 +−11

19.)   −16 +12 +5                           20.)   −15 +−4 +−15

21.)  −16 + 12 +5                           2 2.)  10 +12 +−9

23.)  2 +−2 +−2                              24.)   −5 +−7 +16

25.)  −6 +−15 +−7                          26.)   −15 +−6 +5

27.)  −7 +−10 +−5                          28.)   −15 +−5 +10

29.)  −1 +−3 +10                             30.)  1 +1 +−16

31.)  7 +8 +−2                                 32.)   −1 +14 +2

33.) −14 +−14 +−9                          34.)   −6 +−6 +−7

35.)  10 +−2 +14                             36.)   −11 +−11 +5

37.)   14 +−6 +5                              38.)   −13 +−2 +1

39.)   8 +−15 +8                              40.)  14 +−14 +13

PRACTICE Assignment for class 6

Q1. Write down the mobile number of your parents in Indian and international System of     

numeration.

Q2. Using the digits  8,0,5 make

a) Smallest 4-digit number.

b) Greatest 6-digit number.

c) Smallest 5-digit number.

Q3. Estimate the following.

a) 1729+235+46

b) 4962+6239-23

c) 8956x23

Q4. Write Roman numerals for following.

1) 690         2) 1846       3) 2090         4) 999

Q5. Write Hindu-Arabic numerals for following.

1) MDCLVI     2) MCDXII      3) CLXII     4) CDLXII

Q6.What should be subtracted from 1lakh to get 77335?

Q7.A machine on an average , produces 3370 screws a day .how many screws did it  produce in

the month of February 2000?

Q8.Replace* by the smallest digit so that 2*345 is divisible by 11.

Q9.Define prime Triplets. Give two examples of prime Triplets.

Q10. Represent the following on number line.

1) 9+4-3

2) 8-5

3) 2x7

4) 5+6

Q11. Solve the following by using properties of whole numbers.

a) 661x93+7x661

b) 569x17+569x13+569x70

c) 631x10x465-367x6310

d) 7265x7265-7265x265

Q12. Test the divisibility of 4295629 by 30.

Q13. Check the divisibility of 23596 by 11.

Q14.Find the least 3-digit number which when divided by 18,24 &34 leaves a remainder 7 in    

each case.

Q15. Determine the greatest number which divides 280 and 1245 leaving remainder 4 and 3

respectively.

Q16. Express 49 &31 as the sum of three odd primes.

Q17.H.C.F. of two numbers is 6 and their L.C.M. is 36. If one of the number is 12 then find

another number.

Q18. Find the difference between place value and face value of 6 in 23654.

Q19 Write all the Prime numbers between 1 and 100.

Q20.The number of sheets of paper available for making notebooks is 75,000. Each sheet makes 8 pages of notebook. Each notebook contains 120 pages. How many books can be made from the paper available

Factors and Mutiples for class 6

Assignment no.-1

Playing with numbers

1. Which of the following is divisible by 3?

a) 24357806   b) 35796812  c) 34679345

2. Which of the following are multiple of 6?

a) 8790432  b) 63458924     c) 85492014

3. Which of the following are divisible by 11?

a) 14322341    b) 222222222    c) 1111111

4. Which of the following is a prime number?

a) 81               b) 87          c) 91       d)   97

5.Which of the following are co-primes?

a)  8,11      b)   9 ,10      c)  6,8      d)   15 ,18

2. The  numbers13 and 31 are prime numbers . Both of these numbers have same digits 1 and 3 . Find such pairs of prime numbers up to 100.

3. Write seven consecutive composite numbers less than 100 so that there is no prime number between them.

4.A number is divisible by 3 and 8 both . By which other number will that number is always divisible?

5.The product of 3 consecutive numbers is always divisible by 6? verify this statement with help of some examples.

6. In each of the following numbers , replace * by the smallest number to make it divisible by 9

a) 2*135       b)   6678*1         c) 385*356

7. In which of the following numbers,replace * by the smallest number to make it divisible by 11

a) 467*91         b)   1723*4           c)   9*8071         d) 39*43

8. Express the greatest 5-digit number as product of primes.

9. What do you mean by perfect numbers ? write any 3 perfect numbers with proper verification.

10. write as many as as possible pairs of prime numbers less than 50 but more than 20 whose sum is divisible by 5.

11. verify that sum any two odd numbers is always multiple of 4.

12.Which of the following are prime numbers?

a) 193                            b)  497       c)  253        d)    323

13. find the greatest 5- digit number which when divided by 20 ,24 , 45 leaves remainder 18 in each case.

14. find the smallest number which is when divided by 20,25,35 and 40 leaves a remainder of 14,19,29,34 respectively.

REFER DIFFERENT MATHEMATICS BOOKS AND DO MORE QUESTIONS BASED ON THIS CHAPTER. 

Multiplication Table

x	0	1	2	3	4	5	6	7	8	9	10	11	12
0	0	0	0	0	0	0	0	0	0	0	0	0	0
1	0	1	2	3	4	5	6	7	8	9	10	11	12
2	0	2	4	6	8	10	12	14	16	18	20	22	24
3	0	3	6	9	12	15	18	21	24	27	30	33	36
4	0	4	8	12	16	20	24	28	32	36	40	44	48
5	0	5	10	15	20	25	30	35	40	45	50	55	60
6	0	6	12	18	24	30	36	42	48	54	60	66	72
7	0	7	14	21	28	35	42	49	56	63	70	77	84
8	0	8	16	24	32	40	48	56	64	72	80	88	96
9	0	9	18	27	36	45	54	63	72	81	90	99	108
10	0	10	20	30	40	50	60	70	80	90	100	110	120
11	0	11	22	33	44	55	66	77	88	99	110	121	132
12	0	12	24	36	48	60	72	84	96	108	120	132	144