CLASS 10 · Math · CHAPTER PRACTICE

Class 10 Maths: Real Numbers Olympiad Questions

Build your understanding of Real Numbers, try the sample questions, and review your answers at your own pace.

UNDERSTAND THE CONCEPTS

Real numbers are the complete set of rational or irrational numbers. The real numbers are denoted by R.

Every rational & irrational number is a real number. Natural numbers, whole numbers, and integers are other parts of the number system.

Rational number

  • Rational numbers are such numbers that can be presented in the p/q form.
  • In the rational number form q is not equal to zero.
  • The representation symbol of a rational number is Q.
  • In two rational numbers, there are infinite rational numbers.
  • All integers are rational numbers.
  • But all rational numbers are not integers.

Natural number

  • The number starts from 1 and moves on to infinite numbers.
  • The natural numbers are presented by N.

Whole number

  • The number starts from 0, 1, 2, and moves on.
  • The whole numbers are presented by W.

Integers

  • The integers are the complete set of positive and negative numbers.
  • The integers are represented by Z.

Prime number

  • The number can be divided by one and by itself.
  • There are two factors of prime numbers.
  • And 1 is not a prime number.
WATCH AND LEARN

Class 10 Real Numbers learning videos

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LEARN BY DOING

Free Real Numbers Olympiad Questions for Class 10

5 questions to build confidence. Choose an answer, then explore the explanation.

01

Carrie wished to build a rectangular dog run along the side of her garage. The garage will serve as one side of the fence. If she has 180 feet of fencing and wishes the fence to be 4 times as long as it is wide, how many square feet will the fencing enclose?

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Answer: C. 3600

Perimeter fencing covers three sides: 2w+l=180 and l=4w, so 6w=180, w=30, l=120. Area=30×120=3600.

02

What is the explicit function of the geometric sequence 3, 4.5, 6.75, ...?

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The answer key for this sample question is not available yet.

03

Factor the expression.x^4 - y^4

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The answer key for this sample question is not available yet.

04

Factor by finding the GCF (Greatest Common Factor).3x+9y

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The answer key for this sample question is not available yet.

05

A student took 60 minutes to answer a combination of 20 multiple choice and extended-response questions. She took 2 minutes to answer each multiple choice and 6 minutes to answer each extended response. How many extended response questions were on the test?

Show answer & explanation

Answer: B. 5

Let x be extended-response questions. Then 2(20 - x) + 6x = 60, so x = 5.

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