Unit 1: Number and Algebra
Topic 1.4: Financial Mathematics Questions
Practice 20 exam-style questions for IB Math AA SL Topic 1.4. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
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2025
Omar invests $6000 at 4% interest compounded annually.
Write an expression in the form 6000 × qn for the amount in the account at the end of n years.
Write an expression in the form 6000 × qn for the amount in the account at the end of n years.
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2026
Write down an expression for its value after years.
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Jonas invests $9000 at 4.8% per year, compounded quarterly. Find the value of the investment after 7 years, to the nearest dollar.
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2025
An account grew from $6000 to $7592 over 6 years.
Find the total interest received in the 6 years.
Find the total interest received in the 6 years.
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2025
A deposit of $2500 earns 3.5% per year, compounded annually.
Write down an expression, in the form 2500 × qn, for its value after n years.
Write down an expression, in the form 2500 × qn, for its value after n years.
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2026
Find the value of the investment after 5 years, to two decimal places.
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2025
A loan grows at per year, compounded monthly.
Write down the multiplier applied to the balance each month.
Write down the multiplier applied to the balance each month.
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2025
An amount of money is invested at per year, compounded quarterly, so that after one year it is multiplied by .
Write down the value of .
Write down the value of .
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2026
Write down an expression for its value after years.
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2025
A deposit of $2500 is worth $2985 after five years of compound interest.
Find the interest earned over the five years.
Find the interest earned over the five years.
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2025
Omar invests $6000 in an account that pays 4% interest compounded annually.
Determine the amount in the account at the end of 6 years, giving your answer to the nearest dollar.
Determine the amount in the account at the end of 6 years, giving your answer to the nearest dollar.
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A car is bought for $32 000 and its value depreciates by 15% each year. Find its value after 4 years, to the nearest dollar.
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$4500 is invested at a nominal annual rate of 6%, compounded quarterly. Find the number of whole years before the investment first exceeds $6000.
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$7000 grows to $9100 in 6 years with interest compounded annually. Find the annual interest rate, to two decimal places.
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$9000 is invested at 4% per year, compounded annually. Find the number of whole years before the investment first exceeds $12 000.
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A car bought for $28,000 depreciates at 14% per year. Find its value after 6 years, giving your answer to the nearest dollar.
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A machine depreciates at a constant annual rate. It was bought for $45,000 and is worth $19,500 after 5 years. Find the annual rate of depreciation, correct to three significant figures.
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A laptop loses 12% of its value every year. Find the number of complete years after which its value first falls below half of its original value.
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$2500 is invested at a nominal annual rate of 3.6%, compounded monthly. Find its value after 2 years, to the nearest cent.
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An investment of $4000 earns 6% per year, compounded annually. Find its value after 5 years, to the nearest cent.
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