DP Mathematics SL Questionbank

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Directly related questions

• 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...
• 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...
• 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?