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ATP EducationUnit Test Paper 2026-27 Mathematics Class 10 Chapter 1 Real Numbers
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Unit Test Paper 2026-27 Mathematics Class 10 Chapter 1 Real Numbers
1 Real Numbers
Unit test - I
Unit test - I-1 Real Numbers
ATP Model Unit Test
Mathematics (X)
Real Numbers
Timing: 1 hour unit-1 M. M - 20
MCQ: 1 mark SECTION – A
Q1. When we apply Euclid’s division lemma, to c and d. So, we find whole numbers, q and r such that c = dq + r, 0 ≤ r < d. then
जब हम संख्या c और d पर यूक्लिड विभाजन लेम्मा का प्रयोग करते है, हम पूर्ण संख्या
q तथा r इसप्रकार पाते है कि c = dq + r, जहाँ 0 ≤ r < d तब;
(a) c > d (b) c < d (c) c ≥ d (d) c ≤ d
Q2. For any two positive number x = 23 × 32 × 5 and y = 22 × 35 × 7
then HCF (x, y) will be
किसी दो धनात्मक संख्या के लिए जहाँ x = 23 × 32 × 5 तथा y = 22 × 35 × 7 है,
तब HCF (x, y) होगा
(a) 22 × 32 (b) 23 × 35 (c) 23 × 32 × 5 (d) 22 × 35 × 7
Q3. Which is not an irrational number?
कौन-सा अपरिमेय संख्या नहीं है ?
(a) 2 + √ 3
(b) √ 7 – (√ 7 + 3)
(c) (3 - 2√ 7) -√ 7
(d) 3 - √ 5
(a) Terminating (b) Non-terminating recurring
(c) Non-terminating non-recurring (d) None of these
Q5. HCF (13, 19) will be;
HCF (13, 19) होगा;
(a) 65 (b) 190 (c) 1 (d) 130
2 marks Questions:
Q6. HCF (306, 657) = 9, find LCM (306, 657).
HCF (306, 657) = 9 तो LCM (306, 657) ज्ञात कीजिये |
Q7. Show that 5 × 3 × 7 × 2 + 7 is a composite number.
दर्शाइए कि 5 × 3 × 7 × 2 + 7 एक भाज्य संख्या है |
3 marks Questions:
Q8. Prove that 2 - √3 is an irrational number.
सिद्ध कीजिये कि 2 - √3 एक अपरिमेय संख्या है |
4 marks Questions:
Q9. Show that any positive odd integer is of the form 4q + 1 or 4q + 3,
where q is some integer.
दर्शाइए कि कोई धनात्मक विषम पूर्णांक 4q + 1 या 4q + 3 के रूप का होता है,
जहाँ q एक पूर्णांक है |
Q10. Find the LCM and HCF of 12, 15 and 21 using prime factorization method.
12, 15 और 21 का LCM तथा HCF अभाज्य गुणनखंड विधि से ज्ञात कीजिये |
<----The End ---->
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1 Real Numbers
Unit test - II
Unit test - II-1 Real Numbers
ATP Model Unit Test
Mathematics-X
Chap. 1. Real Numbers
Timing: 1 hours M.M 20
All questions are importants:
One-Mark Questions:
Q1. Check whether 17 × 19 × 21 × 23 + 7 is a composite number.
Q2. HCF of x4y5 and x8y3 .
Q3. In Euclid’s Division Lemma, when a = bq + r where a, b are positive integers then what values r can take?
Q4. LCM of 14 and 122 .
Q5. If n is a natural number, then 252n – 92n is always divisible by what number?
Two-Marks Questions:
Q6. Show that 9n can never ends with unit digit zero
Q7. Show that the square of any odd integer is of the form 4m + 1, for some integer m.
Three-Marks Questions:
Q8. What would be the value of n for which n2–1 is divisible by 8.
Four-Marks Questions:
Q9. Prove that √3 + √5 is irrational.
Q10. Find the largest number that divides 31 and 99 leaving remainder 5 and 8 respectively.
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1 Real Numbers
Unit test - III
Unit test - III-1 Real Numbers
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Select Mathematics Class 10 Unit Test
1. 1 Real Numbers
2. 2 Polynomials
3. 3 Pair of Linear Equations in Two Variables
4. 4 Quadratic Equations
5. 5 Arithmetic Progressions
6. 6 Triangles
7. 7 Coordinate Geometry
8. 8 Introduction to Trigonometry
9. 9 Some Applications of Trigonometry
10. 10 Circles
11. 11 Constructions
12. 12 Areas Related to Circles
13. 13 Surface Areas and Volumes
14. 14 Statistics
15. 15 Probability
16. 3. दो चरों वाले रैखिक समीकरणों का युग्म
17. 1. वास्तविक संख्याएँ
18. 2. बहुपद
19. 4. द्विघात समीकरण
20. 5. समान्तर श्रेढ़ी
21. 6. त्रिभुज
22. 7. निर्देशांक ज्यामिति
23. 8. त्रिकोणमिति का परिचय
24. 9. त्रिकोणमिति का अनुप्रयोग
25. 10. वृत्त
26. 11. रचनाएँ
27. 12. वृतों से सम्बंधित क्षेत्रफल
28. 13. पृष्ठीय क्षेत्रफल एवं आयतन
29. 14. सांख्यिकी
30. 15. प्रायिकता
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