CFPQ Maths 10 PDF

Competency Focused Practice Questions Mathematics | Grade 10 Co-created by Centre for Excellence in Assessment CBSE and Educational Initiatives  Preface Assessment...

Competency Focused Practice Questions Mathematics | Grade 10 Co-created by Centre for Excellence in Assessment CBSE and Educational Initiatives  Preface Assessments are an important tool that help gauge learning. They provide valuable feedback about the effec veness of instruc onal methods; about what students have actually understood and also provide ac onable insights. The Na onal Educa on Policy 2020 has outlined the importance of competency-based assessments in classrooms as a means to reform curriculum and pedagogical methodologies. The policy emphasizes on the development of higher order skills such as analysis, cri cal thinking and problem solving through classroom instruc ons and aligned assessments. Central Board of Secondary Educa on (CBSE) has been working closely with Educa onal Ini a ves (Ei) in the area of assessment and capacity of the board. Through resources like the Essen al Concepts document and A-Ques on-A-Day (AQAD), high quality assessment ques ons and concepts cri cal to learning have been shared with schools and teachers. Con nuing with the vision to ensure that every student is learning with understanding, Ques on Booklets have been created for five subjects of Grade 10. These booklets contain competency-based items, designed specifically to test conceptual understanding and applica on of concepts. Process of crea ng competency-based items All items in these booklets are aligned to the NCERT curriculum and have been created keeping in mind the learning outcomes that are important for students to understand and master. Items are a mix of subjec ve ques ons and Mul ple-Choice Ques ons (MCQs). In case of MCQs, the op ons (correct answer and distractors) are specifically created to test for understanding and capturing specific errors/misconcep ons that students may harbour. Each incorrect op on can thereby inform teachers on specific gaps that may exist in student learning. In case of subjec ve ques ons, each ques on also has a a detailed scoring rubric to guide evalua on of students’ responses. Each item has been reviewed twice by the experts, to check for appropriateness of the item, validity of the item, conceptual correctness, language accuracy and other nuances. The process is designed to increase the quality of each ques on. How can these item booklets be used? The purpose of these item booklets is to provide samples of high-quality competency-based items to teachers. The items can be used to– get an understanding of what good competency-based ques ons could look like give exposure to students to competency-based items assist in classroom teaching and learning to get inspira on to create more such competency-based items Students can also use this document to understand different kinds of ques ons and prac ce specific concepts and competencies. Please write back to us if there is any feedback. Team CBSE 1  Table of Contents 1. Chapter - 1 Real Numbers Ques ons............................................................4 Answers key............................................................7 2. Chapter - 2 Polynomials Ques ons........................................................... 12 Answers key........................................................... 19 3. Chapter - 3 Pair of Linear Equa ons in Two Variables Ques ons........................................................... 27 Answers key........................................................... 36 4. Chapter - 4 Quadra c Equa ons Ques ons........................................................... 44 Answers key........................................................... 51 5. Chapter - 5 Arithme c Progressions Ques ons........................................................... 58 Answers key........................................................... 65 6. Chapter - 6 Triangles Ques ons........................................................... 74 Answers key........................................................... 82 7. Chapter - 7 Coordinate Geometry Ques ons........................................................... 91 Answers key........................................................... 96 8. Chapter - 8 Introduc on to Trigonometry Ques ons.......................................................... 103 Answers key.......................................................... 109 9. Chapter - 9 Some Applica ons of Trigonometry Ques ons.......................................................... 118 Answers key.......................................................... 124 10. Chapter - 10 Circles Ques ons.......................................................... 130 Answers key.......................................................... 137 11. Chapter - 11 Construc ons Ques ons.......................................................... 145 Answers key.......................................................... 149 12. Chapter - 12 Areas Related to Circle Ques ons.......................................................... 157 Answers key.......................................................... 166 13. Chapter - 13 Surface Areas and Volumes Ques ons.......................................................... 172 Answers key.......................................................... 180 14. Chapter - 14 Sta s cs Ques ons.......................................................... 186 Answers key.......................................................... 190 15. Chapter - 15 Probability Ques ons.......................................................... 196 Answers key.......................................................... 205 16. Chapter - 16 Mul ple Concepts Ques ons.......................................................... 210 Answers key.......................................................... 217 2  Chapter - 1 Real Numbers 3 4 5 6  Answer Key The table below gives the correct answer for each multiple-choice question in this test. 7  Answer Key Teacher should award marks if students have done the following: 8  Answer Key Teacher should award marks if students have done the following: 9  Answer Key Teacher should award marks if students have done the following: 10 Chapter - 2 Polynomials 11 12 13 14 15 16 17 18  Answer Key The table below gives the correct answer for each multiple-choice question in this test. 19  Answer Key Teacher should award marks if students have done the following: 20  Answer Key Teacher should award marks if students have done the following: 21  Answer Key Teacher should award marks if students have done the following: 22  Answer Key Teacher should award marks if students have done the following: 23  Answer Key Teacher should award marks if students have done the following: 24  Answer Key Teacher should award marks if students have done the following: 25  Chapter - 3 Pair of Linear Equations in Two Variables 26 27 28 29 30 31 32 33 34 35  Answer Key The table below gives the correct answer for each multiple-choice question in this test. 36  Answer Key Teacher should award marks if students have done the following: 37  Answer Key Teacher should award marks if students have done the following: 38  Answer Key Teacher should award marks if students have done the following: 39  Answer Key Teacher should award marks if students have done the following: 40  Answer Key Teacher should award marks if students have done the following: 41  Answer Key Teacher should award marks if students have done the following: 42  Chapter - 4 Quadratic Equations 43 44 45 46 47 48 49 50 The table below gives the correct answer for each multiple-choice question in this test. 51 Teacher should award marks if students have done the following: 52 Teacher should award marks if students have done the following: 53 Teacher should award marks if students have done the following: 54 Teacher should award marks if students have done the following: 55 Teacher should award marks if students have done the following: 56  Chapter - 5 Arithmetic Progressions 57 58 59 60 61 62 63 64 The table below gives the correct answer for each multiple-choice question in this test. 65 Teacher should award marks if students have done the following: 66 Teacher should award marks if students have done the following: 67 Teacher should award marks if students have done the following: 68 Teacher should award marks if students have done the following: 69 Teacher should award marks if students have done the following: 70 Teacher should award marks if students have done the following: 71 Teacher should award marks if students have done the following: 72 Chapter - 6 Triangles 73 74 75 76 77 78 79 80 81 The table below gives the correct answer for each multiple-choice question in this test. 82 Teacher should award marks if students have done the following: 83 Teacher should award marks if students have done the following: 84 Teacher should award marks if students have done the following: 85 Teacher should award marks if students have done the following: 86 Teacher should award marks if students have done the following: 87 Teacher should award marks if students have done the following: 88 Teacher should award marks if students have done the following: 89  Chapter - 7 Coordinate Geometry 90 91 92 93 94 95 The table below gives the correct answer for each multiple-choice question in this test. 96 Teacher should award marks if students have done the following: 97 Teacher should award marks if students have done the following: 98 Teacher should award marks if students have done the following: 99 Teacher should award marks if students have done the following: 100 Teacher should award marks if students have done the following: 101  Chapter - 8 Introduction to Trigonometry 102 103 104 105 106 107 108 The table below gives the correct answer for each multiple-choice question in this test. 109 Teacher should award marks if students have done the following: 110 Teacher should award marks if students have done the following: 111 Teacher should award marks if students have done the following: 112 Teacher should award marks if students have done the following: 113 Teacher should award marks if students have done the following: 114 Teacher should award marks if students have done the following: 115 Teacher should award marks if students have done the following: 116  Chapter - 9 Some Applications of Trigonometry 117 118 119 120 121 122 123 The table below gives the correct answer for each multiple-choice question in this test. 124 Teacher should award marks if students have done the following: 125 Teacher should award marks if students have done the following: 126 Teacher should award marks if students have done the following: 127 Teacher should award marks if students have done the following: 128 Chapter - 10 Circles 129 130 131 132 133 134 135 136 The table below gives the correct answer for each multiple-choice question in this test. 137 Teacher should award marks if students have done the following: 138 Teacher should award marks if students have done the following: 139 Teacher should award marks if students have done the following: 140 Teacher should award marks if students have done the following: 141 Teacher should award marks if students have done the following: 142 Teacher should award marks if students have done the following: 143  Chapter - 11 Constructions 144 145 146 147 148 The table below gives the correct answer for each multiple-choice question in this test. 149 Teacher should award marks if students have done the following: 150 Teacher should award marks if students have done the following: 151 Teacher should award marks if students have done the following: 152 Teacher should award marks if students have done the following: 153 Teacher should award marks if students have done the following: 154 Teacher should award marks if students have done the following: 155  Chapter - 12 Areas Related to Circle 156 157 158 159 160 161 162 163 164 165 The table below gives the correct answer for each multiple-choice question in this test. 166 Teacher should award marks if students have done the following: 167 Teacher should award marks if students have done the following: 168 Teacher should award marks if students have done the following: 169 Teacher should award marks if students have done the following: 170  Chapter - 13 Surface Areas and Volumes 171 172 173 174 175 176 177 178 179 The table below gives the correct answer for each multiple-choice question in this test. 180 Teacher should award marks if students have done the following: 181 Teacher should award marks if students have done the following: 182 Teacher should award marks if students have done the following: 183 Teacher should award marks if students have done the following: 184 Chapter - 14 Statistics 185 186 187 188 189 Teacher should award marks if students have done the following: 190 Teacher should award marks if students have done the following: 191 Teacher should award marks if students have done the following: 192 Teacher should award marks if students have done the following: 193 Teacher should award marks if students have done the following: 194 Chapter - 15 Probability 195 196 197 198 199 200 201 202 203 204 Teacher should award marks if students have done the following: 205 Teacher should award marks if students have done the following: 206 Teacher should award marks if students have done the following: 207 Teacher should award marks if students have done the following: 208  Chapter - 16 Multiple Concepts 209 210 211 212 213 214 215 216 Teacher should award marks if students have done the following: 217 Teacher should award marks if students have done the following: 218 Teacher should award marks if students have done the following: 219 Teacher should award marks if students have done the following: 220 Teacher should award marks if students have done the following: 221 Teacher should award marks if students have done the following: 222 Teacher should award marks if students have done the following: 223 Teacher should award marks if students have done the following: 224  About Educational Initiatives Educational Initiatives (Ei) is working with the vision of creating a world where children everywhere are learning with understanding. Ei leverages the twin levers of cutting-edge educational research and technology-based solutions to improve student learning outcomes through personalized adaptive learning solutions. Ei has undertaken several projects with various government and civil society partners in India and abroad, serving students across different grades and socio-economic backgrounds.  Central Board of Secondary Education Academic Unit, 17 Rouse Avenue, New Delhi -110002