DP Mathematics SL Questionbank

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• 18M.1.sl.TZ1.9a: Show...
• 18M.1.sl.TZ1.6: Six equilateral triangles, each with side length 3 cm, are arranged to form a hexagon.This is...
• 17N.1.sl.TZ0.9c: The point D has coordinates $({q^2},{\text{ }}0,{\text{ }}q)$. Given that...
• 17N.1.sl.TZ0.9b: Find the value of $p$.
• 17N.1.sl.TZ0.9a.ii: Find a vector equation for $L$.
• 17N.1.sl.TZ0.9a.i: Show that...
• 17M.1.sl.TZ2.2b: Given that c = a + 2b, find c.
• 17M.1.sl.TZ2.2a: Find the value of $k$.
• 17M.1.sl.TZ1.8d.ii: Hence or otherwise, find one point on ${L_2}$ which is $\sqrt 5$ units from C.
• 17M.1.sl.TZ1.8d.i: Find a unit vector in the direction of ${L_2}$.
• 17M.1.sl.TZ1.8c: The lines ${L_1}$ and ${L_1}$ intersect at $C(9,{\text{ }}13,{\text{ }}z)$. Find $z$.
• 17M.1.sl.TZ1.8b: A second line ${L_2}$, has equation r =...
• 17M.1.sl.TZ1.8a.ii: Hence, write down a vector equation for ${L_1}$.
• 18M.1.sl.TZ2.1b: The vector $\left( \begin{gathered} 2 \hfill \\ p \hfill \\ 0 \hfill \\ \end{gathered} \right)$...
• 18M.1.sl.TZ2.1a: Find a vector equation for L1.
• 18M.1.sl.TZ1.9d: Point D is also on L and has coordinates (8, 4, −9). Find the area of triangle OCD.
• 18M.1.sl.TZ1.9c.ii: Write down the value of angle OBA.
• 18M.1.sl.TZ1.9c.i: Find $\mathop {{\text{OB}}}\limits^ \to  \, \bullet \mathop {{\text{AB}}}\limits^ \to$.
• 18M.1.sl.TZ1.9b.ii: Point C (k , 12 , −k) is on L. Show that k = 14.
• 18M.1.sl.TZ1.9b.i: Find a vector equation for L.
• 16M.1.sl.TZ2.7: Let u $=  - 3$i $+$ j $+$ k and v $= m$j $+ {\text{ }}n$k , where...
• 16M.2.sl.TZ1.10d: (i)     Show that...
• 16M.2.sl.TZ1.10c: Find $\theta$.
• 16M.2.sl.TZ1.10b: Show that...
• 16M.2.sl.TZ1.10a: Find $\overrightarrow {{\text{AB}}}$.
• 16N.1.sl.TZ0.4b: The line through P and Q is perpendicular to the vector 2i $+$ nk. Find the value of $n$.
• 12N.1.sl.TZ0.9a: Show that...
• 12N.1.sl.TZ0.9b: Let C and D be points such that ABCD is a rectangle. Given that...
• 12N.1.sl.TZ0.9c: Let C and D be points such that ABCD is a rectangle. Find the coordinates of point C.
• 12N.1.sl.TZ0.9d: Let C and D be points such that ABCD is a rectangle. Find the area of rectangle ABCD.
• 08N.2.sl.TZ0.8c(i) and (ii): (i)     Find $\overrightarrow {{\rm{AB}}} \bullet \overrightarrow {{\rm{AD}}}$. (ii)    Hence...
• 11M.1.sl.TZ1.9a(i) and (ii): (i)     Write down $\overrightarrow {{\rm{BA}}}$ . (ii)    Find...
• 11M.1.sl.TZ1.9c(i) and (ii): The point D is such that...
• 13M.2.sl.TZ2.8b: Find the value of $a$ for which ${\rm{q}} = \frac{\pi }{2}$ .
• 14M.2.sl.TZ1.4b: Given that $u = \left( \begin{array}{c}3\\2\\1\end{array} \right)$ and...
• 14M.1.sl.TZ2.9c: The position of Jack’s airplane $s$ seconds after it takes off is given by r =...
• 13N.2.sl.TZ0.9b: Show that the lines are perpendicular.
• 15M.1.sl.TZ1.8d: (i)     Find $\overrightarrow {{\text{OC}}}  \bullet \overrightarrow {{\text{AB}}}$. (ii)    ...
• 15M.2.sl.TZ2.2a: Find (i)     $u \bullet v$; (ii)     $\left| {{u}} \right|$; (iii)    ...