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CTET Mathematics : Paper 1
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CTET July 2023 : Mathematics, Paper 1
PART - I / भाग - I
Mathematics / गणित
Direction : Answer the following questions (Q. Nos 31 to 60) by selecting the correct/most appropriate options.
निर्देश : निम्नलिखित प्रश्नों (प्रश्न संख्या 31 से 60) के उत्तर सही/सबसे उपयुक्त विकल्पों का चयन करके दीजिए।
31. 12 thousand + 13 hundred + 2 ten is equal to:
(1) 121320
(2) 13182
(3) 130132
(4) 13320
32. One crore is:
(1) Hundred million
(2) Ten million
(3) One million
(4) One billion
33. Which of the following resources is best suited to explain the concept of decimals
(a) Number Chart
(b) Dienes Blocks
(c) Taylor's Abacus
(d) Graph Paper
Choose the correct option:
(1) (a) and (b)
(2) Only (b)
(3) (b) and (d)
(4) (a) and (c)
34. Which of the following letters has no line of symmetry
(1) X
(2) A
(3) M
(4) L
35. In a certain week, the number of patients in a dental clinic was as follows.
| Day | Number of Patients |
| Monday | 25 |
| Tuseday | 38 |
| Wednesday | 45 |
| Thursday | 18 |
| Friday | 36 |
| Saturday | 39 |
Based on above table, choose the wrong statement
(1) Totl number of patients was 200
(2) Range of the data is 27
(3) On most of the days, number of patients was more than 30
(4) Difference between the number of patients on Monday and Wednesday is 20
36. If x : y = p : q, then which of the following is true
(a) x + y : y = p + q : q
(b) x - y : y = p - q : q
(c) x : p = y : q
(d) x + y : x - y = p - q : p + q
(1) (a), (b) and (c)
(2) (a) and (b)
(3) Only (c)
(4) (a) and (d)
37. Which of the following Indian mathematicians are known as founders of 'numerio analysis' (निम्नलिखित में से किन भारतीय गणितज्ञों को 'संख्यात्मक विश्लेषण' के संस्थापक के रूप में जाना जाता है)
(i) Ramanujan
(ii) Bhaskaracharya
(iii) Varahmihir
(iv) Aryabhatta
Choose the correct option.
(1) (i) and (iv)
(2) (i) and (iii)
(3) (ii) and (iv)
(4) (ii) and (iii)
38. Which of the following statement(s) is/are the about numbers
(a) All positive integers are whole number (सभी धनात्मक पूर्णांक, पूर्ण संख्याएँ हैं)
(b) All whole numbers are integers (सभी पूर्ण संख्याएँ पूणर्णांक होती हैं)
(c) All rational numbers are real numbers (सभी परिमेय संख्याएँ वास्तविक संख्याएँ होती है)
(d) All irrational numbers are real numbers (सभी अपरिमेय संख्याएँ वास्तविक संख्याएँ होती हैं)
Choose the correct option:
(1) (a) and (d)
(2) Only (b)
(3) Only (c)
(4) (a), (b), (c) and (d)
39. The main approach suggested by National Curriculum Framework (NCF) 2005 in teaching learning of mathematics is (मुख्य उपागम जिसकी सलाह राष्ट्रीय पाठ्यचर्या रूपरेखा 2005 में गणित के शिक्षण अधिगम को लेकर की गई है वह है)
(1) Constructivism
(2) Instructivism
(3) Pragmatism
(4) Behaviourism
40. Students in a class are solving questions based on percentage discounts. One question requires the edon students to calculate the cost of two bikes, with a 8% discount on each bike. One of the groups calculates the total cost of the bikes and then deducts 16% from the total cost. The method used by this group is:
(1) False, since they have deducted 16% from the total instead of 16% from the average of the total.
(2) Correct and is the only way to calculate the discount and cost.
(3) An alternate strategy to solve the question.
(4) False, since they have deducted 16% discount from the total instead of 8%.
41. While teaching equations a teacher explains the concept of a linear equation having unique solution. She further asks, "If a solution is given then how many equations you can create" (समीकरण पढ़ाते समय शिक्षिका अद्वितीय हल वाले रैखिक समीकरण की अवधारणा को समझाती है। वह आगे पूछती है, "अगर हल दिया गया हो तो आप कितने समीकरण बना सकते है")
Choose the correct option:
(1) Two equations
(2) One equation
(3) No equation
(4) Many equations
CTET Previous Year Question Papers for Mathematics
Explore comprehensive solutions and answer keys for CTET Mathematics, Paper 1 from previous years. Our collection includes detailed question papers, solutions, and expert analysis to help you prepare effectively for the Central Teacher Eligibility Test. Access valuable resources and enhance your exam strategy with real exam questions and solutions.
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42. Two columns are given as shown below
| Column - I | Column - II |
| (a) Face of a black-board | (i) two end points |
| (b) A line has | (ii) One end point |
| (c) A ray has | (iii) Represents a part of a plane |
| (d) A line segment has | (iv) No definite length |
Column I and II are matched as
(1) (a) - (i), (b) - (iii), (c) - (iv), (d) - (ii)
(2) (a) - (ii), (b) - (iii), (c) - (i), (d) - (iv)
(3) (a) - (iii), (b) - (ii), (c) - (i), (d) - (iv)
(4) (a) - (iii), (b) - (iv), (c) - (ii), (d) - (i)
43. If (7 2) x (123) = 92496, then value of
(1) 5
(2) 2
(3) 1
(4) 4
44. Saumya joined her job on 13-01-1992 and she took retirement on 31-03-2023. Duration of her service was
(1) 31 years 2 months and 18 days
(2) 30 years 10 months and 19 days
(3) 31 years 2 months and 19 days
(4) 30 years 9 months and 18 days
45. In order to identify individual differences of students in the mathematics class, which of the following assessment technique will not be appropriate (गणित की कक्षा में विद्यार्थियों में व्यैक्तिक भिन्नता की पहचान के लिए निम्नलिखित में से कौन सी आकलन-तकनीक उपयुक्त नहीं होगी)
(1) Peer assessment (समकक्षी आकलन)
(2) Formative assessment (रचनात्मक आकलन)
(3) Summative ashament (योगात्मक आकलन)
(4) Diagnostic assessment (नैदानिक आकलत)
Mathematics : Chapter, Paper 1
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46. Which among the following is/are true about the computation in basic operations for Grade-II learners (कक्षा-11 के अधिगमकर्ताओं के लिए आधारभूत संक्रियाओं में अभिकलन के लिए निम्नलिखित में से कौन-सा/से सही है)
(a) It involves child's ability to develop informal strategies (इसमें बच्चे की अनौपचारिक कार्यनीतियों को विकसित करने की क्षमता समाकलित है)
(b) It involves child's ability to estimate ( इसमें बच्चे की अनुमान लगाने की क्षमता समाकलित है)
(c) It involves child's ability to do calculations with large numbers (इसमें बड़ी संख्याओं के साथ परिकलन करने की बच्चे की क्षमता समोकलित है)
Choose The correct option
(1) (a) and (b)
(2) Only (c)
(3) (b) and (c)
(4) (a) and (c)
47. In a mathematics class a teacher explains the concept of different angles. He/she realizes that scissors is a best example to explain ...............
(a) Vertically opposite angles
(b) Linear pair of angles
(c) Corresponding angles
(d) Alternate angles
Choose the correct option
(1) (b) and (c)
(2) (a) and (b)
(3) (a) and (c)
(4) (c) and (d)
48. 1233210 ÷ 5555 - 222 is equal to
(1) 3
(2) 1
(3) 0
(4) 2
49. Arrangement of fractions 1/9, 1/21, 3/7, 12/63 in decreasing order is
(1) 1/9, 12/63, 3/7, 1/9
(2) 3/7, 1/9, 12/63, 1/21
(3) 3/7, 12/63, 1/9, 1/21
(4) 12/63, 3/7, 1/21, 1/9
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50. One egg has mass of about 56g, what is the mass of 2 dozen egg.
(1) 1kg 544g
(2) 1.56 kg
(3) 1kg 56 g
(4) 1.304 kg
51. Which of the following represents the features of a mathematics laboratory (निम्नलिखित में से क्या गणित की एक प्रयोगशाला की विशेषताओं को निरूपित करता है)
(a) It is a place to enjoy mathematics through informal exploration (यह अनौपचारिक अन्वेषण के द्वारा गणित में आनंद लेने का स्थान है)
(b) It provides opportunities to prove mathematical theorems through experiments (यह प्रयोगों के द्वारा गणितीय प्रमेयों को सिद्ध करने के अवसर प्रदान करती है)
(c) It provides opportunity to make conjectures, test them and to generalise observed patten (यह कन्जेक्चर बनाने, उनको जाँच करने और देखे गए पैटर्न का सामान्यीकरण करने के अवसर प्रदान करती है)
(d) It is used to assess students knowledge of mathematics and grade them accordingly (इसका उपयोग विद्यार्थियों के गणित के ज्ञान का आकलन करने के लिए और तदनुसार उनको ग्रेड देने के लिए किया जाता है)
Choose the correct option
(1) (b) and (c)
(2) (a) and (d)
(3) (a) and (c)
(4) (b) and (d)
52. National Curriculum Framework For Foundational Stage (NCFPS), 2022 highlighted the importarice of the following components while teaching an abstract mathematical concept (बुनियादी स्तर के लिए राष्ट्रीय पाठ्यचर्या रूपरेखा (एन सी एफ एफ एस), 2022 ने अमूर्त गणितीय अवधारणा के शिक्षण के समय निम्नलिखित घटकों के महत्त्व पर प्रकाश डाल)
(a) Written Symbols
(b) Experience
(c) Spoken Language
(d) Picture
Which of the following is the appropriate sequence of these components while teaching an abstract mathematical concept
(1) (b) → (c) → (d) → (a)
(2) (c) → (a) → (d) → (b)
(3) (b) → (c) → (a) → (d)
(4) (c) → (d) → (a) → (b)
53. Raju has turpentine oil in 5 containers each of 20 L size. He fills them in 10 cans of 5 L, 10 cans of 2 L and rest in 1 L. cans. Number of 1 L cans filled is
(1) 28
(2) 25
(3) 30
(4) 22
Previous Year Question Papers For CTET, Paper I
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54. Which of the following learning experiences for children does not reflect the contribution of mathematics to everyday life and society (निम्नलिखित में से बच्चों के लिए कौन सा अधिगम अनुभव समाज तथा दैनिक जीवन में गणित के योगदान को प्रतिबिम्बित करता है)
(1) Play small group games that draw on mathematical skills and concepts (छोटे समूह वाले ऐसे खेल खेलना जो गणितीय कौशल एवं अवधारणाओं पर आधारित हों)
(2) Communication of mathematical ideas in writing using both formal and informal languages (औपचारिक एवं अनौपचारिक भाषा दोनों का हषलोग कर गणितीय विचारों का लिखित में सम्प्रेषण)
(3) Meeting people from different areas of employment and exploring how they use mathematics in their work (रोजगार के भिन्न-भिन्न क्षेत्रों के लोगों से मिलना तथा अन्वेषण करना कि वे अपने काम में गणित का प्रयोग किस प्रकार करते हैं)
(4) Collecting, organising, representing and interpreting data in day-to-day life (दैनिक जीवन में उत्पन्न डाटा को एकत्र करना, सुष्यवस्थित करना, निरूपित करना तथा प्रतिपादित करना)
55. 22 hm 8 dam is equal to
(1) 22080 m
(2) 22800 m
(3) 2208 m
(4) 2280 m
56. A mathematics teacher discusses the concept of open and closed curve in class. For better understanding of students she gave an example with four points. If the curve is open then nature of four points is
(1) Three of them must be non-collinear
(2) All are collinear
(3) Two of them must be collinear
(4) Three of them must be collinear
57. Two angles of a triangle are 50° and 30". Then the third angle of the triangle is
(1) 80°
(2) 100°
(3) 40°
(4) 60°
Previous Year Question Papers For CTET, Paper II
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58. Which of the following are correct examples of the statement "mathematics is hierarchical in levels that are logically structured" (कथन "गणित उन स्तरों में पदानुक्रमित है जो कि तार्किक रूप से त्व्यवस्थित हैं" के लिए निम्नलिखित में से कौन-से सही उदाहरण हैं)
(a) The concept of integers needs to be developed before the concept of multiplication and division of numbers (पूर्णांकों की अवधारणा को संख्याओं के गुणन और भाग की अवधारणा से पूर्व विकसित करने की आवश्यकता होती है)
(b) Multiplication follows and builds on the concept of addition (गुणन, योग की अवधारणा का अनुपालन करता है और उस पर विकसित होता है)
(c) Number sense needs to be developed before the concepts of addition and subtraction (संख्या बोध को योग और व्यवकलन की अवधारणा से पूर्व विकसित करने की आवश्यकता होती है)
Choose the correct option
(1) only (b)
(2) (a) and (b)
(3) (b) and (c)
(4) (a) and (c)
59. The difference between the greatest and smallest 6-digit numbers formed by using the digits 5, 1, 0, 3, 9 and 6 is
(1) 851731
(2) 861741
(3) 862731
(4) 951741
60. The missing number (?) in the following.
43, 47, 53, 59 ? 67, 71, 73 is
(1) 65
(2) 61
(3) 60
(4) 63
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