DP Mathematics SL Questionbank

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Directly related questions

• 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.
• 10M.1.sl.TZ1.10b: A third line ${L_3}$ is perpendicular to ${L_1}$ and is represented by...
• 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.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...
• 11M.1.sl.TZ1.2a: Write down a vector equation for L in the form...
• 11M.1.sl.TZ1.2b(i) and (ii): Find (i)     $\overrightarrow {{\rm{OP}}}$ ; (ii)    $|\overrightarrow {{\rm{OP}}} |$ .
• 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...
• 09N.1.sl.TZ0.2b: Let ${\boldsymbol{v}} = \left( {\begin{array}{*{20}{c}}  1 \\   q \\   5 \end{array}} \right)$...
• 13M.1.sl.TZ1.1a: Find   (i)     $2\boldsymbol{a} + \boldsymbol{b}$ ;   (ii)    ...
• 13M.1.sl.TZ1.1b: Find $\boldsymbol{c}$ .
• 15M.1.sl.TZ1.8a: (i)     Show that...
• 15M.2.sl.TZ2.2a: Find (i)     $u \bullet v$; (ii)     $\left| {{u}} \right|$; (iii)    ...
• 15M.1.sl.TZ1.8e: Hence or otherwise, find the area of triangle $OAB$.
• 15N.1.sl.TZ0.9c: A point $D$ lies on line ${L_2}$ so that...
• 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...