DP Mathematics SL Questionbank

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Directly related questions

• 18M.2.sl.TZ2.6c: Find when the seat is 30 m above the ground for the third time.
• 18M.2.sl.TZ2.6b: Find the value of a.
• 18M.2.sl.TZ2.6a: After 8 minutes, the seat is 117 m above the ground. Find k.
• 17M.2.sl.TZ2.4c: Use the model to find the depth of the water 10 hours after high tide.
• 17M.2.sl.TZ2.4b: Find the value of $q$.
• 17M.2.sl.TZ2.4a: Find the value of $p$.
• 17M.2.sl.TZ1.8c: There are two high tides on 12 December 2017. At what time does the second high tide occur?
• 17M.2.sl.TZ1.8b.iii: Find the value of $r$.
• 17M.2.sl.TZ1.8b.ii: Find the value of $q$;
• 17M.2.sl.TZ1.8b.i: Find the value of $p$;
• 17M.2.sl.TZ1.8a.ii: Find the difference in height between low tide and high tide.
• 17M.2.sl.TZ1.8a.i: How much time is there between the first low tide and the next high tide?
• 16M.2.sl.TZ2.4c: Calculate the time needed for the seat to complete a full rotation, giving your answer correct to...
• 16M.2.sl.TZ2.4b: The seat first reaches a height of 20 m after $k$ minutes. Find $k$.
• 16M.2.sl.TZ2.4a: Find the height of the seat when $t = 0$.
• 16M.1.sl.TZ1.3b: On the following grid sketch the graph of $f$.
• 16M.1.sl.TZ1.3a: (i)     Write down the amplitude of $f$. (ii)     Find the period of $f$.
• 16N.2.sl.TZ0.10c: (i)     Find $w$. (ii)     Hence or otherwise, find the maximum positive rate of change of $g$.
• 16N.2.sl.TZ0.10b: (i)     Write down the value of $k$. (ii)     Find $g(x)$.
• 16N.2.sl.TZ0.10a: (i)     Find the value of $c$. (ii)     Show that $b = \frac{\pi }{6}$. (iii)     Find the...
• 10N.2.sl.TZ0.10a: Find the height of a seat above the ground after 15 minutes.
• 10N.2.sl.TZ0.10c: The height of the seat above ground after t minutes can be modelled by the function...
• 10N.2.sl.TZ0.10b: After six minutes, the seat is at point Q. Find its height above the ground at Q.
• 10N.2.sl.TZ0.10d: The height of the seat above ground after t minutes can be modelled by the function...
• 11M.2.sl.TZ1.8d: In the first rotation, there are two values of t when the bucket is descending at a rate of...
• 11M.2.sl.TZ1.8a: Show that $a = 4$ .
• 11M.2.sl.TZ1.8b: The wheel turns at a rate of one rotation every 30 seconds. Show that $b = \frac{\pi }{{15}}$ .
• 11M.2.sl.TZ1.8c: In the first rotation, there are two values of t when the bucket is descending at a rate of...
• 11M.1.sl.TZ2.10a(i) and (ii): Write down the height of P above ground level after (i)     10 minutes; (ii)    15 minutes.  
• 11M.1.sl.TZ2.10b(i) and (ii): (i)     Show that $h(8) = 90.5$. (ii)    Find $h(21)$ .
• 11M.1.sl.TZ2.10c: Sketch the graph of h , for $0 \le t \le 40$ .
• 11M.1.sl.TZ2.10d: Given that h can be expressed in the form $h(t) = a\cos bt + c$ , find a , b and c .
• 13M.2.sl.TZ1.10a: Find the maximum height above the ground of the seat.
• 14M.2.sl.TZ1.5a: Find the number of deer in the reserve on 1 May 2014.
• 13M.2.sl.TZ1.10c: Find the value of $a$ .
• 13M.2.sl.TZ1.10b: (i)     Show that the period of $h$ is $25$ minutes. (ii)     Write down the exact value of...
• 13M.2.sl.TZ1.10d: Sketch the graph of $h$ , for $0 \le t \le 50$ .