DP Mathematical Studies Questionbank

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• 18M.1.sl.TZ2.5b: Karl decides to donate this interest to a charity in France. The charity receives 170 euros...
• 18M.1.sl.TZ2.5a.ii: Write down the amount of interest he earned after 5 years.
• 18M.1.sl.TZ2.5a.i: Calculate the amount of money he has in the account after 5 years.
• 17N.1.sl.TZ0.2c.ii: Write down, in the form $y = mx + c$, the equation of ${L_2}$.
• 17N.1.sl.TZ0.2c.i: Write down the gradient of ${L_2}$.
• 17N.1.sl.TZ0.2b: Find the gradient of ${L_1}$.
• 17N.1.sl.TZ0.2a: Find the coordinates of M.
• 16N.2.sl.TZ0.3a: Show that A lies on ${L_1}$.
• 10M.1.sl.TZ2.4d: The line L2 is perpendicular to L1 and passes through the point (3, 7). Find the equation of L2....
• 10M.2.sl.TZ1.2a.i: Find the coordinates of A.
• 11N.1.sl.TZ0.7c: Find the equation of the line parallel to AB that passes through M.
• 10N.1.sl.TZ0.4: The following diagrams show six lines with equations of the form y =mx +c. In the table below...
• 10N.2.sl.TZ0.2c: L2 passes through A and is perpendicular to AB. Write down the equation of L2. Give your answer...
• 12N.1.sl.TZ0.8a: Write down the gradient of L1 .
• 12N.1.sl.TZ0.8b: Line L2, is perpendicular to line L1, and passes through the point (4, 5) . (i) Write down the...
• 12M.1.sl.TZ1.9a: Explain why point P is not on the line L.
• 12M.1.sl.TZ1.9c: (i) Write down the gradient of a line perpendicular to line L. (ii) Find the equation of the...
• 09N.1.sl.TZ0.10c: Let M be the midpoint of the line segment AB. Find the equation of the line perpendicular to AB...
• 11N.2.sl.TZ0.4f: The line, $L$ , passes through the point A and is perpendicular to the tangent at A. Find the...
• 09M.1.sl.TZ1.15a: Find the gradient of L.
• 11M.1.sl.TZ1.10a: Find(i)     the gradient of ${L_1}$ ;(ii)    the equation of ${L_1}$ .
• 11M.1.sl.TZ1.13a: Calculate the gradient of ${R_2}$ .
• 11M.1.sl.TZ1.13b: The point of intersection of ${R_1}$ and ${R_2}$ is $(4{\text{, }}k)$ .Find(i)     the...
• 09M.2.sl.TZ1.3c: Find the equation of line CD. Give your answer in the form $ax + by = c$ where...
• 11M.1.sl.TZ2.5b: Find the equation of $L$ .
• 13M.1.sl.TZ1.10a: Give a reason why L1 does not pass through A.
• 13M.1.sl.TZ1.10d: L2 does pass through A. Find the value of c.
• 13M.1.sl.TZ2.8a: Write down the gradient of the line L1.
• 13M.1.sl.TZ2.8b: A second line L2 is perpendicular to L1. Write down the gradient of L2.
• 13M.1.sl.TZ2.8c: The point (5, 3) is on L2. Determine the equation of L2.
• 13M.2.sl.TZ2.5e: Scott starts from a point C(0,150) . He hikes along a straight road towards the bicycle track,...
• 07N.1.sl.TZ0.13b: Find the equation of the straight line perpendicular to AB, passing through the point M.
• 08N.1.sl.TZ0.7a: Find the gradient of ${L_1}$ .
• 08N.1.sl.TZ0.7b: The equation of line ${L_2}$ is $y = mx$ . ${L_2}$ is perpendicular to ${L_1}$ . Find...
• 08N.1.sl.TZ0.7c: The equation of line ${L_2}$ is $y = mx$ . ${L_2}$ is perpendicular to ${L_1}$ . Find...
• 08M.1.sl.TZ2.6c: Find the equation of the line which is perpendicular to $y = 3x + 4$ and which passes through...
• 08M.2.sl.TZ2.5a: Write down the coordinates of point ${\text{E}}$.
• 08M.2.sl.TZ2.5b: ${\text{C}}$ is a point on the line ${\text{DE}}$. ${\text{B}}$ is a point on the...
• 09M.1.sl.TZ2.9b, ii: Given that the line AC is perpendicular to the line AB find the value of p.
• 10M.2.sl.TZ1.2a.ii: Find the coordinates of B.
• 10M.2.sl.TZ1.2c.ii: N lies on the line AB. The line CN is perpendicular to the line AB. Find the equation of CN.  
• 14M.1.sl.TZ2.7c: The equation of a second wheelchair ramp, B, is $2x + 24y - 1920 = 0$. (i)     Determine...
• 13N.2.sl.TZ0.4g: The line $L$ passes through the point $(2, −12)$ and is perpendicular to $T$. $L$ has...
• 14M.1.sl.TZ1.10c: Point ${\text{P}}(2,16)$ lies on the graph of $f$. Find the equation of the normal to the...
• 15M.1.sl.TZ1.3c: The line ${L_2}$ is parallel to ${L_1}$ and passes through the point \((3,{\text{...
• 15M.1.sl.TZ2.3a: Write down (i)     the gradient of ${L_1}$; (ii)     the $y$-intercept of ${L_1}$.
• 15M.1.sl.TZ2.3b: The line ${L_2}$ is parallel to ${L_1}$ and passes through the point...
• 15M.1.sl.TZ2.3c: The line ${L_2}$ is parallel to ${L_1}$ and passes through the point...
• 15M.2.sl.TZ1.5e: The graph of $y = f(x)$ has a local minimum point at $x = 4$. Find the equation of the...
• 14N.1.sl.TZ0.7c: Find the value of $n$.
• 14N.2.sl.TZ0.6b: The $x$-coordinate of point B is $a$. (i)     Write down the coordinates of point B; (ii)  ...
• 14N.2.sl.TZ0.6a: The equation of the line BC is $y = 4$. Write down the coordinates of point C.
• 14N.2.sl.TZ0.6e: Calculate the value of $a$.
• 14N.2.sl.TZ0.6c: Point A lies on the $x$-axis and the line AB is perpendicular to line OB. (i)     Write down...
• 14N.2.sl.TZ0.6d: The area of triangle AOB is three times the area of triangle OBC. Find an expression, in terms...