Loading...

M-1- CE- 2
Quiz by Kashif Adnan
Customize this quiz to suit your class
Instantly translate to 100+ languages
Tag the questions with any skills you have. Your dashboard will track each student's mastery of each skill.
Health and safety is important for three reasons: moral, legal and which other reason?
Medical
Financial
Enforcement
Statutory
higher productivity
good reputation
low accident rate
legal proceedings and prosecution
Health and safety is important for three reasons: moral, legal and which other reason?
Give this quiz to my class
Generate all of these 25 questions Part A: Each correct answer is worth 5. 1. The regular pentagon shown has a side length of 2 cm. The perimeter of the pentagon is (A) 2 cm (B) 4 cm (C) 6 cm (D) 8 cm (E) 10 cm 2 cm 2. The faces of a cube are labelled with 1, 2, 3, 4, 5, and 6 dots. Three of the faces are shown. What is the total number of dots on the other three faces? (A) 6 (B) 8 (C) 10 (D) 12 (E) 15 3. The equation that best represents \a number increased by _ve equals 15" is (A) n 5 = 15 (B) n _ 5 = 15 (C) n + 5 = 15 (D) n + 15 = 5 (E) n _ 5 = 15 4. The line graph shows the number of bobbleheads sold at a store each year. The sale of bobbleheads increased the most between (A) 2016 and 2017 (B) 2017 and 2018 (C) 2018 and 2019 (D) 2019 and 2020 (E) 2020 and 2021 Number of 2016 2017 2018 2019 2020 Year Sale of Bobbleheads 2021 Bobbleheads 20 40 60 80 5. Starting at 72, Aryana counts down by 11s: 72; 61; 50; : : : . What is the last number greater than 0 that Aryana will count? (A) 4 (B) 5 (C) 6 (D) 7 (E) 8 6. In the diagram, \ABC = 90_. The value of x is (A) 68 (B) 23 (C) 56 (D) 28 (E) 26 Day of the Week 44° x° A B C x° 7. Which of the following values is closest to zero? (A) 1 (B) 5 4 (C) 12 (D) 4 5 (E) 0:9 Grade 8 8. A jar contains 267 quarters. One quarter is worth $0.25. How many quarters must be added to the jar so that the total value of the quarters is $100.00? (A) 33 (B) 53 (C) 103 (D) 133 (E) 153 9. A package of 8 greeting cards comes with 10 envelopes. Kirra has 7 cards but no envelopes. What is the smallest number of packages that Kirra needs to buy to have more envelopes than cards? (A) 3 (B) 4 (C) 5 (D) 6 (E) 7 10. For the points in the diagram, which statement is true? (A) e > c (B) b < d (C) f > b (D) a < e (E) a > c y x (e, f ) (a, b) (c, d ) Part B: Each correct answer is worth 6. 11. The 26 letters of the English alphabet are listed in an in_nite, repeating loop: ABCDEFGHIJKLMNOPQRSTUVWXY ZABC : : : What is the 258th letter in this sequence? (A) V (B) W (C) X (D) Y (E) Z 12. A public holiday is always celebrated on the third Wednesday of a certain month. In that month, the holiday cannot occur on which of the following days? (A) 16th (B) 22nd (C) 18th (D) 19th (E) 21st 13. A circular spinner is divided into three sections. An arrow is attached to the centre of the spinner. The arrow is spun once. The probability that the arrow stops on the largest section is 50%. The probability it stops on the next largest section is 1 in 3. The probability it stops on the smallest section is (A) 1 4 (B) 2 5 (C) 1 6 (D) 2 7 (E) 3 10 14. A positive number is divisible by both 3 and 4. The tens digit is greater than the ones digit. How many positive two-digit numbers have this property? (A) 4 (B) 5 (C) 6 (D) 7 (E) 8 15. A rectangular pool measures 20 m by 8 m. There is a 1 m wide walkway around the outside of the pool, as shown by the shaded region. The area of the walkway is (A) 56 m2 (B) 60 m2 (C) 29 m2 (D) 52 m2 (E) 50 m2 20 m 8 m 1 m Grade 8 16. The results of asking 50 students if they participate in music or sports are shown in the Venn diagram. What percentage of the 50 students do not participate in music and do not participate in sports? (A) 0% (B) 80% (C) 20% (D) 70% (E) 40% Music Sports 15 5 20 17. There are 2 3 as many golf balls in Bin F as in Bin G. If there are a total of 150 golf balls, how many fewer golf balls are in Bin F than in Bin G? (A) 15 (B) 30 (C) 50 (D) 60 (E) 90 18. In the sequence shown, Figure 1 is formed using 7 squares. Each _gure after Figure 1 has 5 more squares than the previous _gure. What _gure has 2022 squares? (A) Figure 400 (B) Figure 402 (C) Figure 404 (D) Figure 406 (E) Figure 408 Figure 1 Figure 2 Figure 3 19. Mateo's 300 km trip from Edmonton to Calgary passed through Red Deer. Mateo started in Edmonton at 7 a.m. and drove until stopping for a 40 minute break in Red Deer. Mateo arrived in Calgary at 11 a.m. Not including the break, what was his average speed for the trip? (A) 83 km/h (B) 94 km/h (C) 90 km/h (D) 95 km/h (E) 64 km/h 20. Equilateral triangle ABC has sides of length 4. The midpoint of BC is D, and the midpoint of AD is E. The value of EC2 is (A) 7 (B) 6 (C) 6:25 (D) 8 (E) 10 Part C: Each correct answer is worth 8. 21. The positive factors of 6 are 1, 2, 3, and 6. There are two perfect squares less than 100 that have exactly _ve positive factors. What is the sum of these two perfect squares? (A) 177 (B) 80 (C) 145 (D) 52 (E) 97 22. In the list p; q; r; s; t; u; v, each letter represents a positive integer. The sum of the values of each group of three consecutive letters in the list is 35. If q + u = 15, then p + q + r + s + t + u + v is (A) 85 (B) 70 (C) 80 (D) 90 (E) 75 Grade 8 23. The net shown is folded to form a cube. An ant walks from face to face on the cube, visiting each face exactly once. For example, ABCFED and ABCEFD are two possible orders of faces the ant visits. If the ant starts at A, how many possible orders are there? (A) 24 (B) 48 (C) 32 (D) 30 (E) 40 A D B C E F 24. The number 385 is an example of a three-digit number for which one of the digits is the sum of the other two digits. How many numbers between 100 and 999 have this property? (A) 144 (B) 126 (C) 108 (D) 234 (E) 64 25. Student A, Student B, and Student C have been hired to help scientists develop a new avour of juice. There are 4200 samples to test. Each sample either contains blueberry or does not. Each student is asked to taste each sample and report whether or not they think it contains blueberry. Student A reports correctly on exactly 90% of the samples containing blueberry and reports correctly on exactly 88% of the samples that do not contain blueberry. The results for all three students are shown below. Student A Student B Student C Percentage correct on samples 90% 98% (2m)% containing blueberry Percentage correct on samples 88% 86% (4m)% not containing blueberry Student B reports 315 more samples as containing blueberry than Student A. For some positive integers m, the total number of samples that the three students report as containing blueberry is equal to a multiple of 5 between 8000 and 9000. The sum of all such values of m is (A) 45 (B) 36 (C) 24 (D) 27 (E) 29
Make mcq quiz with 4 option in which one is correct -'10 Basis of Material Science • .....;;;";;;"~~;;,,;;,,,,;.;.,,;;,,,;,,;.;,.,------------ 6. Temporary materials: Some materials are meant to be placed in the oral cavity for a short period of time for different reasons. • Temporary crowns: While a permanent crown is prepared in the dental laboratory, the patient must wait for few days before it can be fabricated and cemented into place. Does patient experience any problems during this time period? If the tooth is vital (the pulp is alive), the patient is likely to experience pain and sensitivity while eating and drinking, also it looks unesthetic. What can be done to solve this problem? A temporary crown is placed before the patient leaves the clinic. It is constructed and luted in the same appointment in which the crown preparation is done. Temporary crowns are not very strong or esthetic but they serve adequately till the permanent crown is ready to be cemented. • Temporary restorations: Sometimes it is difficult to decide immediately the best line of treatment for a particular tooth. The exact condition of the pulp may not be obvious to the dentist from the patient's symptoms. A dentist removes all or part of the decay and then places a temporary restoration to have time to observe the behaviour of the pulp or to give the pilip time to heal before deciding the further treatment required. Classification based on Location of Fabrication 4,9 Materials can be classified based on the location of fabrication into: • Direct restorative materials. • Indirect restorative materials Direct restorative materials: They include those materials which are used to restore cavity preparations directly in the oral cavity (Box 1.5). Box 1.5: Examples of direct restorative materials Amalgam, composites, glass ionomer and other materials, which set by chemical reactions in the mouth. Indirect restorative materials: It includes those restorations which must be fabricated outside the mouth, indirectly on a cast/ model/ die, because their processing condition would harm oral tissues. Materials used in the construction of such prosthesis are called indirect restorative materials (Box 1.6). Box 1.6: Examples of indirect restorative materials Gold inlays, crowns of metal, ceramic and polymers, which are processed at elevated temperatures. Some indirect composite restorations can be processed under specific wavelength of light, e.g. Ceramage. Classification based on Longevity of Use 1. Permanent restorations: These restorations are not planned to be replaced for a particular time period. Though they are referred to as permanent, actually they are not, e.g. fillings, crowns, bridges and dentures do not last forever (Fig. 1.5). 2. Temporary restorations: These restorations are planned to be replaced in a short period of time, such as few days to weeks. For ~ Permanent C/) c c -.2 0 c- :;::; Cll co Interim ~ Q; 0 .8ll::1iJ C/) o~ Cll a:: c:=:J Temporary Time period Fig. 1.5: Diagram depicting the time period of use of a restoration. (Arrow in permanent restoration depicts that such restorations are not planned to be replaced for a long period of time.) Introducton to Dental Materials Dental materials Box 1.7: Characteristics of metals 1. High thermal and electrical conductivity 2. Ductility (pure metals are very soft and they can be bent without breaking) 3. Opacity (they do not transmit light) 4. Luster (they have a surface that strongly reflects light and appears bright and shiny) 5. They tend to dissolve to some extent in water or other aqueous solutions, producing cations. 6. All metals are white (actually gray) except for gold, which is yellow, and copper, which is reddish. 7. All metals are solid at room temperature except mercury, which is liquid at room temperature and is used with silver alloys as amalgam. 8. All metals have high melting temperatures because of high strength of the metallic bond that holds the atoms together. 3. Polymers 4. Composites Composites are mixtures of two or more of the first three classes in which the different components remain distinct from one another in the final structure. A common example is composite resin. Fig. 1.7a: Three-dimensional structure of iron (metal) Metals Metals are the oldest of the three classes of materials that have been used as dental materials. Metals are characterized by metallic bonds (Box 1.7) which will be discussed in the next chapter. Metals solidify with their atoms in a regular or crystalline arrangement (see Chapter 2), often in the form of a cube (Fig. 1.7a). example, temporary fillings done in a tooth during root canal treatment, which have to be replaced within 2-4 days during subsequent visits. They are used to protect the tooth and provide function till the final restoration is done. 3. Interim restoration: At times, dental treatment requires "long-term" definite temporary restorations or "interim" restorations. For examle, a 7-year-old child, met with trauma and fractured one of his central incisors. A large composite build- up may serve his immediate requirement until the root formation is completed and a permanent crown is placed. 5 Classification based on the Chemical Nature of the Material These are the atoms that make up a material and the way they are bonded together determine the properties of that materiaLS Weak bonds make for weak materials and vice versa (Table 1.4). Materials can be classified into different categories based on their primary atomic bonds (Fig. 1.6): 1. Metals 2. Ceramics Fig. 1.6: Classification of dental materials based on chemical nature 12 Basis of Material Science Box 1.9: Benefits of ceramics in dentistry 1. Many ceramic oxides are used as pigmenting agents. These oxides produce good range of colors. Due to this characteristic, we are able to match almost any tooth color with good esthetic results. 2. They are inert, i.e. not chemically reactive. This quality provides ceramics with good bio- compatibility. 3. Ceramic materials are translucent, like natural teeth. This translucency gives the ceramic crown a more natural appearance than any other dental material. Fig. 1.7b: Internal arrangement of tetrahedral structure of ceramic (silica) four large oxygen atoms surround smaller silicon atom Ceramics A ceramic is a compound formed by the union of a metallic and a non-metallic element (Box 1.8). Most of these materials are oxides, formed by the union of oxygen with metals such as silicon, aluminum, calcium and magnesium (Fig.1.7b). Ceramics may be simple or complex. Examples of simple ceramics are alumina and silica. Examples of complex ceramics are feldspar (potassium aluminum silicate) and kaolin (hydrated aluminum silicate). Ceramics may be crystalline or non- crystalline (i.e. amorphous). Porcelain is a specific type of ceramic used extensively in dentistry (Box 1.9). Box 1.8: Characteristics of ceramics 1. High melting points. 2. Brittleness, which means they cannot be bent or deformed (no sliding) to any extent without actually cracking and breaking. 3. They are poor conductor of heat and electricity. 4. They are chemically inert. 5. They have excellent esthetic result in terms of matching natural teeth. Fig. 1.8: Stucture of synthetic polymer Polymers They are the latest addition (early to mid- 1900s) to dental materials. Most of the polymers are nowadays synthesized by humans. Polymers are giant, long-chain organic molecules (Fig. 1.8). Polymers are characterized by covalent bonds within each molecule, giving them tremendous strength in a single direction. Try to break a nylon rope by pulling it! They are poor conductors of heat and electri- city. Most polymers have a structure containing thousands of carbon atoms linked together like beads on a string. Others, such as silicone polymers are formed with silicon-oxygen bonds. Introducton to Dental Materials Table 1.4: Characteristics of different materials 13 Characteristics Bond Properties Crystal structure Metals Metallic bonding High strength and hardness, high electrical and thermal conductivity BCC, FCC, or HCP unit cells Ceramics Ionic or covalent bonding, or both High hardness and stiffness, electrically insulating, refractory, and chemically inert Crystalline or amorphous Polymers Covalent bonding Low sensitivity, high electrical resistivity, and low thermal conductivity, strength and stiffness vary widely Amorphous and crystalline Composites Composites are combinations of any of the basic ceramic, metallic and polymeric materials (Box 1.10). Each material that makes up composites is called a phase. Their properties tend to be somewhere between those of their basic constituents and are used to enhance their performance, longevity and handling chracterstics. Box 1.10: Types of composites in dentistry 1. Ceramic - metallic composite: Tungsten carbide bur. 2. Metal - polymer composite: Die materials in dental laboratory. 3. Ceramic - polymer composite: Enamel, dentin, bone and restorative composites. A composite is a kind of "combination" of materials, which compliment each other. The properties lacking in one material are compensated by those of the other material. For example, restorative composite has two phases, namely resin and fillers. Teeth and bones are examples of natural composites. Enamel is a composite of hydroxyapatite (which is a ceramic material) and protein (which is a polymer). EVALUATION OF DENTAL MATERIALS Most manufacturers of dental materials maintain a quality assurance programme (As per international standard like ADA specifications) and materials are thoroughly tested before being released into the market for dental practitioner (Fig. 1.9). Laboratory Evaluations Most ADA/ ANSI specifications involve laboratory tests. The tests performed as per these specifications are useful but they all are performed in vitro, (carried out in the laboratory away from the clinical conditions) which have a lot of limitations in clinical practice.lO Clinical Notes 1. For example, most of the direct restorative materials are tested for their compressive strength but ultimately the material is subjected to a combination of compressive, tensile and shear stresses, which may decide the final success or failure of the material under masticatory load. 2. Similarly upper dentures mostly fracture along the midline because of bending. Hence a bending or transverse strength ~B-a-s-is-o-f-M-a-t-e-ria-I-S~c-ie-n-c-e-------------- ---------. test is far more meaningful for denture base materials than a compression test. Clinical Trials The majority of new materials are subjected to extensive clinical trials normally in co-operation with a dental college or hospital departments prior to their release. CONCLUSION As the number of available materials is going up, it is important that the dentist remains more aware about new products so that their judgement about the selection of material remains successful. Materials which have not been thoroughly evaluated should be avoided, specially with clinical dentistry falling under Consumer Protection Act (CPA). I Research and development I iI Manufacturer/analysis Ideal requirements for clinical use: Thermal, optical, mechanical, chemical, biological Available materials and their properties are evaluated Launch of new I product Choice and selection of material by the dentist Critical assessment based on clinical performance I I H feedback to I
M-1- CE- 1
Gd`ëôGF≥ e`™ Gdª`æõd«á Gdª`¡ÉQI GdãÉdã`á : J¡ªæ» e©∏ƒeÉä : e©∏ƒeÉä J¡ªæ» : Gdμ¡ôHÉF» , hGT°à©É∫ GdæÉQ ´ eù°ÑÉä GdëôGF≥ Gdªæõd«á eÉ H«ø GdàªÉS¢ GdæÉJè eø Jàæƒ q Gdõjƒä , GC hd∏à©Éeπ MógªÉ hbÉ F» LÉfÑÉ¿ : GC Gdªæõd«á GdëôGF≥ e™ hG’BN`ô Gdƒb`ÉF» g`æÉd∂ Gdé`ÉfÖ , aØ`» Y`ÓL» Gdù° ˘ ∏ƒc« ˘ Éä Gdü° ˘ ë`« ˘ ë ˘ á J ˘ é`É√ Gd ˘ à ˘ ©Ée ˘ π e™ eãπ G’CL¡õI hbƒ´ J∏∂ a» Jàù°ÑÖ bó Gdà» hG’COhGä Gdë`ƒGOç eæ`¡É : b`ôGAI Gdà©∏«ªÉä Gd `ƒGQOI Y∏≈ ± G’CL¡õI jªμø Gdëójå Gdà» Jõhjó G’CL¡õI , J©ô q Gd ˘ ª ˘ Ñ ˘ Éf ˘ » H ˘ ¡ ˘ É ’c˘àû°˘É± GC … N˘∏˘π c˘¡˘ô H˘ÉF˘», GC h hL˘ƒO k Gdû°μπ : eã∏å )3( GdæÉQ . É : «ø GC j †° Môj≥ . GC eÉ GdéÉfÖ Gd©ÓL» aæéó GC ¿ d¬ T°≤ s S° ˘ ∏ƒc» cù° ˘ ôY ˘ á Gd ˘ à ˘ Ñ ˘ ∏ ˘ « ˘ ≠ ’EW ˘ Ø`ÉA Gd˘ë`ôj˘≥ , he˘¡˘ÉQ… ± G’CL¡õI GdîÉU°á ’MàƒGA GdμÉQKá GC h cÉS°àîóGΩ e£Ø ÉC I Gdëôj≥ , HÉ’EV°Éaá GEd≈ J©ô q Gdù°«£ôI Y∏«¡É . h Gd¨ÉR ; eªÉ bó jƒDO… GEd≈ cƒGQç Y¶«ªá a» G’CQhGì hGdªà∏μÉä . ± eà≈ G’Efù°É¿ jëÉh∫ Gdù°«£ôI heø Gdæü°ÉFí Gdª¡ªá Gdªà©∏≤á H¡òG G’Ceô J©ô q ’ Hó Y∏≈ YÉeá eø aÉE¿ gæÉd∂ bƒGYó . dòG j£∏Ö Gdªù°ÉYóI , heà≈ ≥ HæØù°¬ Gdëôj eôGYÉJ¡É … fƒ´ eø GdëôGF≥ eæ¡É : Yæó Móhç GC É a» GS°àóYÉA GdóaÉ´ Gdªóf» Mà≈ hGE¿ GEPG dº Jàªμø eø GEWØÉA Gdëôj≥ aÓ JàôO e£∏≤ k GC ¿ HÉEeμÉf∂ GEWØÉA√ bÑπ hU°ƒ∫ QLÉ∫ eμÉaëá G , hGYà≤óä HóG Gdëôj≥ U°¨«ô k 62 Gdëôj≥. hY∏«∂ Gd≤«ÉΩ HÉdàÉd» : - Gd«≤¶á hG’S°à©óGO dÓS°àéÉHá Hû°μπ S°ôj™ hMμ«º. - aü°π Yø Gdμ¡ôHÉF» eü°óQ√. Gdà«ÉQ - hV°™ eæójπ eÑ∏π Y Cf ∏≈ Gdغ hG’ ∞ hGdõM∞ Y∏≈ G’CQV¢ HÉJéÉ√ eîôê Gd£ƒGQÇ 9 a» MÉ∫ hLƒO ONÉ¿ cã«∞. eîÉQê Gd£ƒGQÇ - S°ôYá GENÓA GdªμÉ¿ Yø Wôj≥ G’Beæá, eƒb™ GEd≈ Gdëôj≥ GdôL`ƒ´ eë`Éhdá hY`óΩ É. ’CNò GC … T°»A Mà≈ hdƒ cÉ¿ Kª«æ k OGN∏`» , fû°Ö a«¡É M`ôj≥ hH¡`É Mª`ÉΩ - a» M`Édá GfëÑ`ÉS°∂ OGN`π Z`ôaá jªμæ∂ aàí MæØ«Éä GdªÉA dàÑ∏«π GC QV°«á Gd¨ôaá hGdªù°à∏õeÉä Gdæù°«é«á a«¡É. - G’Jü°É∫ Gdôbº Y∏≈ ) 9 ( . Gdªóf» HÉdóaÉ´ Jòcô GC ¿ GC a†°π GdàóGH«ô GdƒbÉF«á eø GdëôGF≥ g» Hμπ Hù°ÉWá : - eæ™ fû°ƒH¡É. - J£Ñ«≥ GEQT°ÉOGä Gdù°Óeá GdªæÉS°Ñá. ± G’CL¡õI GS°àîóGe¡É, hJ©∏º hWô¥ Gdëójãá heø gæÉ GC Ló eø G’Cgª«á HªμÉ¿ J©ô q GC H ù°§ G’CS°Éd«Ö Gdà» J©«æ» a» GMàƒGA fû°ƒÜ Môj≥ ’ S°ªí Gd∏¬ a» eæõd» GC h eæõ∫ GC Mó L«ôGf». H©ó GC¿ GCfà¡» eø JæØ«ò GCfû°£á gò√ Gdª¡ÉQI , jàƒb™ eæ» GC¿ : GT°à©É∫ eø GdæÉJè Gdëôj≥ ± Wô¥ e™ Gdà©Éeπ Gdõjƒä . - GCJ ©ô q - GC càû°∞ Jù°ôÜ Gd¨ÉR H£ôj≤á U°ë«ëá . GT°à©É∫ eø GdæÉJè GdÑù°«§ G dëôj≥ cÉaí Gdõjƒä . - GC GC Y» - GC Gdëμ«º Yæó Móhç Gdëôj≥ hJù°ôÜ Gd¨ÉR . gª«á Gdàü°ô± Gdù°ôj™ 72 GT°à©É∫ eø GdæÉJè GdÑù°«§ GMàƒGA Gdëôj≥ Gdõjƒä . fû°É• ) 1 ( : : GCV°«∞ GCV°«∞ e©∏ƒeÉJ» GEd≈ GEd≈ e©∏ƒeÉJ» : GE¿ GS°à©ªÉ∫ Gdõjƒä GEd≈ GEeÉ Hû°μπ eÑÉT°ô JôL™ Gd£©ÉΩ Yø W¡» GdæÉLªá GdëôGF≥ e©¶º GC GdªÓHù¢ GC GEd≈ eÓeù°á h aƒ• Gdª£Ñï d∏æÉQ . hbó Jàù°ÑÖ h Gdógƒ¿ Hü°ƒQI NÉWÄá , hGEeÉ GEU°ÉHÉä N£«ôI Gd eø HÉd©ójó GEdëÉ¥ Gd†°ôQ a» gò√ GdëôGF≥ ªæÉR∫ , hbƒ´ ha«Éä . h’MàƒGA Gdëôj≥ GdÑù°«§ , hHü°ƒQI S°ôj©á jªμø GJÑÉ´ Wôj≤á J¨£«á G’EfÉA Gdëôj≥ cªÉ a» Gdû°μπ )4( , GC Gdªû°à©π H¨£ÉA GC cÑô eæ¬ , GC h H£Éf«á h J¨£«à¬ GC ¿ J≤∏π eø H؃Wá eÑ∏á. hgò√ Gd£ô¥ e ø T° ÉC f ¡É GC Of≈ Mó GEd≈ d∏ëôj≥ GdØôO aôU¢ J©ôV¢ eªμø, aÉdਣ«á J©ªπ Y∏≈ eæ™ ONƒ∫ Gd¡ƒGA . Gdû°μπ : H£Éf«á )4( Gdëôj≥ . : GCJæ`Ѭ GCJæ`Ѭ GEd`≈ GEd`≈ : Gd«≤¶á hG’S°à©óGO dÓS°àéÉHá Hû°μπ S°ôj™ hMμ«º . YóΩ GS°àîóGΩ GdªÉA ’EWØÉA Gdõjâ Gdªû°à©π ; ’ Cf ¬ jù°ÉYó Y∏ ≈ RjÉOI G’T°à©É∫, HÉ’EV°Éaá GEd≈ GC ¿ GdªÉA jàù°ÑÖ a» G ’C¿ Gdõjâ Gfàû°ÉQ Gd∏¡Ö aƒ¥ Gdõjâ Gdªëàô¥ . hf¶ô k GC N ∞ eø GdªÉA aÉEf¬ S°ƒ± j£Øƒ Y∏≈ S°£í GdªÉA ; eªÉ 82 jƒDO… GEd≈ J£Éjô Gdõjâ Gdù°ÉNø hJæÉKô Gdù°ÉFπ Gdª∏à¡Ö Y∏≈ Gdû°îü¢ hY∏≈ LƒGfÖ Gdª£Ñï . Gdæ«ôG¿ É ’fó’´ a» Gdªû°à©∏á hGdóa™ H¡É YóΩ Jëôj∂ Gdª≤ÓI GEd≈ NÉQê Gdªæõ∫ JØÉOjk GdªæÉW≥ eø G’CNôi Gdªæõ∫ . É eø Pd∂ , Hë«å ’ jƒDO… Gd∏éƒA GEd≈ GEWØÉA Gdëôj≥ a» MÉdá GEPG cÉ¿ Gdû°îü¢ eàªμæ k fØù°¬ GC b«Ée¬ Hª¡ªá G’EWØÉA GEd≈ GEjòGA h RjÉOI G’T°à©É∫ . a`ƒ¥ Gdª≤`ÓI ’EWØÉA eÑ`ÉT°ôI Oa©á hGM`óI YóΩ hV°™ Gd¨£ÉA Gdõjâ Gdª`û°à©π ; É dàƒL¬ fëƒ GdæÉQ Gdû°îü¢ . JéæÑ`k h Gdóg`ƒ¿ GC Gdõjƒä eø cÑ«ôI e≤ÉOjô GS°àîóGΩ Yæó eù°£ëá e≤ÓI YóΩ GS°à©ªÉ∫ a» k eø eõhOI Yª«≤á H¨£ÉA. e≤ÓI Pd∂ Jù°à©ªπ Gd£¡» , hHó’ YóΩ Jù°î«ø Gdõjƒä GC h Gdógƒ¿ GC cãô eªÉ jæÑ¨» ; Pd∂ ’ Cf ¡É JÑó GC a» Gdàëƒ∫ GEd≈ ONÉ¿ Yæ`óeÉ Jü°π OQL`á MôGQJ¡`É GEd≈ fëƒ 402OQL`Éä S°«∏«õjá , hjªμø GC ¿ Jû°à©`π H©ó dë ¶Éä eø GfÑ©Éç GdóNÉ¿. 92 GCM`àÉê GEd`≈ GCM`àÉê GEd`≈ - GEfÉA W¡» , Z£ÉA GC - aƒWá . cÑô eø Méº G’EfÉA . e¡ÉQGä eà†°ªæá : - G’YàªÉO GdòGä Y∏≈ hJëªπ Gdªù°ƒDhd«á . - GJîÉP Gd≤ôGQ . - S°ôYá Gdàü°ô± . HÉ’BJ`» GCb`ƒΩ : GCb`ƒΩ HÉ’BJ`» : GCJóQÜ Gdëôj≥ GdæÉJè GEWØÉA Y∏≈ HÉdàªã«π eø Rjâ eû°à©π eàÑ© k É GdàÉd» : - GEWØÉA eü°óQ GdëôGQI. - J¨£«á GdƒYÉA Gdò… H¬ Rjâ eû°à©π HƒYÉA GB Nô GC cÑô eæ¬ dëéÖ Gd¡ƒGA Yæ¬ , G Yø Gdéù°º f¡Éjà¡É GEd≈ É eø Gdª≤ÓI HóGjá H©«ó k Hë«å GC L© ∏¬ jæõd≥ JóQjé« v É . h JÑ∏«π aƒWá hYü°ôgÉ a» MÉdá YóΩ hLƒO GC Mà≈ Jμàªπ Gdਣ«á JªÉe k hGJÑÉ´ GdàÉd» : Z£ÉA , - e`ù°∂ Gd`؃Wá Gd`ªÑà∏á GC h H`£Éf«á Gd`ëôj≥ H`ë«å GC Mª» Gd«ójø e`ø Gd`æÉQ , c`ªÉ a`» Gdû°μπ ) 5( . - hV°™ Gd؃Wá Hôa≥ Y∏≈ G’EfÉA Gdªû°à©π , hYóΩ Jëôjμ¡É Mà≈ Gdà ÉC có GdàÉΩ eø Gf£ØÉA GdæÉQ. GCbØπ GCS°£ƒGfá Gd¨ÉR . - Gdû°μπ ) 5( : Wôj≤á G’EWØÉA
M.1
M.1.1.3.7 (missing numbers in patterns 50-100)
M 1.1.4.4 ( subtraction of 1 digit no from a 2 digit no)
M.1.1.2.3 (place value)