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Class 9 Maths MCQ’s Chapter 1 Number System for unit tests & CBSE Board Exam 2021

class 9 Maths MCQ for chapter 1 number system

 

The research team of the Future Study Point has selected 13 important questions of the chapter 1 Number system for class 9 CBSE students which are helpful in preparation of their next exams and unit tests. The purpose of these maths MCQ’s solutions of chapter 1 Number system is to upgrade your maths knowledge which is required for the study of higher class maths.We hope the solutions of maths MCQ.s of the chapter 1 Number system will clear your concept of maths clearly and boost your preparation of maths tests and exams.

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NCERT Solutions of class 9 maths

Chapter 1- Number System Chapter 9-Areas of parallelogram and triangles
Chapter 2-Polynomial Chapter 10-Circles
Chapter 3- Coordinate Geometry Chapter 11-Construction
Chapter 4- Linear equations in two variables Chapter 12-Heron’s Formula
Chapter 5- Introduction to Euclid’s Geometry Chapter 13-Surface Areas and Volumes
Chapter 6-Lines and Angles Chapter 14-Statistics
Chapter 7-Triangles Chapter 15-Probability
Chapter 8- Quadrilateral

Class 9 Maths MCQ’s Chapter 1 Number System for unit tests & CBSE Board Exam 2021

Q1. The value of       

Ans.(d) 

Q2. Find the value of   

(a) 8/15      (b) 2/9      (c) 9/125     (d) 3/5

Ans. (d) 3/5

Q3. Find the value of   

(a) 1/18       (b) 1/3         (c) 27        (d) 81

Ans. (b) 1/3

Q4. Find the value of   

(a) 1        (b) -1         (c) 671         (d) 5/6

Ans. (a) 1

= 6 – 5 = 1

 

Q5. Which of the following number is an irrational number ?

(a) √25 – 5       (b) (2 -√2)(2 + √2)      (c) √7 + 2      (d) -√625

Ans. (c) √7 + 2

The sum of an irrational number and a rational number is an irratioal number ,√7 is an irrational number and 2 is rational,therefore √7 + 2 is an irrational number.

Q6. The decimal expansion of √3 is

(a) Finite decimal     (b) 1.7321      (c) non-terminating recurring  (d) non -terminating non-recurring

Ans.(d) non-terminating non-recurring

√3 is a surd and every surd is a non -terminating non-recurring decimal or an irrational number

Q7. If x = √3/2   and 7/x = K√3, then the value of K is

(a) 7/√3         (b) 14/3       (c) √7/3      (d) 3/14

Ans. (b) 14/3

We are given x = √3/2 and 7/x = K√3

Putting the value x =√3/2 in equation 7/x = K√3

7/√3/2 = K√3

K = (7×2)/(√3×√3) = 14/3

Q8. The sum of 0.5555….. and 0.6666….. is

(a) 11/9      (b) 7/9        (c) 7/10        (d) 5/99

Ans. (a) 11/9

Writting 0.5555… and 0.6666…. in the form of P/Q

Let x = 0.5555….(i) and y = 0.6666….(ii)

10 x = 5.555……(iii) and 10 y = 6.666…(iv)

Subtracting equation (i) from equation (iii) and equation (ii) from equation (iv)

9x = 5 and 9y = 6

x = 5/9 and y = 6/9

∴ x + y = 5/9 + 6/9 = 11/9

Q9. √24 ×√32 is equal to

(a) 16√3       (b) 8√6        (c) 24√3        (d) 32√3

Ans.(a) 16√3

√24 ×√32

√[(2×2×2×3) ×(2×2×2×2×2)]

2×2×2×2√3 = 16√3

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Q10. Find the value of (100 +50 )/1000

(a) 2       (b) 0       (c) 3/20      (d) 5/100

Ans. (a) 2

(100 +50 )/1000  = (1 +1)/1 = 2/1 = 2

Q11. A rational number lying between √2 and √3

(a) 3/2       (b) √6         (c) (√2 +√3)/2       (d) 1.8

Ans. 3/2

The decimal expansion of √2 upto one place is = 1.4 and of √3 =1.7

Among all alternatives the value of 3/2 = 1.5 is between √2 and √3

Q12. The ascending order of the value      is

                      

Ans. The given surds are

Converting them into exponents

Writting the equivalent fraction of their power (i.e 1/2,1/3 and 1/4) = 6/12, 4/12 and 3/12

Now, the exponent forms of the given surds become

Writting them in the form of surds

All the surds are of the same order,now we can compare them by calculating their exponential part

729, 154 and 216

Q13. The value of a and b in (3 – 2√2)/(3 + 2√2) = a + b√2 is

Ans. (3 -2√2)/(3 +2√2) =a + b√2

Multiplying the denominator and numerator by the conjugate of the denominator (3 – 2√2)

(3 -2√2)(3 -2√2)/(3 +2√2)(3 -2√2) = a + b√2

Applying the identity (x -y)² = x² +y² -2xy and x² – y² = (x + y)( x -y)

(9 + 8 – 12√2)/(9 – 8) = a + b√2

17 + (-12 √2) = a + b√2

Comparing LHS and RHS

a = 17, b = -12

These Maths MCQ questions are helpful for 9 class exams as well as for competitive entrance exams like Bank, CPO, Railways, Army, etc. We hope you would have liked the post, for any type of update information please subscribe our web site, here you can study NCERT Solutions, solution of previous year’s question papers and sample papers and our blogs on a different topic of science, physics, chemistry, biology, and maths.

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Chapter 1-Matter in our surroundings Chapter 9- Force and laws of motion
Chapter 2-Is matter around us pure? Chapter 10- Gravitation
Chapter3- Atoms and Molecules Chapter 11- Work and Energy
Chapter 4-Structure of the Atom Chapter 12- Sound
Chapter 5-Fundamental unit of life Chapter 13-Why do we fall ill ?
Chapter 6- Tissues Chapter 14- Natural Resources
Chapter 7- Diversity in living organism Chapter 15-Improvement in food resources
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Chapter 1-Real number Chapter 9-Some application of Trigonometry
Chapter 2-Polynomial Chapter 10-Circles
Chapter 3-Linear equations Chapter 11- Construction
Chapter 4- Quadratic equations Chapter 12-Area related to circle
Chapter 5-Arithmetic Progression Chapter 13-Surface areas and Volume
Chapter 6-Triangle Chapter 14-Statistics
Chapter 7- Co-ordinate geometry Chapter 15-Probability
Chapter 8-Trigonometry

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Chapter 1- Chemical reactions and equations Chapter 9- Heredity and Evolution
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Chapter 4- Carbon and its Compounds Chapter 12- Electricity
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Chapter 1-Sets Chapter 9-Sequences and Series
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Chapter 1-Relations and Functions Chapter 9-Differential Equations
Chapter 2-Inverse Trigonometric Functions Chapter 10-Vector Algebra
Chapter 3-Matrices Chapter 11 – Three Dimensional Geometry
Chapter 4-Determinants Chapter 12-Linear Programming
Chapter 5- Continuity and Differentiability Chapter 13-Probability
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