DP Mathematics SL Questionbank

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Directly related questions

• 12M.1.sl.TZ1.9c: The graph of \(f\) is reflected in the line \(y = x\) to give the graph of \(g\) . Find \(g(x)\) .
• 10M.2.sl.TZ2.7c: After k minutes, the rate of increase in n is greater than \(10000\) bacteria per minute. Find...
• 16M.2.sl.TZ2.8d: Find the year when Lina sells her car.
• 12M.1.sl.TZ1.9b: The graph of f is reflected in the line \(y = x\) to give the graph of g . (i)     Write down...
• 10M.2.sl.TZ2.7b: Find the rate at which n is increasing when \(t = 15\) .
• 14M.2.sl.TZ2.8a: Find the number of bacteria in colony \({\text{A}}\) after four hours.
• 14M.2.sl.TZ2.8b: Find the number of bacteria in colony \({\text{A}}\) after four hours.
• 14M.2.sl.TZ2.8c: How long does it take for the number of bacteria in colony \({\text{A}}\) to reach \(400\)?
• 16M.2.sl.TZ1.7b: Find the least number of whole years for which \(\frac{{{P_t}}}{{{P_0}}} < 0.75\).
• 16M.2.sl.TZ1.7a: (i)     Find the value of \(k\). (ii)     Interpret the meaning of the value of \(k\).
• 16M.2.sl.TZ2.8b: Use the regression equation to estimate the price of Lina’s car, giving your answer to the...
• 12M.1.sl.TZ1.9a: Find p .
• 11N.2.sl.TZ0.6c: At 13:00, when there is no medication in Jose’s bloodstream, he takes his first dose of...
• 11M.2.sl.TZ1.10c(i), (ii) and (iii): The function f can also be written in the form \(f(x) = \frac{{\ln ax}}{{\ln b}}\) . (i)    ...
• 11M.2.sl.TZ1.10d: Write down the value of \({f^{ - 1}}(0)\) .
• 13M.2.sl.TZ2.10a: (i)     Sketch the graphs of \(f\) and \(g\) on the same axes. (ii)     Find the area of \(R\) .
• 17M.2.sl.TZ1.10b.ii: Hence, find the area of the region enclosed by the graphs of \(h\) and \({h^{ - 1}}\).
• 16M.2.sl.TZ2.8a: (i)     Find the correlation coefficient. (ii)     Write down the value of \(a\) and of \(b\).
• 11M.2.sl.TZ1.10a: Show that \(f(x) = {\log _3}2x\) .
• 17M.2.sl.TZ1.10a.iii: Write down the value of \(k\).
• 10M.2.sl.TZ1.9b: Given that \(f(15) = 3.49\) (correct to 3 significant figures), find the value of k.
• 11N.2.sl.TZ0.6b: Find the concentration of medication left in his bloodstream after 50 minutes.
• 11M.2.sl.TZ1.10b: Find the value of \(f(0.5)\) and of \(f(4.5)\) .
• 13M.1.sl.TZ1.7b: Find the value of \({8^{{{\log }_2}5}}\) .
• 15N.2.sl.TZ0.3b: Find the \(x\)-intercept of the graph of \(f\).
• 08M.2.sl.TZ2.10b(i) and (ii): At the end of 2000 there were \(25600\) people in the city who used taxis. After n years the...
• 09M.1.sl.TZ1.6a: (i)     Show that \({f^{ - 1}}(x) = \ln x - 3\) . (ii)    Write down the domain of \({f^{ - 1}}\) .
• 10M.2.sl.TZ1.9d: Let \(g(x) = - {x^2} + 12x - 24\) . Find the area enclosed by the graphs of f and g .
• 10M.2.sl.TZ2.7a: Find the value of n when \(t = 0\) .
• 11N.2.sl.TZ0.6a: Write down \(A(0)\) .
• 17M.2.sl.TZ1.10c: Let \(d\) be the vertical distance from a point on the graph of \(h\) to the line \(y = x\)....
• 17M.2.sl.TZ1.10a.i: Write down the value of \(q\);
• 08M.2.sl.TZ2.10c(i) and (ii): Let R be the ratio of the number of people using taxis in the city to the number of taxis. The...
• 11M.2.sl.TZ1.10e: The point A lies on the graph of f . At A, \(x = 4.5\) . On your diagram, sketch the graph of...
• 14M.2.sl.TZ2.8d: The number of bacteria in colony \({\text{B}}\) after \(t\) hours is modelled by the function...
• 17M.2.sl.TZ1.10a.ii: Write down the value of \(h\);
• 17M.2.sl.TZ1.10b.i: Find \(\int_{0.111}^{3.31} {\left( {h(x) - x} \right){\text{d}}x} \).
• 10M.2.sl.TZ1.9a: Show that \(A = 10\) .
• 14M.2.sl.TZ2.8e: The number of bacteria in colony \({\text{B}}\) after \(t\) hours is modelled by the function...
• 15N.2.sl.TZ0.3a: Find the equation of the vertical asymptote to the graph of \(f\).
• 16M.2.sl.TZ2.8c: Calculate the price of Lina’s car after 6 years.