DP Mathematics SL Questionbank

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• 18M.2.sl.TZ2.8d: Hence or otherwise find the shortest distance from R to the line through P and Q.
• 18M.2.sl.TZ2.8c: Find the area of triangle PQR.
• 18M.2.sl.TZ2.8b: Find the angle between PQ and PR.
• 18M.2.sl.TZ2.8a.ii: Find $\left| {\mathop {{\text{PQ}}}\limits^ \to  } \right|$.
• 18M.2.sl.TZ2.8a.i: Find $\mathop {{\text{PQ}}}\limits^ \to$.
• 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.
• 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...
• 10N.1.sl.TZ0.8a(i), (ii) and (iii): (i)     Show that...
• 10N.1.sl.TZ0.8b(i) and (ii): The line (AC) has equation ${\boldsymbol{r}} = {\boldsymbol{u}} + s{\boldsymbol{v}}$ . (i)    ...
• 10N.1.sl.TZ0.8d: The lines (AC) and (BD) intersect at the point ${\text{P}}(3{\text{, }}k)$ . Hence find the...
• 10N.1.sl.TZ0.8c: The lines (AC) and (BD) intersect at the point ${\text{P}}(3{\text{, }}k)$ . Show that...
• 10M.1.sl.TZ1.10b: A third line ${L_3}$ is perpendicular to ${L_1}$ and is represented by...
• 10M.1.sl.TZ2.2b: Find a unit vector in the direction of $\overrightarrow {{\rm{AB}}}$ .
• 10M.1.sl.TZ2.2c: Show that $\overrightarrow {{\rm{AB}}}$ is perpendicular to $\overrightarrow {{\rm{AC}}}$ .
• 10M.1.sl.TZ1.10a: Write down a vector equation for ${L_2}$ in the form...
• 10M.1.sl.TZ1.10c: The lines ${L_1}$ and ${L_3}$ intersect at the point A. Find the coordinates of A.
• 10M.1.sl.TZ1.10d(i) and (ii): The lines ${L_2}$and ${L_3}$intersect at point C where...
• 10M.1.sl.TZ2.2a: Find $\overrightarrow {{\rm{BC}}}$ .
• 10M.2.sl.TZ2.9a(i) and (ii): (i)     Write down the coordinates of A. (ii)    Find the speed of the airplane in...
• 10M.2.sl.TZ2.9b(i) and (ii): After seven seconds the airplane passes through a point B. (i)     Find the coordinates of...
• 10M.2.sl.TZ2.9c: Airplane 2 passes through a point C. Its position q seconds after it passes through C is given by...
• 11N.1.sl.TZ0.8a(i) and (ii): (i)     Find $\overrightarrow {{\rm{PQ}}}$ . (ii)    Hence write down a vector equation for...
• 11N.1.sl.TZ0.8b(i) and (ii): (i)     Find the value of p . (ii)    Given that ${L_2}$ passes through...
• 11N.1.sl.TZ0.8c: The lines ${L_1}$ and ${L_2}$ intersect at the point A. Find the x-coordinate of A.
• 11M.1.sl.TZ1.9a(i) and (ii): (i)     Write down $\overrightarrow {{\rm{BA}}}$ . (ii)    Find...
• 11M.1.sl.TZ1.9b(i) and (ii): (i)     Find $\cos {\rm{A}}\widehat {\rm{B}}{\rm{C}}$ . (ii)    Hence, find...
• 11M.1.sl.TZ1.9c(i) and (ii): The point D is such that...
• 11M.1.sl.TZ2.3a: Find $\overrightarrow {{\rm{BC}}}$ .
• 11M.1.sl.TZ2.3b: Show...
• 11M.1.sl.TZ2.3c: Show that vectors $\overrightarrow {{\rm{BD}}}$ and $\overrightarrow {{\rm{AC}}}$ are...
• 11M.2.sl.TZ2.8d: The lines ${L_1}$ and ${L_2}$ intersect at point C. Find the coordinates of C.
• 11M.2.sl.TZ2.8a: Find $\overrightarrow {{\rm{AB}}}$ .
• 11M.2.sl.TZ2.8b: Find an equation for ${L_1}$ in the form...
• 11M.2.sl.TZ2.8c: Find the angle between ${L_1}$ and ${L_2}$ .
• 13M.1.sl.TZ1.8a.i: Find $\overrightarrow {{\rm{AB}}}$ .
• 13M.2.sl.TZ2.8a: Find   (i)     $\overrightarrow {{\rm{AB}}}$ ;   (ii)     $\overrightarrow {{\rm{AC}}}$ .