Chapter 2 (Balbharati) · Class 9 Maharashtra SSC · Worksheet

Real Numbers (वास्तविक संख्या) Worksheet — Class 9 Maharashtra SSC Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

Download Full PDF Worksheet

30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

Download Full PDF

Sample Questions — Real Numbers (वास्तविक संख्या)

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

Q1.Which of the following statements is TRUE?

A.Every irrational number is a real number.

B.Every real number is an irrational number.

C.Every rational number is an integer.

D.Every integer is a whole number.

Difficulty: Easy

Q2.Ravi states that the decimal expansion of 7/8 is 0.875, and the decimal expansion of 1/3 is 0.333... (non-terminating repeating). Based on this, he concludes that 7/8 is a rational number and 1/3 is an irrational number. Is Ravi's conclusion correct?

A.Both conclusions are correct.

B.7/8 is rational, but 1/3 is also rational.

C.7/8 is irrational, but 1/3 is rational.

D.Both numbers are irrational.

Difficulty: Easy

Q3.To represent √5 on the number line, a student first draws a right-angled triangle OAB with OA = 2 units and AB = 1 unit, where A is on the x-axis and O is the origin. What is the next logical step?

A.Draw an arc with center A and radius OA to intersect the number line.

B.Draw an arc with center O and radius OB to intersect the number line.

C.Draw an arc with center B and radius AB to intersect the number line.

D.Draw an arc with center O and radius AB to intersect the number line.

Difficulty: Easy

Q4.If 'x' is a rational number and 'y' is an irrational number, which of the following statements is ALWAYS TRUE?

A.x + y is an irrational number.

B.x × y is a rational number.

C.y × y is an irrational number.

D.x / y is a rational number.

Difficulty: Easy

Q5.How many rational numbers can exist between any two distinct rational numbers?

A.Exactly one

B.Exactly two

C.Finitely many

D.Infinitely many

Difficulty: Easy

Q6.A student states: 'The number 0.1010010001... (where the number of zeros increases by one each time) is a rational number because it follows a pattern.' Identify the error in the student's reasoning.

A.The number is indeed rational; there is no error.

B.A rational number must have a repeating block of digits, not just a pattern of increasing zeros.

C.A rational number must have a terminating decimal expansion.

D.The number is an integer, not a rational number.

Difficulty: Easy

Q7.Which of the following correctly describes the set of real numbers?

A.All integers and fractions.

B.All numbers whose square is positive.

C.All numbers that can be written as p/q.

D.The union of rational and irrational numbers.

Difficulty: Easy

Q8.A number whose decimal expansion is non-terminating and non-repeating is classified as a/an _______ number.

A.Irrational

B.Integer

C.Rational

D.Whole

Difficulty: Easy

Answer Key — Sample Questions+

Q1:Every irrational number is a real number.

Q2:7/8 is rational, but 1/3 is also rational.

Q3:Draw an arc with center O and radius OB to intersect the number line.

Q4:x + y is an irrational number.

Q5:Infinitely many

Q6:A rational number must have a repeating block of digits, not just a pattern of increasing zeros.

Q7:The union of rational and irrational numbers.

Q8:Irrational

Download the full PDF for all 30 answers with step-by-step solutions.