DP Mathematical Studies Questionbank

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• 10M.1.sl.TZ2.10a: Find the interest Astrid has earned during the five years of her investment. Give your answer...
• 13M.2.sl.TZ1.5g: The cost of one square metre of glass used to construct the greenhouse is 4.80 USD. Calculate...
• SPM.2.sl.TZ0.1e: Sam estimated the value of the mean of the measured lengths to be \(43{\text{ cm}}\). Find the...
• 08N.1.sl.TZ0.5c: On her return to Singapore, Kwai Fan has \(2500\) Indian rupees left from her trip. She wishes to...
• 08M.1.sl.TZ1.1c: Calculate the percentage error when the answer to part (a) is written correct to 2 significant...
• 15M.2.sl.TZ2.2e: Temi sells her perfume bottles in a craft fair for 325 ZAR each. Dominique from France buys one...
• 16N.1.sl.TZ0.1c: Write your answer to part (b)(ii) in the form \(a \times {10^k}\), where...
• 16N.2.sl.TZ0.3f: Write down the length of MD correct to five significant figures.
• 17M.1.sl.TZ2.6c.i: Use the graph to find the value of \(k\).
• 11M.1.sl.TZ1.1b: Barry first writes \(x\) , \(y\) and \(z\) correct to one significant figure and then uses these...
• 11M.1.sl.TZ1.5b: Calculate the distance travelled by the satellite in one orbit of the Earth. Give your answer...
• 09M.1.sl.TZ1.10b: Nadia makes an accurate drawing of triangle ABC. She measures angle BAC and finds it to be...
• SPM.1.sl.TZ0.11a: Find the value of the investment after 3 years.
• SPM.2.sl.TZ0.3e: The selling price, in US dollars (USD), of each size is shown in the table below.The probability...
• 07N.2.sl.TZ0.3ii.a: Calculate correct to 2 decimal places the amount of euros he receives.
• 08N.1.sl.TZ0.1b: Write down the answer to part (a) correct to three decimal places.
• 08M.2.sl.TZ1.1d: Using your graphical display calculator write down the coordinates of one of the points of...
• 16N.2.sl.TZ0.3b: Find the coordinates of M.
• 16N.1.sl.TZ0.8d: Find the percentage error.
• 16M.1.sl.TZ1.6c: Anisha visits the amphitheatre. She estimates that the amphitheatre has \(6500\)...
• 17M.1.sl.TZ2.6b: Write down the number of leaves with a length less than or equal to 8 cm.
• 17N.2.sl.TZ0.3d.ii: Find the percentage error in Abdallah’s estimate.
• 17N.2.sl.TZ0.3a: Show that \({\text{BD}} = 93{\text{ m}}\) correct to the nearest metre.
• 18M.1.sl.TZ1.1c: Write down your answer to part (b) in the form a × 10k where 1 ≤ a < 10, \(k \in \mathbb{Z}\).
• 09N.1.sl.TZ0.8a: Find the exchange rate between GBP and EUR in the form 1 GBP = k EUR, where k is a constant. Give...
• 09N.1.sl.TZ0.15b: Mr Black invested 5000 CHF in Bank B at a nominal annual interest rate of 3.6 %, compounded...
• 11M.1.sl.TZ2.6c: A local newspaper claims that the mean number of goals scored per match is two. Calculate the...
• 13M.1.sl.TZ2.15a: Calculate the total amount of interest Marcus would earn, in AUD, over the three years. Give your...
• 07M.2.sl.TZ0.4ii.d: Explain why the sum of the first 1000 terms of G2 will give the same answer as the sum of the...
• 08N.1.sl.TZ0.1c: Write down the answer to part (a) correct to three significant figures.
• 08N.1.sl.TZ0.5a: Kwai Fan changes \({\text{S\$ }}500\) to Indian rupees. Calculate the number of Indian rupees...
• 08M.1.sl.TZ1.1b: Write the answer to part (a) correct to 2 significant figures.
• 14M.1.sl.TZ1.12c: Ludmila estimates that she will have to repay \({\text{360}}\,{\text{000}}\) BRL at the end of...
• 15M.1.sl.TZ1.5b: The volume of the Moon is \(2.1958 \times {10^{10}}\;{\text{k}}{{\text{m}}^3}\). Calculate how...
• 16N.1.sl.TZ0.1a: Calculate the value of \(p\). Write down your full calculator display.
• 16M.1.sl.TZ1.6b: There are \(20\) rows in the amphitheatre. Find the total number of seats in the amphitheatre.
• 16M.1.sl.TZ1.6a: One of the locations in the \(2016\) Olympic Games is an amphitheatre. The number of seats in the...
• 17M.2.sl.TZ1.1b.i: For the data from these seven species calculate \(r\), the Pearson’s product–moment correlation...
• 17M.2.sl.TZ1.1e: Find the percentage error in your estimate in part (d).
• 17M.2.sl.TZ1.1f: State whether it is valid to use the regression line to estimate the average weight of the brain...
• 10M.1.sl.TZ1.5b: Write down your answer to (a) correct to the nearest integer.
• 10M.2.sl.TZ2.2e: Using your graph, estimate the time when Alex and Kris pass the 85 km distance marker. Give your...
• 09N.1.sl.TZ0.3b: Helen’s estimate of the area of the rectangle is \(1\,600\,000{\text{ }}{{\text{m}}^2}\). Find...
• 09N.1.sl.TZ0.8b: Isabella changes 400 USD into Euros and is charged 2 % commission. Calculate how many Euros she...
• 09M.1.sl.TZ2.1b: Find the area of the rectangle, giving your answer correct to the nearest thousand square...
• 07M.1.sl.TZ0.1b: Calculate \(\sqrt {{{3.87}^5} - {{8.73}^{ - 0.5}}} \), giving your answer (i) correct to the...
• 07M.2.sl.TZ0.2i.a: Calculate the volume of the cylinder in cm3. Give your answer correct to two decimal places.
• 08M.1.sl.TZ2.11a: Minbin has \(1250\) Japanese Yen which she wishes to exchange for Chinese Yuan. Calculate how...
• 08M.1.sl.TZ2.11b: Rupert has \(855\) Canadian Dollars which he wishes to exchange for Japanese Yen. Calculate how...
• 15M.1.sl.TZ1.1c: Pyotr estimates the value of \(T\) to be \(0.002\). Calculate the percentage error in Pyotr’s...
• 15M.1.sl.TZ1.1b: Give your answer to \(T\) correct to (i)     two significant figures; (ii)     three decimal...
• 15M.2.sl.TZ2.2d: Temi covers the perfume bottles with a paint that costs 3 South African rand (ZAR) per...
• 14N.2.sl.TZ0.1h: A cricket makes 20 chirps in 15 seconds. For this chirp rate (i)     calculate an estimate for...
• 16N.2.sl.TZ0.3a: Show that A lies on \({L_1}\).
• 17M.2.sl.TZ1.1b.ii: For the data from these seven species describe the correlation between the average body weight...
• 17M.2.sl.TZ1.1c: Write down the equation of the regression line \(y\) on \(x\), in the form \(y = mx + c\).
• 18M.1.sl.TZ1.1a: Based on the owner’s claim, calculate the total attendance for the games at Peterson United’s...
• 18M.2.sl.TZ2.5a.iii: Use Giovanni's diagram to find the length of BX, the horizontal displacement of the Tower.
• 18M.2.sl.TZ2.5b: Find the percentage error on Giovanni’s diagram.
• 10M.1.sl.TZ2.1c: José estimates the angle between the horizontal and the top of the cliff as 28.3° and uses it to...
• 10N.1.sl.TZ0.3c: The actual number of cubes in the box is 350. Find the percentage error in Joaquin’s estimated...
• 12N.1.sl.TZ0.3c: Marian calculates the mean length and finds it to be 105 cm. Calculate the percentage error made...
• 12M.2.sl.TZ1.1f: The population of Beartown is 120 000. The local radio station claimed that 34 000 of the town’s...
• 11M.2.sl.TZ1.5b: The fence costs \(17\) USD per metre to build. Calculate the cost of building the fence. Give...
• SPM.1.sl.TZ0.11b: Find the difference in the final value of the investment if the interest was compounded quarterly...
• 15M.1.sl.TZ2.1b: Write down your answer to part (a) correct to three significant figures.
• 16N.2.sl.TZ0.3e: Find the coordinates of D.
• 16N.1.sl.TZ0.8c: Find the value of \(x\) and the value of \(y\).
• 17M.2.sl.TZ1.1a: Find the range of the average body weights for these seven species of mammal.
• 17M.1.sl.TZ2.6a: Write down the median length of these leaves.
• 17N.2.sl.TZ0.3d.i: Calculate Abdallah’s estimate for the area.
• 18M.2.sl.TZ2.5a.i: Use Giovanni’s diagram to show that angle ABC, the angle at which the Tower is leaning relative...
• 10M.1.sl.TZ1.1b: Jim estimates the dimensions of the container as 15 m, 2 m and 3 m and uses these to estimate the...
• 10M.1.sl.TZ1.5a: Calculate the volume of the sphere. Give your answer correct to two decimal places.
• 10M.1.sl.TZ2.12c: Determine the length of time it would take for 150 teenagers to have heard the rumour. Give your...
• 11N.1.sl.TZ0.1b.iii: Write your answer to part (a) in the form \(a \times {10^k}\), where 1 ≤ a < 10,...
• 12M.1.sl.TZ1.3b: Give your answer to part (a) in years. (Assume 1 year = 365 days)
• 13M.1.sl.TZ1.11b: Calculate the number of American dollars (USD) Neung takes home. Give your answer correct to 2...
• 07M.1.sl.TZ0.1a: (i) Find the mean of the contractor’s measurements. (ii) Calculate the percentage error between...
• 07N.1.sl.TZ0.1c: Juan estimates the length of a carpet to be 12 metres and the width to be 8 metres. He then...
• 07N.2.sl.TZ0.3ii.b: He buys 1 kilogram of Belgian chocolates at 1.35 euros per 100 g. Calculate the cost of his...
• 14M.2.sl.TZ2.2a: Using ‘distance = speed \( \times \) time’, show that the distance...
• 13N.2.sl.TZ0.1h: The actual price of the return ticket is \(\$80\). Using your answer to part (f), calculate the...
• 14M.1.sl.TZ1.1a: Calculate the value of \(p\) when \(x = 45^\circ \), \(y = 8192\) and \(z = 64\). Write down your...
• 15M.1.sl.TZ2.1a: Find the distance from \({\text{P}}(100,{\text{ }}200)\) to \({\text{A}}\). Give your answer...
• 15M.1.sl.TZ2.2c: Fabián estimates that the distance from the base of the building to the car is 150 metres....
• 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.2.sl.TZ2.6c: Estimate the total cost, to the nearest USD, of producing \(13\) bicycles on a particular day.
• 14N.2.sl.TZ0.4a: (i)     Find the size of angle \({\rm{ACB}}\). (ii)     Show that the size of angle...
• 16N.2.sl.TZ0.3d: Show that the equation of \({L_2}\) is \(2y + x - 19 = 0\).
• 16N.1.sl.TZ0.8b: Use the information about the cost of tickets to write down a second equation in \(x\) and \(y\).
• 17M.1.sl.TZ2.6c.ii: Before measuring, the researcher estimated \(k\) to be approximately 9.5 cm. Find the percentage...
• 11N.1.sl.TZ0.1b.i: Write your answer to part (a) correct to 2 decimal places.
• 11N.1.sl.TZ0.1b.ii: Write your answer to part (a) correct to three significant figures.
• 11M.1.sl.TZ1.1c: Calculate the percentage error in Barry’s estimate of the value of \(p\) .
• 13M.1.sl.TZ1.1b: Write down your answer to part (a) (i) correct to the nearest 1000 ; (ii) correct to three...
• 07M.2.sl.TZ0.4ii.e: Using your results from parts (a) to (c), or otherwise, calculate the sum of the first 10 terms...
• 08M.1.sl.TZ2.11c: Find how many Norwegian Kroner there are to the Euro. Give your answer correct to 2 decimal places.
• 14M.1.sl.TZ1.1b: Write down your answer to part (a) (i)     correct to two decimal places; (ii)     correct to...
• 15M.1.sl.TZ1.10a: Calculate the value of Pierre’s investment at the end of this time. Give your answer correct to...
• 16N.2.sl.TZ0.3c: Find the length of AC.
• 16N.1.sl.TZ0.1b: Write your answer to part (a) (i)     correct to two decimal places; (ii)     correct to three...
• 16N.2.sl.TZ0.3g: Find the area of ABCD.
• 17M.2.sl.TZ1.1d: Use your regression line to estimate the average weight of the brain of grey wolves.
• 18M.1.sl.TZ1.1b: Calculate the percentage error in the owner’s claim.
• 18M.2.sl.TZ2.5a.ii: Use Giovanni's diagram to calculate the length of AX.
• 12M.2.sl.TZ1.3b: Show that the volume of the metal used in the cylinder is 402 cm3, given correct to three...
• 11M.2.sl.TZ1.5e: She sells the land for \(120\) USD per square metre. Calculate the value of the land that...
• 13M.1.sl.TZ1.11c: At the airport in Vietnam, Neung changes 150 USD into Vietnamese dong (VND) to pay for her...
• 13M.2.sl.TZ1.3i: Find the percentage error in this estimate of the temperature of the coffee at t = 3.
• 13M.1.sl.TZ2.1b: Write your answer to part (a) correct to (i) one decimal place; (ii) three significant figures.
• 13M.1.sl.TZ2.12b: Yoshi spends 426.70 EUR in Italy. In an American bank he changes the remaining amount, into US...
• 07M.1.sl.TZ0.3a: 1 Brazilian Real (BRL) = 2.607 South African Rand (ZAR). Giving answers correct to two decimal...
• 07N.2.sl.TZ0.4ii.c: Find the expected frequency for the number of females who had ‘Comedy’ as their most-watched...
• 07N.1.sl.TZ0.6b: Calculate the value of Ben’s investment at the end of 6 years. Give your answer correct to 2...
• 14N.1.sl.TZ0.6a: Find the amount of the interest that Mandzur must pay. Give your answer correct to the nearest...
• 16N.1.sl.TZ0.8a: Use the above information to write down an equation in \(x\) and \(y\).
• 17N.2.sl.TZ0.3b: Calculate angle \({\rm{B\hat CD}}\).
• 17N.2.sl.TZ0.3c: Find the area of ABCD.
• 18M.2.sl.TZ2.5c: Giovanni adds a point D to his diagram, such that BD = 45 m, and another triangle is...