Basic Mathematics Final Exam PDF - July-December 2024 - IKM Lumut

MTM10012 BASIC MATHEMATICS JULY - DECEMBER 2024 INSTITUT KEMAHIRAN MARA LUMUT UNIT PENILAIAN DAN PERSIJILAN LO1 T1 – FINAL EXAMINATION JULY - DECEMBER 2024 SESSION COURSE : MTM10012...

MTM10012 BASIC MATHEMATICS JULY - DECEMBER 2024 INSTITUT KEMAHIRAN MARA LUMUT UNIT PENILAIAN DAN PERSIJILAN LO1 T1 – FINAL EXAMINATION JULY - DECEMBER 2024 SESSION COURSE : MTM10012 – BASIC MATHEMATICS DATE : DECEMBER 2024 DURATION : 2 HOURS PROGRAMME : ITW DO NOT OPEN THIS QUESTION BOOKLET UNTIL YOU ARE TOLD TO DO SO Instructions : 1. This question paper consists of SIX (6) questions. 2. Answer FOUR (4) out of SIX (6) questions. 3. You may use a non–programmable scientific calculator. 4. Answer the questions in answer sheet provided. This booklet contains 9 printed pages @2024 Hak cipta IKM Lumut [Next page  MTM10012 SECTION A This part consists of six (6) questions. Answer four (4) questions only. [Bahagian ini terdiri daripada enam (6) soalan. Jawab empat (4) soalan sahaja.] 1. a. Solve the following by using BODMAS. [Selesaikan setiap berikut menggunakan BODMAS.] i. 56 + 14 × 8 (2 marks) ii. 12 ÷ 4 + 2 - 5 (2 marks) iii. 100.92 – (2.6 + 4.8) ÷ 0.5 (3 marks) b. Rykal bought a pair of shoes at RM155 with discount of 15%. How much did he have to pay? [Rykal membeli sepasang kasut pada harga RM155 dengan diskaun 15%. Berapakah wang yang beliau perlu bayar?] (3 marks) 2 [Next page  MTM10012 2. a. Evaluate the following fractions in a lowest term. [Nilaikan pecahan berikut dalam sebutan terendah.] 6 2 3 i. − + 7 7 7 (2 marks) 5 2 ii. × 9 3 (3 marks) b. Solve for x. [Selesaikan x.] 𝑥 6 = 8 15 (2 marks) c. Given that m : n = 4 : 16. Find n when m = 2. [Diberi m : n = 4 : 16. Cari n bila m = 2.] (3 marks) 3 [Next page  MTM10012 Question 3(a) is based on Figure 1. [Soalan 3(a) berdasarkan Rajah 1.] 18p – 6q + 15p + 12 Figure 1 3. a. For the algebraic expression in Figure 1 above, state: [Daripada ungkapan algebra dalam Rajah 1 di atas, nyatakan:] i. Variable. [Pembolehubah.] (1 mark) ii. Number of terms. [Bilangan sebutan.] (1 mark) iii. Like terms. [Sebutan serupa.] (1 mark) b. Simplify the following expression. [Permudahkan ungkapan berikut.] i. 3x + 6 – 2x – 5 (2 marks) 10𝑎2 𝑏𝑐 ii. 5𝑎𝑐 (2 marks) 4 [Next page  MTM10012 c. Solve the equation: 2x + 47 = 64. [Selesaikan persamaan: 2x + 47 = 64.] (3 marks) 4. a. State the type of the angles below. [Nyatakan jenis sudut di bawah.] i. 360 (1 mark) ii. 1800 (1 mark) iii. 2740 (1 mark) Question 4(b) is based on Figure 2. [Soalan 4(b) berdasarkan Rajah 2.] Figure 2 b. Calculate the size of angle x. [Hitungkan saiz sudut x.] (2 marks) 5 [Next page  MTM10012 Question 4(c) is based on Figure 3. [Soalan 4(c) berdasarkan Rajah 3.] 1200 300 z Figure 3 c. Find the size of angle z. [Cari saiz sudut z.] (3 marks) d. Carol bought a reference book. It is 15cm length and 20cm wide. What is the diagonal length of a book? [Carol membeli sebuah buku rujukan. Panjangnya 15cm dan lebarnya ialah 20cm. Berapakah panjang pepenjuru bagi buku itu?] Hint: c 2 = a2 + b2 (2 marks) 6 [Next page  MTM10012 Question 5(a) is based on Figure 4. [Soalan 5(a) berdasarkan Rajah 4.] 8cm 4cm 6cm 4cm 11cm Figure 4 5. a. Calculate the perimeter for the shape above. [Hitungkan perimeter bagi bentuk di atas.] Hint: P = 2l + 2w (3 marks) 7 [Next page  MTM10012 Question 5(b) is based on Figure 5. [Soalan 5(b) berdasarkan Rajah 5.] 10cm 10cm Figure 5 b. Find the area of the shape above. [Cari luas bagi bentuk di atas.] Hint: A square = s2 A circle = πr2 (4 marks) c. What is the volume of cone whose base has radius of 4m and height of 7m? [Apakah isipadu kon yang mempunyai jejari tapak 4m dan tinggi 7m?] 1 Hint: V = 3 𝜋𝑟 2 ℎ (3 marks) 8 [Next page  MTM10012 6. a. Nina has 7.25kg of apples. What’s the weight of apples in grams? [Nina mempunyai 7.25kg epal. Apakah berat epal dalam gram?] Hint: 1kg = 1000g (2 marks) b. Convert 65 meter to feet. [Tukarkan 65 meter kepada kaki.] Hint: 1 foot = 0.3048 meter (2 marks) c. Convert 2.6 gallons to pints. [Tukarkan 2.6 gelen kepada pint.] Hint: 1 gallon = 4 quarts 1 quarts = 2 pints (4 marks) d. The carnival started at 5.15 pm and ended at 11.45 pm. What was the duration of the carnival? [Satu pesta bermula pada 5.15 petang dan berakhir pada 11.45 malam. Berapakah tempoh masa bagi pesta tersebut?] (2 marks) (Total marks = 40 marks) END OF QUESTIONS 9 [Next page