Podcast
Questions and Answers
What is the amount of the investment after five years at a 9.5% annual interest rate compounded quarterly?
What is the amount of the investment after five years at a 9.5% annual interest rate compounded quarterly?
How much is Farhan's down payment for his house priced at RM950,000?
How much is Farhan's down payment for his house priced at RM950,000?
In an arithmetic sequence with terms x, −3, (x + 4), 1, what is the first term of the sequence?
In an arithmetic sequence with terms x, −3, (x + 4), 1, what is the first term of the sequence?
What is the effective interest rate charged by the bank for Farhan's loan?
What is the effective interest rate charged by the bank for Farhan's loan?
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What is the total amount paid by Farhan for his house after 25 years?
What is the total amount paid by Farhan for his house after 25 years?
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What is the common difference of the arithmetic sequence x, −3, (x + 4), 1?
What is the common difference of the arithmetic sequence x, −3, (x + 4), 1?
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If Farhan missed the first five payments, how much does he owe on the sixth payment to settle all outstanding payments?
If Farhan missed the first five payments, how much does he owe on the sixth payment to settle all outstanding payments?
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What is the sum of the first seven terms of the arithmetic sequence defined as x, −3, (x + 4), 1?
What is the sum of the first seven terms of the arithmetic sequence defined as x, −3, (x + 4), 1?
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If a teacher borrows RM Q from a bank charging 3.5% simple interest per year, how much will she pay back after 5 years if it amounts to RM 28,200?
If a teacher borrows RM Q from a bank charging 3.5% simple interest per year, how much will she pay back after 5 years if it amounts to RM 28,200?
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What is the monthly payment Farhan needs to make for his home loan?
What is the monthly payment Farhan needs to make for his home loan?
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What is the formula to calculate the simple interest earned on an amount borrowed over a period?
What is the formula to calculate the simple interest earned on an amount borrowed over a period?
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What is the total interest paid by Farhan for his house over the loan term?
What is the total interest paid by Farhan for his house over the loan term?
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After borrowing RM Q for 5 years at 3.5% simple interest, what would the total interest accrued over 2 years be?
After borrowing RM Q for 5 years at 3.5% simple interest, what would the total interest accrued over 2 years be?
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What is the loan amount Farhan needs after his down payment for the house?
What is the loan amount Farhan needs after his down payment for the house?
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In the context of simple interest, what would RM Q represent?
In the context of simple interest, what would RM Q represent?
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What is the additional payment required to repay RM 28,200 after borrowing RM Q at 3.5% interest for 5 years?
What is the additional payment required to repay RM 28,200 after borrowing RM Q at 3.5% interest for 5 years?
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What is the bank discount for Raju if he borrows RM 8,000 at a simple discount rate of 4% per year for 30 months?
What is the bank discount for Raju if he borrows RM 8,000 at a simple discount rate of 4% per year for 30 months?
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What is the proceed amount Raju will receive after the bank discount is applied?
What is the proceed amount Raju will receive after the bank discount is applied?
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If a sum of RM 50,000 grows to RM 64,167.93 over five years, what is the monthly interest rate assuming compounding monthly?
If a sum of RM 50,000 grows to RM 64,167.93 over five years, what is the monthly interest rate assuming compounding monthly?
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What is the effective annual interest rate if the nominal interest rate is 6% compounded monthly?
What is the effective annual interest rate if the nominal interest rate is 6% compounded monthly?
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In the equation 5^{2x+1} - 4x = 16, what is the value of x?
In the equation 5^{2x+1} - 4x = 16, what is the value of x?
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What is the common ratio in the geometric sequence x, 1, y, 4, 8?
What is the common ratio in the geometric sequence x, 1, y, 4, 8?
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How many years will it take for a smartphone depreciating at 10% per year to be valued at less than RM 1,000 if its initial cost is RM 2,000?
How many years will it take for a smartphone depreciating at 10% per year to be valued at less than RM 1,000 if its initial cost is RM 2,000?
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What is the interest earned if RM 50,000 grows to RM 64,167.93 over five years?
What is the interest earned if RM 50,000 grows to RM 64,167.93 over five years?
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Study Notes
Section A (25 Marks)
- The section contains three questions, all of which must be answered.
- Question 1 involves an arithmetic sequence, asking for the first term, common difference, 17th term, and sum of the first seven terms.
- Question 2(a) concerns a simple interest loan, calculating the borrowed amount and interest for the first two years.
- Question 2(b) deals with calculating the simple discount, finding the proceeds, and the equivalent simple interest rate.
- Question 3 considers compound interest. Calculate the interest rate, effective interest rate, and interest earned for a given sum of money.
Section B (75 Marks)
- This section consists of seven questions, all requiring solutions.
- Question 1(a) and (b) are algebraic equations requiring solutions.
- Question 2(a) involves solving an equation with logarithms, 2(b) is log equation needing solution.
- Question 3 is focused on solving a quadratic inequality.
- Question 4 involves solving compound inequalities.
- Question 5(a) relates to a geometric sequence, calculating the common ratio, determining values for x and y, and the total of the first five terms.
- Question 5(b) is a word problem involving depreciation of a smartphone based on a given percentage, and requires calculating value after a given time and the time it takes for the smartphone to decrease to a specified value.
- Question 6 examines compound interest, calculating the invested sum after five years, the accrued interest after eight years, and the effective interest rate.
- Question 7 concerns a loan for a house, calculating the down payment, loan amount, monthly payment, effective interest rate, total interest paid, whole cost of the house, and calculating the amount due on a missed payment(s) based on monthly installment payment, compounded monthly.
Additional Information
- Time Allocated: 2 hours
- Time Per Question: Varied according to question complexity
- Marking Scheme: Marks are given for each question or part of a question, to allow for a portion of the question to be solved even if some parts are not fully understood.
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Description
This quiz covers key topics from Class 10 Mathematics, including arithmetic sequences, simple and compound interest, and logarithmic equations. Students will solve various problems related to these concepts to demonstrate their understanding and skills in mathematics.
