DP Mathematical Studies Questionbank

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• 17N.1.sl.TZ0.9b: Calculate the difference between the original price of the bicycle and the total amount Juan will...
• 17N.1.sl.TZ0.9a: Calculate the original price of the bicycle.
• 16M.1.sl.TZ1.12b: Carmen also deposited \({\text{ARS}}\) in a bank account. Her account pays a nominal annual...
• 16M.1.sl.TZ1.12a: In this question give all answers correct to two decimal places. Diogo deposited \(8000\)...
• 16N.1.sl.TZ0.15c: Find the value of \(n\).
• 16N.1.sl.TZ0.15b: Find the value of \(k\).
• 16N.1.sl.TZ0.15a: Write down, and simplify, an expression for the car’s value when Gabriella purchased it.
• 10M.1.sl.TZ2.10a: Find the interest Astrid has earned during the five years of her investment. Give your answer...
• 10M.2.sl.TZ1.5A.a: Calculate the value of his investment at the end of the third year for each investment option,...
• 10N.2.sl.TZ0.4B.a: Show that after three years Daniel will have $1109.70 in his account, correct to two decimal places.
• 10N.2.sl.TZ0.4B.b: Write down the interest Daniel receives after three years.
• 11N.1.sl.TZ0.11b: Kunal borrows 200 000 Indian rupees (INR) from a money lender for 18 months at a nominal annual...
• 12N.1.sl.TZ0.14b: Maddison invests 15 000 AUD in a bank that offers compound interest at a nominal annual interest...
• 12M.1.sl.TZ1.15b: Option 2 offers a nominal annual interest rate of 4 %, compounded monthly. Find the amount that...
• 10M.2.sl.TZ2.3b: Show that Ying will have 7545 USD in the bank at the end of 10 years.
• 10M.2.sl.TZ2.3c: Find the number of complete years it will take for Ying’s investment to first exceed 6500 USD.
• 12M.2.sl.TZ2.2f: Cedric decides to buy a cheaper car for €6000 and invests the remaining €2000 at his bank. The...
• 09N.1.sl.TZ0.15b: Mr Black invested 5000 CHF in Bank B at a nominal annual interest rate of 3.6 %, compounded...
• 09M.1.sl.TZ1.12b: 5000 AUD is invested at a nominal annual interest rate of 2.5 % compounded half...
• 11M.2.sl.TZ1.5f: Pauline invests \(300 000\) USD from the sale of the land in a bank that pays compound interest...
• 09M.1.sl.TZ2.8a: Bank 1 charges compound interest at a rate of 15 % per annum, compounded quarterly. Calculate...
• 11M.1.sl.TZ2.14a: Write down the value of the car when Shiyun bought it.
• 11M.1.sl.TZ2.14b: Calculate the value of the car three years after Shiyun bought it. Give your answer correct to...
• 11M.1.sl.TZ2.14c: Calculate the time for the car to depreciate to half of its value since Shiyun bought it.
• 13M.1.sl.TZ1.14b: Ramón invests $18 000 in a bank account that pays 3.4 % nominal annual interest, compounded...
• 11M.2.sl.TZ2.2d: On 1 January 2007, Daniel reinvested \(80\% \) of the money from the Regular Saver account in an...
• 11M.2.sl.TZ2.2c: On 1 January 2005, Rebecca invested \(30000{\text{ AUD}}\) in a Supersaver account at a nominal...
• 11M.2.sl.TZ2.2b: On 1 January 2005, Rebecca invested \(30000{\text{ AUD}}\) in a Supersaver account at a nominal...
• 13M.1.sl.TZ2.15a: Calculate the total amount of interest Marcus would earn, in AUD, over the three years. Give your...
• 13M.1.sl.TZ2.15b: Marcus would earn the same amount of interest, compounded annually, for three years if he...
• SPM.1.sl.TZ0.11a: Find the value of the investment after 3 years.
• SPM.1.sl.TZ0.11b: Find the difference in the final value of the investment if the interest was compounded quarterly...
• 07N.1.sl.TZ0.6b: Calculate the value of Ben’s investment at the end of 6 years. Give your answer correct to 2...
• 08N.1.sl.TZ0.10a: Eva invests \({\text{USD}}2000\) at a nominal annual interest rate of \(8\% \) compounded...
• 08N.1.sl.TZ0.10b: Toni invests \({\text{USD}}1500\) at an annual interest rate of \(7.8\% \) compounded...
• 08M.1.sl.TZ1.13b: Charles invests \(3000{\text{ USD}}\) in a bank that offers compound interest at a rate of...
• 08M.1.sl.TZ2.8a: Calculate the amount of money that Emma would have in her account after 15 years. Give your...
• 08M.1.sl.TZ2.8b: After a period of time she decides to withdraw the money from this bank. There is...
• 08M.2.sl.TZ2.1c: The price of the land is \(\$ 80000\). In option 1 her total repayments are \(\$ 88000\) over the...
• 17M.2.sl.TZ2.5f: Find the lowest possible value for \(r\).
• 17M.2.sl.TZ2.5e.ii: Find how long it would take for the interest earned to be 2000 BGN.
• 17M.2.sl.TZ2.5e.i: Find the amount of money that Violeta would have after 6 years. Give your answer correct to two...
• 17M.2.sl.TZ2.5d: Show that Violeta earns 5000 BGN from selling the flowers grown on the plot.
• 17M.2.sl.TZ2.5c: Find the value of \(x\) that maximizes the area of the plot.
• 17M.2.sl.TZ2.5b: Write down the area of the plot in terms of \(x\).
• 17M.2.sl.TZ2.5a: Show that the width of the plot, in metres, is given by \(100 - x\).
• 17M.1.sl.TZ1.14b: Find the value of \(n\).
• 17M.1.sl.TZ1.14a: Calculate the value of Arthur’s initial investment, \(x\). Give your answer to two decimal places.
• 14M.2.sl.TZ2.4d: If Hugh chooses Option D, calculate the total value of his allowance at the end of the two year...
• 14M.2.sl.TZ2.4f: Another bank guarantees Hugh an amount of \(\$1750\) after two years of investment if he invests...
• 13N.2.sl.TZ0.5e: Between \({1^{{\text{st}}}}\) August 2008 and \({1^{{\text{st}}}}\) August 2012 Arthur’s car...
• 13N.2.sl.TZ0.5d: Between \({1^{{\text{st}}}}\) August 2008 and \({1^{{\text{st}}}}\) August 2012 Arthur’s car...
• 14M.1.sl.TZ1.12a: Write down the number of times interest is added to the loan in the two years.
• 14M.1.sl.TZ1.12b: Calculate the exact amount of money that Ludmila must repay at the end of the two years.
• 15M.1.sl.TZ1.10a: Calculate the value of Pierre’s investment at the end of this time. Give your answer correct to...
• 15M.1.sl.TZ2.10a: Find the amount of money that Minta will have in the bank after 3 years. Give your answer correct...
• 15M.1.sl.TZ2.10b: Minta will withdraw the money from her bank account when the interest earned is 300 euros. Find...
• 15M.1.sl.TZ1.10b: Carla has 7000 dollars to invest in a fixed deposit which is compounded annually. She aims to...
• 14N.1.sl.TZ0.6a: Find the amount of the interest that Mandzur must pay. Give your answer correct to the nearest...
• 18M.1.sl.TZ2.4b: Josh states: “Every integer is a natural number”. Write down whether Josh’s statement is...
• 18M.1.sl.TZ2.4a: Complete the second column of the table by giving one example of a number from each set.
• 18M.2.sl.TZ1.3d: Harinder chose option B. At the end of five years, Harinder converted this investment back to...
• 18M.2.sl.TZ1.3c: Calculate the amount of this investment, in INR, in this account after five years.
• 18M.2.sl.TZ1.3b: Calculate 14 000 USD in INR.
• 18M.2.sl.TZ1.3a: Calculate the value of r.