Selina solutions concise mathematics class 6 icse Solutions for Chapter 9 playing with numbers

Exercises in Chapter 9 playing with numbers Grade 6

Exercise 9(A)

Exercise 9(B)

Exercise 9(C)

Questions in Exercise 9(A)

Q1) $19-(1+5)-3$

Q2) $30\times6\div(5-2)$

Q3) $28-(3\times8)\div6$

Q4) $9-[(4-3)+2\times5]$

Q5) $[18-(15\div5)+6]$

Q6) $[(4\times2)-(4\div2)]+8$

Q7) $48+96\div24-6\times18$

Q8) $22-[3-\left\{8-(4+6)\right\}]$

Q9) $34-\left[29-\left\{30+66\div\left(24-\overline{28-26}\right)\right\}\right]$

Q10) $60-\left\{16+(4\times6-8)\right\}$

Q11) $25-\left[12-\left\{5+18\div\left(4-\overline{5-3}\right)\right\}\right]$

Q12) $15-[16-\left\{12+21\div(9-2)\right\}]$

Questions in Exercise 9(B)

Q1)Fill in the blanks :

(i) On dividing 9 by 7, quotient = …………. and remainder = ……….

(ii) On dividing 18 by 6, quotient = …………. and remainder = ………….

(iii) Factor of a number is ………….. of …………..

(iv) Every number is a factor of …………….

(v) Every number is a multiple of …………..

(vi) …………. is factor of every number.

(vii) For every number, its factors are ………… and its multiples are …………..

(viii) x is a factor of y, then y is a ………… of x.

Q2)Write all the factors of :

(i) 16

(ii) 21

(iii) 39

(iv) 48

(v) 64

(vi) 98

Q3)Write the first six multiples of :

(i) 4

(ii) 9

(iii) 11

(iv) 15

(v) 18

(vi) 16

Q4)The product of two numbers is 36 and their sum is 13. Find the numbers.

Q5)The product of two numbers is 48 and their sum is 16. Find the numbers.

Q6) Write two numbers which differ by 3 and whose product is 54.

Q7)Without making any actual division show that 7007 is divisible by 7.

Q8) Without making any actual division, show that 2300023 is divisible by 23.

Q9)Without making any actual division, show that each of the following numbers is divisible by 11.

(i) 11011

(ii) 110011

(iii) 11000011

Q10)Without actual division, show that each of the following numbers is divisible by 8 :

(i) 1608

(ii) 56008

(iii) 240008

Questions in Exercise 9(C)

Q1)Find which of the following numbers are divisible by 2 :

(i) 352

(ii) 523

(iii) 496

(iv) 649

Q2)Find which of the following number are divisible by 4 :

(i) 222

(ii) 532

(iii) 678

(iv) 9232

Q3)Find the which of the following numbers are divisible by 8 :

(i) 324

(ii) 2536

(iii) 92760

(iv) 444320

Q4)Find which of the following numbers are divisible by 3 :

(i) 221

(ii) 543

(iii) 28492

(iv) 92349

Q5)Find which of the following numbers are divisible by 9 :

(i) 1332

(ii) 53247

(iii) 4968

(iv) 200314

Q6)Find which of the following number are divisible by 6 :

(i) 324

(ii) 2010

(iii) 33278

(iv) 15505

Q7)Find which of the following numbers are divisible by 5 :

(i) 5080

(ii) 66666

(iii) 755

(iv) 9207

Q8)Find which of the following numbers are divisible by 10 :

(i) 9990

(ii) 0

(iii) 847

(iv) 8976

Q9)Find which of the following numbers are divisible by 11 :

(i) 5918

(ii) 68,717

(iii) 3882

(iv) 10857

Q10)Find which of the following numbers are divisible by 15 :

(i) 960

(ii) 8295

(iii) 10243

(iv) 5013

Q11)In each of the following numbers, replace M by the smallest number to make resulting number divisible by 3 :

(i) 64 M 3

(ii) 46 M 46

(iii) 27 M 53

Q12)In each of the following numbers replace M by the smallest number to make resulting number divisible by 9.

(i) 76 M 91

(ii) 77548 M

(iii) 627 M 9

Q13)In each of the following numbers, replace M by the smallest number to make resulting number divisible by 11.

(i) 39 M 2

(ii) 3 M 422

(iii) 70975 M

(iv) 14 M 75

Q14)State, true or false :

(i) If a number is divisible by 4. It is divisible by 8.

(ii) If a number is a factor of 16 and 24, it is a factor of 48.

(iii) If a number is divisible by 18, it is divisible by 3 and 6.

(iv) If a divide b and c completely, then a divides (i) a + b (ii) a – b also completely.

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Chapters in this book

Number System (Consolidating the Sense of Numberness)

Estimation

Numbers in India and International System (With Comparison)

Place Value

Natural Numbers and Whole Numbers (Including Patterns)

Negative Numbers and Integers

Number Line

HCF and LCM

Playing with Numbers

Sets

Ratio

Proportion (Including Word Problems)

Unitary Method

Fractions

Decimal Fractions

Percent (Percentage)

Idea of Speed, Distance and Time

Fundamental Concepts (Algebra)

Fundamental Operations (Related to Algebraic Expressions)

Substitution (Including Use of Brackets as Grouping Symbols)

Framing Algebraic Expressions (Including Evaluation)

Simple (Linear) Equations (Including Word Problems)

Fundamental Concepts (Geometry)

Angles (With their Types)

Properties of Angles and Lines (Including Parallel Lines)

Triangles (Including Types, Properties and Construction)

Quadrilateral

Polygons

The Circle

Revision Exercise on Symmetry (Including Constructions on Symmetry)

Recognition of Solids

Perimeter and Area of Plane Figures

Data Handling (Including Pictograph and Bar Graph)

Mean and Median