CBSE Mathematics Worksheet 1

 

1.      Find the digit present in the thousands place in the product

a.      (11011÷ 11) X 7,000 = ____________

b.      (121÷ 11) X 8,000 = ____________

c.       (12310÷ 11) X 9,000 = ____________

d.      (12221÷ 121) X 6,000 = ____________

2.      Sum total of  the smallest and the  greatest four digit numbers formed by without repeating any digits twice is ___________ more  than the smallest five digit number.

3.       432 hundreds + 232 tens + 32 ones  = __________________ .

4.      9,876 + 1,023 + fifth multiple of 2,002  = ______________.

5.      Difference of digits of a two digit number is 7. if digits are reversed then sum total of both the number becomes the predecessor of the three digit smallest number. Find the second multiple of this number.

6.      Compare the place value of 3 in 2,309 and 3,283. Find the difference of both the place values of 3. The difference is the _(____) ^th multiple of 100.

7.       121, 169 and 219 have following things in common:

I. All these numbers are square numbers.

II. These are square numbers of odd primes.

III. These numbers have equal numbers of    prime factors.

Select which of the statements mentioned above are true.

A: Only I                      B: Only II         C: Both I and III           D: All I, II and III

 

8.      Complete the Prime factorisation:

a)  141 = _____            X___;

b) 84 = ________________;

c) 363 = _________ X _________ ;   

d) 3,000 = 2 X 2 X 2 X _____________          

e) 729 = __ X __X___ X ___X___;      

f) _________ = 89 X 11

9.      In the calculation table depicted below numbers are related to each other. Find their inter relations and also identify missing numbers.

10.  32 X 10,000 = _________ X 16  = ________ X 8.

11.  8^th multiple of 16 is ______________ multiple of 32.

12.  9^th multiple of 11 is _______ multiple of 9.

13.  After subtracting _______ we can obtain 3^rd multiple of 13 from the 4^th multiple of 10.

14.  Complete the following:

a)      1,  4,  9,  __i___, __ii___, ___iii___;

b)      i X ii + iii = _______________

c)      1, 8, 27, _______, __________ , _____________ .

d)      121, _______, __________ , ___________ 161.

e)      64, _______, ______ , _______ , 16, 9.

15.   Product of all the factors of 6 = _________

A: 36                            B: 12                C: 18                            D: 24

16.  Some of the statements regarding prime and composite numbers are given below.

I :         1 is not a prime or composite number.

II :        Two is the only even prime number.

III:        All odd numbers are not prime.

IV: All composite numbers can be written as  product of prime numbers.

V: 101 has only two factors 1 and the number itself. That is why it is a prime number

Which of the above statements are true?

A: Only I                      B: All                C: I, II and III                D: Only II, III and IV

17.  The floor of a room a hotel is 12 m long and 10 m wide. 45 tiles of 1 m square was in stock. Tiles come in market in pack of ten tiles. How many more 1m square tiles does the manager need to completely cover the floors of three such rooms?

I: 15 tiles more than 30 full pack       

II: 5 tiles more than 31 full pack        

III: 25 tiles more than 29 full pack     

IV: 50 tiles more than 25 full pack

Select your answers

A: Only I                      B: Only II         C: I, II and III                D: Only IV

18.  A regular pentagon has __a___ lines of symmetry less than a hexagon. It has _____b _____ lines of symmetry more than an equilateral triangle. Both square and equilateral triangle has __ c__ lines of symmetry in all.

            a          b          c

A:         1          2          7         

B:         2          4          8         

C:         1          2          3         

D:         2          4          6

19.  Complete the expansion in Indo-Arabic Numeration

98,76,54,321 = 90,00,00,000 + 8,00,00,000 + ___+ 6,00,000  + 50,000 + _____+ 300 + 20 + 1

20.  There are two combinations of packs containing pens and pencils. Packet one containing 6 pens and 5 pencils costs Rs 128. Packet B containing 5 pens and 6 pencils costs Rs 103. Calculate the cost of a new pack containing 10 pens and 10 pencils of such type?

A: Rs. 250                    B: Rs. 120        C:  Rs. 135                   D: Rs. 210

21.  What fraction of all the natural numbers starting from 1 to 20,000 are multiples of 20?

Mental Mathematics Class 4

 

Mental Mathematics Class IV

Chandan Sengupta.

This workbook contains some activity sheets and reference worksheets suitable for the students of Grade 4. It is also suitable for aspirants preparing for Olympiads and other such enrichment activities. Answer sheets with explanations are there in a separate sheet. It will enable parents and teachers for organizing the task in a better way. I am confident enough about the competence of fellow students having willingness to move up to the final stage of the Mathematics Enrichment Activities of various stages. There are different worksheets in accord to the time of studies that can be assigned to the fellow student. Answers are in a separate sheet paper that can be kept at different place. Parents and teachers use this book of activities to develop interest of students on mathematical as well as analytical skills. Questions are there without respective answers. It can be obtained from the source. There exists a plan of fulfilling dual purpose of the effort. These sets can be utilized to engage a student for working out the possible outputs without being inflicted primarily with answers.

If answers are provided alongside the questions then the material will fulfill half of the purpose. It cannot contingent for overcoming the problems and also cannot facilitate in skill enhancement efforts. Set of questions can be used for the purpose of assessing skill acquisition process and also can be assigned to the ward by parents and guide. Most of the worksheets are from regular classroom studies. Some of the worksheets are from Olympiads and other challenging examinations. We always keep a balance between higher order challenges and lower order assignments. It will enhance the participatory skill of the fellow student and also build up the competency pattern required for gaining mastery in mathematics. All practice and guidance efforts should be guided. That is why answers are not incorporated with this volume. There is a separate volume having all the answers and other needful assistance for teachers. We can use some standard technique to correlate the memory and skill related to mathematical operations for facilitating proper and timely linkage of previous foundation with those of newly developed skill formation. We can use the worksheets and activities given in this workbook for providing an additional exposure to fellow students. Mixture of content areas will make it easy for the fellow student to grasp through it easily. Normal confluence of such practice session will also seed up the pace of learning.

We will start this process along with some revision works.

Chandan Sukumar Sengupta

Author

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NCERT Mathematics Companion Class 4

 

NCERT Mathematics Companion IV

For CBSE, ICSE, GCSE, State Boards, Olympiads and Talent Search

 

 Chandan Sengupta

Creative Learning Series

NCERT Mathematics Companion IV

Chandan Sengupta.

 

This workbook is designed to enhance the competencies of fellow students through allowing them to revitalise their skills through extended practices. All the problems duly incorporated in this collection are of such type that they create an interest of learning in them. By doing so fellow students make themselves absolutely fit for taking different types of higher challenges.

General mathematics is a subject area through which a student exposes oneself to other spheres of the correlated content areas duly indicated in the prescribed curriculum. This collection is primarily meant for students of grade six of most of the balanced curriculum duly prescribed by different boards. It can be considered more suitable for aspirants having affinity to opt for some higher challenges. One can even consider this collection for Olympiads and various other foundation courses.

This workbook contains some activity sheets and reference worksheets suitable for the students of Grade 6. It is also suitable for aspirants preparing for Olympiads and other such enrichment activities.

                Answer sheets with explanations are there in a separate booklet. It will enable parents and teachers for organizing the task in a better way. I am confident enough about the competence of fellow students having willingness to move up to the final stage of the Mathematics Enrichment Activities of various stages. There are different worksheets in accord to the time of studies that can be assigned to the fellow student. Answers are in a separate sheet paper that can be kept at different place. Parents and teachers use this book of activities to develop interest of students on mathematical as well as analytical skills.

Most of the calculations duly involved in these activities are of common types. One can do it with a little bit easiness

The core of the curriculum represents the format of most of the school curriculum we have in practice at different boards. Most of the parts are from School level formats of general types.

Main topics incorporated in this practice book are as follows:

1.     Understanding numbers in their standard form and expanded form.

2.     Decimals and fractions.

3.     Ratio, proportion and percentage.

4.     Everyday mathematics.

5.     Divisibility rules, factors, multiples and prime numbers.

6.     Lines, rays, line segments , angles and basic shapes.

7.     Data handling, bar graphs, pie charts.

8.     Measurements: Length, outer boundaries and areas.

9.     General Understanding of Basic Shapes and three dimensional objects.

10.   Inter-conversion of decimals, fractions and percentage.

11.   Problem solving abilities.

Questions are there without respective answers. It can be obtained from the source. There exists a plan of fulfilling dual purpose of the effort. These sets can be utilized to engage a student for working out the possible outputs without being inflicted primarily with answers.

If answers are provided alongside the questions then the material will fulfill half of the purpose. It cannot contingent for overcoming the problems and also cannot facilitate in skill enhancement efforts.

Set of questions can be used for the purpose of assessing skill acquisition process and also can be assigned to the ward by parents and guides.

It is not mandatory to go through all sets of problems, but not to skip any of the problems is recommended for assuring the perfect skill acquisition.

Author

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