KULIAH_SET 1_QUESTION_AM015 PDF

From A to Z AM015 Session 2023/2024 PERANCANGAN SET 1_KULIAH SECTION A [25 marks] NO. CHAPTER MARKS REMARKS 1. Chapter 6 8 - JA: ba...

From A to Z AM015 Session 2023/2024 PERANCANGAN SET 1_KULIAH SECTION A [25 marks] NO. CHAPTER MARKS REMARKS 1. Chapter 6 8 - JA: basic ( a, d , Tn and S n ) 2. Chapter 7 10 -simple interest: P and I -simple discount: D, Proceed, equivalent 3. Chapter 7 7 -compound interest: j, effective rate, interest earn SECTION B [75 marks] NO. CHAPTER MARKS REMARKS 1. Chapter 1 11 -Index base 2+2 answers -surds only 1 answer 2. Chapter 1 12 -log same base -log diff base 3. Chapter 2 4 -quadratic inequality 4. Chapter 2 12 -compound inequality -GOLA: Go 5. Chapter 6 13 -JG: basic ( a, r , Tn and S n ) -Applications 6. Chapter 7 8 -compound interest 7. Chapter 7 15 -House Loan A to Z SET 1 [KULIAH] TIME: 2 HOURS Masa: 2 Jam SECTION A [25 marks] This section consists of 3 questions. Answer all the questions given. 1. It is given that x, −3, ( x + 4),1,... is an arithmetic sequence. Find (a) the first term, [2 marks] (b) the common difference, [2 marks] (c) the 17 th term. [2 marks] (d) the sum of the first seven terms. [2 marks] AM015 KMKt [KUL SET 1]-1 From A to Z AM015 Session 2023/2024 2. (a) A teacher borrows RM Q from a bank that charges a simple interest rate of 3.5% per year. After five years, she has to pay back RM 28, 200. Find (i) the amount she borrowed, [2 marks] (ii) the interest for the first two years. [2 marks] (b) Raju borrows RM 8, 000 from a bank at a simple discount rate of 4% per year for 30 months. Find (i) the bank discount, [2 marks] (ii) the proceed, [2 marks] (iii) the equivalent simple interest rate to simple discount rate. [2 marks] 3. A sum of RM 50, 000 is to grow to RM 64,167.93 over five years period. If the interest is compounded monthly, find (a) the interest rate, [3 marks] (b) the effective interest rate, [2 marks] (c) the interest earned. [2 marks] SECTION B [75 marks] BAHAGIAN B [75 markah] This section consists of 7 questions. Answer all the questions given. Bahagian ini mengandungi 7 soalan. Jawab semua soalan yang diberi. 1. (a) ( ) Solve the equation 5 2 x +1 − 4 x = 16. [7 marks] (b) Solve 9 + x − x − 5 = 2. [4 marks] AM015 KMKt [KUL SET 1]-2 From A to Z AM015 Session 2023/2024 2. (a) Find the value of x which satisfies the equation: log 2 (5 − x) − log 2 ( x − 2) = 3 − log 2 (1 + x). [5 marks] (b) Solve the equation 2 log x (3) + log 3 ( x) − 3 = 0. [7 marks] 3. Solve 2 x 2 − 5 x  3. [4 marks] 4. Solve the following. (a) 3 + 4 x  6 x − 3  2 x + 13. [6 marks] (b) x + 3  2( x − 5). [6 marks] 5. (a) It is given that x,1, y, 4,8... is a geometric sequence. Find (i) the common ratio, [1 mark] (ii) the values of x and y, [3 marks] (iii) the sum of the first five terms. [2 marks] (b) Given a smartphone costing RM2000 depreciates at a rate of 10% every year. (i) Find the value of the smartphone after five years. (ii) How long it takes for the value of the smartphone to became less than RM1000. [7 marks] AM015 KMKt [KUL SET 1]-3 From A to Z AM015 Session 2023/2024 6. Nabila made an investment of RM250, 000 in a bank. The interest rate offered by the bank is 9.5% per annum compounded quarterly. Calculate, (a) the amount of the investment after five years, [2 marks] (b) the interest earned after eight years, [4 marks] (c) the effective interest rate. [2 marks] 7. Farhan has purchased his dream house at a price of RM950, 000 by paying 10% down payment and the balance to be paid by taking a loan from a bank with monthly installments for 25 years at a rate of 4% compounded monthly. Find (a) the down payment, [1 mark] (b) the loan amount, [1 mark] (c) the monthly payment Farhan need to pay, [3 marks] (d) the effective interest rate charged by the bank, [2 marks] (e) the total interest paid by Farhan for his house, [3 marks] (f) the total amount paid by Farhan for his house, [2 marks] (g) If he missed the first five payments, how much he has to pay on the sixth payment to settle all the outstanding. [3 marks] Final Answer SECTION A 1. (a) −5 (b) 2 (c) 27 (d) 7 2. (a) RM24, 000 , RM1,680 (b) RM800 , RM7200 , 4.44% 3. (a) 5% (b) 5.12% (c) RM14,167.93 SECTION B 45  1 1. (a) 1,3 (b) 2. (a) 3 (b) 3,9 3.  −, −   3,  ) 4  2 1 31 4. (a) ( 3, 4 ) (b) ( −,13) 5. (a) 2, , 2, (b) 8 2 2 6. (a) RM399, 777.46 (b) RM279,840.66 (c) 9.84% 7. (a) RM95, 000 (b) RM855, 000 (c) RM4513 (d) 4.07% (e) RM498,900 (f) RM1, 448,900 (g) RM27,304.66 AM015 KMKt [KUL SET 1]-4