Assalamualaikum dan Salam Sejahtera
Ini adalah usaha saya untuk cuba membantu pelajar2 PMR yang lemah dalam BI untuk meneyelesaikan soalan2 Matematik PMR. Anda dibenarkan forwardkan email saya ini tetapi tidak dibenarkan menggunakannya untuk tujuan komersial. Anda juga boleh ubah soalan2 saya ini untuk menambahkan lagi soalan2 yang boleh anda berikan kepada anak-anak atau adik-adik anda. Jika ada sebarang kesilapan/kelemahan atau cadangan sila emailkan kepada saya di [email protected] =========================================== Latihan Matematik PMR Percentage / Peratusan 1. Ali just bought some durians at the market this morning and he gave 20 percent of it to his neighbour.Ali's neighbour received 30 durians from Ali. How many durians did Ali buy? 2. There are 30 students in a class and 30% of them are Malays. How many Malay students are there in the class? 3. Zahid's parent give him RM20 per week for expenses but Zahid uses only 80% of the money and saves the balance in the bank. How much money would Zahid be able to save in the bank after 4 weeks? 4. Joyah is a saleswoman and her salary is based on the sales she makes in a month. She would receive 20% from the sales she makes. This month she received RM3,000 as the commision from the sales she has made. How much sales has she made this month? 5. Pak Ali operates a grocery store and he just bought 100 boxes of detergent at a cost of RM3.50 per box. He plans to sell it at a profit of 20% per box. How much should the selling price of a box of detergent be? Vocabulary 1. bought telah membeli 2. market pasar 3. recived telah menerima 4. expenses perbelanjaan 5. save menyimpan 6. saleswoman jurujual wanita 7. commission komisen. Peratusan yang dapat hasil jualan sesuatu barang/perkhidmatan 8. sales jualan 9. operates menjalankan 10. grocery store kedai runcit 11. detergent pencuci 12. plans bercadang 13. at a cost pada kos / harga beli 14. profit keuntungan 15. selling price harga jualan 16. How much? - Berapa banyak? Tips jawab soalan 1. Cari jumlah asal barangan atau benda dalam soalan.Kalau diberi itu merupakan jumlah keseluruhan atau merupakan 100%. 2. Kalau tak diberi jumlah keseluruhan maka biasanya soalan itu memerlukan anda mencari jumlah 100% itu. 3. Baca betul2 soalan yang diberi dan semak jumlah asal dan berapa jumlah peratus yang soalan mahukan. Contoh penyelesaian 1. Ali has 50 apples and he found out that 20 % of it is rotten. How many good apples he has left? Analisa soalan:- 1. Objek yang ditanya Apple he has left 2. Jumlah keseluruhan yang asal 50 apples 3. Peratusan yang rotten atau rosak 20% 4. Apa yang dicari / ditanya soalan? - Berapa apple yang tidak busuk (rotten) yang tinggal. 5. Macam mana nak cari ? 1. Jumlah apple yang tak busuk = Jumlah keseluruhan asal Jumlah yang rotten 2. Number of rotten apple = 20% of all the apple Penyelasaian 1. Kita tahu 50 apples = All the apples = 100% 2. Nak cari 20% from the 100% atau 20% from the 50 apples Solution 100% = 50 20% = 20/100 * 50 20 X 50 100 20 X 50 1 (cancel out the 50 n 100 / matikan 50 dengan 100) 100 2 20 2 = 10 Therefore 20% of 50 apples is 10 apples. But THIS IS NOT THE ANSWER sebab soalan ialah `How many good apples he has left? Dan Jumlah apple yang tak busuk = Jumlah keseluruhan asal Jumlah yang rotten Answer Number of good apples left = Total number of apples Number of rotten apples ** kita dah kira yg Number of rotten apples = 10 SO Number of good apples left = Total number of apples Number of rotten apples Number of good apples left = 50 10 = 40 apples Solution to Questions 1. Ali just bought some durians at the market and he gives 20 percent of it to his neighbour.Ali's neighbour received 30 durians from Ali. How many durians did Ali buy? Analisa soalan:- 1. Objek yang ditanya How many durians did Ali buy. 2. Jumlah keseluruhan yang asal Not known. Tidak diketahui 3. Percentage of durians given to Ali's neighbour Peratusan yang diberi kepada jiran Ali 20% = 30 durians i.e. 30 durians = 20% of total durians Ali bought 4. Apa yang dicari / ditanya soalan? - How much durians did Ali buy? Berapa banyak durian yang Ali beli? Macam mana nak cari ? 1. We know that 30 durians = 20% of total durians Ali bought 2. Kita tahu yang 30 durians = 20% dari jumlah keseluruhan durian yang Ali telah beli Use the above information to calculate the total number of durians that Ali bought. Penyelesaian 1. We know that 30 durians = 20% from total Kita tahu 30 durians = 20% dari jumlah keseluruhan durian yang telah dibeli 2. Gunakan maklumat itu untuk cari jumlah 100%. Gunakan formula berikut:- 20% 30 durians 100% how many durians? 100 X 30 20 = 150 durians Answer = Ali bought 150 durians. To double check answer. 20% of the answer must be 30 durians i.e. 20% from 150 must be 30. Check: 20 X 150 100 = 30 durians. So, the answer 150 durians is correct!
