Class 10 Maths Chapter 1 Test Paper with Solution PDF Download
Are you looking for a test paper with solution PDF for Class 10 Maths Chapter 1? If yes, then you have come to the right place. In this article, we will provide you with a free test paper and solution PDF for Class 10 Maths Chapter 1, which covers all the important topics and concepts of this chapter. You can download the test paper and solution PDF from the links given below and practice them at your convenience.
Introduction
Chapter 1 of Class 10 Maths is about Real Numbers. In this chapter, you will learn about some basic properties of real numbers, such as Euclid's Division Lemma, Fundamental Theorem of Arithmetic, irrational numbers, decimal expansion of rational numbers, LCM and HCF. These concepts are very useful for solving various problems related to number theory, algebra, geometry, and arithmetic.
class 10 maths chapter 1 test paper with solution pdf download
Practicing test papers is one of the best ways to revise and prepare for your exams. Test papers help you to assess your strengths and weaknesses, improve your speed and accuracy, and boost your confidence. They also expose you to different types of questions that can be asked in your exams and help you to develop your problem-solving skills.
To download the test paper and solution PDF for Class 10 Maths Chapter 1, you just need to click on the links given below. The test paper is in PDF format and contains 30 questions divided into three sections: Section A (Objective Type Questions), Section B (Short Answer Type Questions), and Section C (Long Answer Type Questions). The solution PDF contains detailed step-by-step explanations for each question along with the correct answers. You can view or download the test paper and solution PDF on any device that supports PDF files.
Test Paper
Section A (Objective Type Questions)
Multiple Choice Questions
Choose the correct option from the given alternatives.
Q1. Which of the following is an irrational number?(a) 25(b) 36(c) 49(d) 50
Q2. If a and b are two positive integers such that a > b, then Euclid's Division Lemma states that there exist unique integers q and r such that(a) a = bq + r(b) b = aq + r(c) a = qb + r(d) b = qa + r
Q3. The Fundamental Theorem of Arithmetic states that every composite number can be expressed as a product of(a) even primes(b) odd primes(c) distinct primes(d) prime powers
> (c) terminating or non-terminating repeating(d) non-terminating non-repeating
Q5. The LCM and HCF of two positive integers a and b are related by the formula(a) LCM HCF = a + b(b) LCM HCF = a - b(c) LCM HCF = a b(d) LCM HCF = a b
Fill in the Blanks
Fill in the blanks with the appropriate words or numbers.
Q6. The number 2 is an example of a __________ number.
Q7. If two positive integers a and b are co-prime, then their HCF is __________.
Q8. The decimal expansion of 1/3 is __________.
Q9. The product of two consecutive positive even integers is always divisible by __________.
Q10. The smallest composite number is __________.
True or False
State whether the following statements are true or false.
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class 10 maths chapter
Q11. Every whole number is a natural number.
Q12. Every irrational number is a real number.
Q13. Every prime number is odd.
Q14. Every rational number has a unique decimal expansion.
Q15. Every composite number has at least three factors.
Section B (Short Answer Type Questions)
Questions based on Euclid's Division Lemma
Solve the following questions using Euclid's Division Lemma.
Q16. Find the HCF of 56 and 96.
Q17. Find the largest number that divides 245 and 1029 leaving remainders 5 and 7 respectively.
Q18. Show that any positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.
Q19. Show that one and only one out of n, n + 2, n + 4 is divisible by 3, where n is any positive integer.<
<td /tr /tr /tr /tr /tr /h4 /h3 /h3 /h3 /h3 /h3 /h3 /h3 /h3 Questions based on Fundamental Theorem of Arithmetic
Solve the following questions using Fundamental Theorem of Arithmetic.
> td>Q20. Express 5005 as a product of its prime factors.
Q21. Find the LCM of 12, 15 and 21 using prime factorisation method.
Q22. Find the smallest number that is divisible by each of the numbers 4, 9 and 10.
Q23. Prove that 3 is an irrational number.
Q24. Prove that 7^(2n + 1) + 8^(2n) is divisible by 57 for all positive integers n.
Questions based on Irrational Numbers
Solve the following questions related to irrational numbers.
Q25. Simplify (2 + 3)(2 - 3).
Q26. Rationalise the denominator of 1/(5 - 2).
Q27. Find the value of x if (x + 2)(x - 2) = 3.
Q28. Find two irrational numbers between 2 and 3.
Q29. Represent 2 on the number line using Pythagoras Theorem.
Section C (Long Answer Type Questions)
Questions based on Decimal Expansion of Rational Numbers
Solve the following questions related to decimal expansion of rational numbers.
Q30. Find the decimal expansion of 3/8 and write it in the form of p/q, where p and q are integers and q 0.</ <td <td /tr /tr /tr /tr /tr /h4 /h3 /h3 /h3 /h3 /h3 Questions based on LCM and HCF
Solve the following questions related to LCM and HCF.
> td>Q31. Find the LCM and HCF of 6, 9 and 15 by the prime factorisation method. Verify that LCM HCF = product of the three numbers.
Q32. The traffic lights at three different road crossings change after every 48 seconds, 72 seconds and 108 seconds respectively. If they change simultaneously at 8 a.m., at what time will they change simultaneously again?
Q33. A rectangular courtyard is 18 m long and 12 m wide. It is to be paved with square tiles of the same size. Find the least possible number of tiles required to pave the courtyard.
Q34. A sweetseller has 420 kaju barfis and 130 badam barfis. He wants to stack them in such a way that each stack has the same number, and they take up the least area of the tray. What is the maximum number of barfis that can be placed in each stack for this purpose?
Q35. Two water taps together can fill a tank in 9(3/8) hours. The tap with longer diameter takes 10 hours less than the tap with smaller one to fill the tank separately. Find the time in which each tap can fill the tank separately.
Solution PDF
How to access the solution PDF?
To access the solution PDF for Class 10 Maths Chapter 1 Test Paper, you just need to click on the link given below. The solution PDF is in PDF format and contains detailed step-by-step explanations for each question along with the correct answers. You can view or download the solution PDF on any device that supports PDF files.
How to use the solution PDF effectively?
To use the solution PDF effectively, you should follow these tips:
First, attempt the test paper on your own without looking at the solution PDF.
Next, check your answers with the solution PDF and mark your mistakes.
Then, understand the logic and method behind each solution and try to correct your mistakes.
Finally, revise the concepts and formulas related to Chapter 1 and practice more questions from other sources.
Benefits of the solution PDF
The solution PDF for Class 10 Maths Chapter 1 Test Paper has many benefits, such as:
It helps you to verify your answers and improve your accuracy.
It helps you to clear your doubts and enhance your understanding.
It helps you to learn from your mistakes and avoid them in future.
It helps you to gain confidence and score well in your exams.
Conclusion
In this article, we have provided you with a free test paper and solution PDF for Class 10 Maths Chapter 1, which covers all the important topics and concepts of this chapter. We hope that you have found this article useful and informative. By practicing this test paper and solution PDF, you can revise and prepare well for your exams. You can also download more test papers and solution PDFs for other chapters of Class 10 Maths from our website.
Here are some tips for scoring well in Chapter 1:
Revise all the definitions, properties, formulas, and examples related to real numbers, Euclid's Division Lemma, Fundamental Theorem of Arithmetic, irrational numbers, decimal expansion of rational numbers, LCM and HCF.
Solve different types of questions based on these concepts and apply them in various situations.
Practice more objective type questions as they are more likely to be asked in your exams.
Write your answers neatly and clearly with proper steps and explanations.
Avoid making silly mistakes in calculations and units.
FAQs Q2. What is an irrational number?A2. An irrational number is a number that cannot be expressed as a ratio of two integers. It has a non-terminating and non-repeating decimal expansion. Some examples of irrational numbers are 2, 3, π, e, etc.
Q3. What is the difference between LCM and HCF?A3. LCM stands for Least Common Multiple and HCF stands for Highest Common Factor. LCM of two or more numbers is the smallest positive number that is divisible by all of them. HCF of two or more numbers is the largest positive number that divides all of them. For example, LCM of 12 and 15 is 60 and HCF of 12 and 15 is 3.
Q4. What is Euclid's Division Lemma?A4. Euclid's Division Lemma is a statement that says that if a and b are two positive integers such that a > b, then there exist unique integers q and r such that a = bq + r, where 0 r
Q5. What is the Fundamental Theorem of Arithmetic?A5. The Fundamental Theorem of Arithmetic is a statement that says that every composite number can be expressed as a product of prime factors in a unique way, except for the order of the factors. For example, 12 can be written as 2 2 3 or 3 2 2, but these are not considered different factorisations.
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