Yaadannoo boqonnaa fi gaaffii shaakalaa
Wanti fuula kana irra jiru hundi boqonnaa 5 kitaaba Herrega kutaa 12 tiif: wanta boqonnaan haguugu, yaadannoo gabaabaa, gaaffii shaakalaa deebii isaanii waliin, fi viidiyoo barnootaa bakka jirutti.
Kaardiiwwan fuula Herrega kutaa 12 irratti boqonnaa kana jala galmaa'an. Tokko tokkoon bani.
Yoom akka itti fayyadamtu
Yommuu Reeshoonni lama wal-qixa ta'anitti gatii hin beekamne baruuf kana fayyadami, as keessatti b fi d zeeroo ta'uu hin qaban.
Of eeggadhu
Tartiiba Extremes fi Means sirriitti eegi. Lakkoofsota Reeshoo tokko keessa jiran walitti baay'isuun dogoggora fida.
Grade 12 Mathematics, fuula 303-413 irraa qophaa'e; osoo hin ba'in dura yeroo lama mirkanaa'e
| Gosa Variation | Proportionality | Unkaa Constant | Amala Constant |
|---|---|---|---|
| Direct variation | Ratio dhaabbataa ta'ee hafa | ||
| Inverse variation | Product dhaabbataa ta'ee hafa |
Yoom akka itti fayyadamtu
Gatiin lamaan yoo kallattiin dabalan yookiin faallaa yoo ta'an unkaa variation sirrii ta'e qindeessuuf gabatee kana fayyadami.
Of eeggadhu
Inverse variation keessatti kan dhaabbataa ta'u baay'ata isaaniiti malee qoodama isaanii miti.
Grade 12 Mathematics, fuula 303-413 irraa qophaa'e; osoo hin ba'in dura yeroo lama mirkanaa'e
Yoom akka itti fayyadamtu
Hamma daballii yookiin hir'ina qabeenya tokkoo gatii isa jalqabaa wajjin wal-bira qabuun herreguuf unkaa kanatti fayyadami.
Of eeggadhu
Yeroo hundaa Original amount qoodaa jala galchi malee Final amount hin fayyadamin. Firriin negaatiivii ta'e saffisa hir'inaa agarsiisa.
Grade 12 Mathematics, fuula 303-413 irraa qophaa'e; osoo hin ba'in dura yeroo lama mirkanaa'e
Yoom akka itti fayyadamtu
Yommuu safartuuwwan yuuniitii adda addaa qaban Reeshoon wal-bira qabdu dogoggora kana of eeggadhu.
Of eeggadhu
Hamma lamaan gara yuuniitii walfakkaataatti utuu hin jijjiirin matumaa walitti hin qoodin. Fakkeenyaaf, Qarshii 6 fi saantima 50 wal-bira qabuuf dura qarshii 6 gara saantima 600 jijjiiruun 600 fi 50 ta'uu qaba.
Grade 12 Mathematics, fuula 303-413 irraa qophaa'e; osoo hin ba'in dura yeroo lama mirkanaa'e
Gaaffii filannoo 10 boqonnaa kana irratti barreeffaman, tokkoon tokkoon isaanii deebii fi sababa qabu. Deebii banuu dura yaali. Gaaffiin kun Ingiliffaa tiin.
Gaaffii 1
Ashamo borrows Birr 18,500 at a simple interest rate of 9.5% per year for 2 years. How much interest will he pay?
Deebii: B Birr 3515
Sababa
Use the simple interest formula I = Prt. Here P = 18,500, r = 9.5% = 0.095 and t = 2 years. So I = 18500 x 0.095 x 2 = 3515. The interest is Birr 3515. Birr 22015 is the total amount to repay, not the interest.
Gaaffii 2
Find the amount of turnover tax on a Birr 400,000 sale when the turnover tax rate is 2%.
Deebii: C Birr 8000
Sababa
Use Percentage = base x rate. The base is Birr 400,000 and the rate is 0.02. So 400,000 x 0.02 = 8000. The tax is Birr 8,000.
Gaaffii 3
Allocate Birr 1500 in the continued ratio 2:3:7. How much does each share receive?
Deebii: A Birr 250, Birr 375 and Birr 875
Sababa
First add the parts: 2 + 3 + 7 = 12. Then find the value of one part: 1500 / 12 = 125. Multiply each part by 125: 2 x 125 = 250, 3 x 125 = 375 and 7 x 125 = 875.
Gaaffii 4
Adane scored 12 goals in 4 Ethiopian premier league games. What is his average rate of goals per game?
Deebii: B 3 goals per game
Sababa
A rate is a quotient of two quantities. Divide the goals by the games: 12 / 4 = 3. Adane scored an average of 3 goals per game.
Gaaffii 5
On a house construction plan, 1 cm on the paper represents 25 meters on the ground. What distance on the ground is represented by 3.20 cm on the paper?
Deebii: C 80 m
Sababa
First convert 25 m to 2500 cm. Set up the proportion 1 cm / 2500 cm = 3.20 cm / x. Then x = 2500 x 3.20 = 8000 cm. Since 8000 cm = 80 m, the answer is 80 m.
Gaaffii 6
A boutique bought a T-shirt for Birr 546. It wants a markup of 30% on the selling price (retail). What is the selling price?
Deebii: C Birr 780
Sababa
Cost is 100% - 30% = 70% of the selling price. So 546 = 0.70 x selling price. Selling price = 546 / 0.70 = Birr 780.
Gaaffii 7
During festive shopping, edible oil is sold at a 20% discount of Birr 175.00 per liter. What was the original (regular) price?
Deebii: B Birr 875
Sababa
The discount is 20% of the regular price, and the discount is Birr 175. So 0.20 x regular price = 175. Regular price = 175 / 0.20 = Birr 875. The selling price is then Birr 700.
Gaaffii 8
Under constant temperature, the volume of a gas is inversely proportional to its pressure. The volume is 4 m3 at a pressure of 1 kilopascal. What is the pressure when the volume is 3 m3 at the same temperature?
Deebii: B 1.33 kilopascal
Sababa
For inverse proportion, P1 x V1 = P2 x V2. So 1 x 4 = x x 3, which gives x = 4/3 = 1.33. The volume decreased, so the pressure increased to 1.33 kilopascal.
Gaaffii 9
Tekletsadik borrowed Birr 1500 from his brother-in-law and agreed to pay back Birr 1650 one year later. What rate of simple interest is he paying?
Deebii: B 10%
Sababa
The interest is 1650 - 1500 = Birr 150. Use r = I / (P x t) = 150 / (1500 x 1) = 0.1. So the rate is 0.1, or 10%.
Gaaffii 10
A bank pays 9.5% nominal interest compounded monthly. What is the equivalent annual (effective) rate, rounded to two decimal places?
Deebii: C 9.92%
Sababa
Find the value of Birr 100 after one year at 9.5% compounded monthly: A = 100(1 + 0.095/12)12 = Birr 109.92. The effective rate r satisfies 1 + r = 1.0992. So r = 0.0992, which is 9.92%.
Appiin boqonnaa kana irratti gaaffii 12 qaba; utuu hojjettuu ni sirreessa. Kan asii jiran 10 jalqabaa ti.
Boqonnaan 5 Maxxansa Ministeera Barnootaa keessatti fuula 303 hanga fuula 413 ti.
Maxxansa Ministeera Barnootaa, Ingiliffaa, Fuula 426
Temari boqonnaa kana gara shaakala yeroon daangeffametti jijjiira; utuu hojjettuu ni sirreessa; wanti si hin galinis barsiisaa AI tiin ni ibsama.
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