DP Mathematics SL Questionbank

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Directly related questions

• 15M.2.sl.TZ2.10b: When \(\theta  = \alpha \), the area of the square \(ABCD\) is equal to the area of the sector...
• 15M.2.sl.TZ1.5b: Robin and Pat are planning a wedding banquet. The cost per guest, \(G\) dollars, is modelled by...
• 08M.2.sl.TZ2.10a(i) and (ii): (i)     Find the number of taxis in the city at the end of 2005. (ii)    Find the year in...
• 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...
• 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...
• 12M.2.sl.TZ1.10a(i) and (ii): Find the distance between the ships (i)     at 13:00; (ii)    at 14:00.
• 12M.2.sl.TZ1.10b: Let \(s(t)\) be the distance between the ships t hours after noon, for \(0 \le t \le 4\) . Show...
• 12M.2.sl.TZ1.10c: Sketch the graph of \(s(t)\) .
• 12M.2.sl.TZ1.10d: Due to poor weather, the captain of ship A can only see another ship if they are less than 8 km...
• 09N.2.sl.TZ0.7: The fencing used for side AB costs \(\$ 11\) per metre. The fencing for the other three sides...
• 10M.2.sl.TZ2.7b: Find the rate at which n is increasing when \(t = 15\) .
• 10M.2.sl.TZ2.7a: Find the value of n when \(t = 0\) .
• 10M.2.sl.TZ2.7c: After k minutes, the rate of increase in n is greater than \(10000\) bacteria per minute. Find...
• SPNone.2.sl.TZ0.10a(i), (ii) and (iii): Jane thinks that the function \(f(t) = - 0.25{t^3} - 2.32{t^2} + 1.93t + 106\) is a suitable...
• SPNone.2.sl.TZ0.10b: Kevin thinks that the function \(g(t) = - 5.2{t^2} + 9.5t + 100\) is a better model for the data....
• SPNone.2.sl.TZ0.10c(i) and (ii): (i)     On graph paper, using a scale of 1 cm to 1 second, and 1 cm to 10 m, plot the data given...
• 11N.2.sl.TZ0.6b: Find the concentration of medication left in his bloodstream after 50 minutes.
• 11N.2.sl.TZ0.6a: Write down \(A(0)\) .
• 11N.2.sl.TZ0.6c: At 13:00, when there is no medication in Jose’s bloodstream, he takes his first dose of...
• 14M.2.sl.TZ2.8c: How long does it take for the number of bacteria in colony \({\text{A}}\) to reach \(400\)?
• 14M.2.sl.TZ2.8d: The number of bacteria in colony \({\text{B}}\) after \(t\) hours is modelled by the function...
• 14M.2.sl.TZ2.8e: The number of bacteria in colony \({\text{B}}\) after \(t\) hours is modelled by the function...
• 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.TZ1.10b.ii: Hence, find the area of the region enclosed by the graphs of \(h\) and \({h^{ - 1}}\).
• 17M.2.sl.TZ1.10b.i: Find \(\int_{0.111}^{3.31} {\left( {h(x) - x} \right){\text{d}}x} \).
• 17M.2.sl.TZ1.10a.iii: Write down the value of \(k\).
• 17M.2.sl.TZ1.10a.ii: Write down the value of \(h\);
• 17M.2.sl.TZ1.10a.i: Write down the value of \(q\);
• 15N.2.sl.TZ0.9c: Let \(f\) be the number of foxes in the reserve after \(t\) years. The number of foxes can be...
• 15N.2.sl.TZ0.9e: During which year were the number of coyotes the same as the number of foxes?