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.TZ2.4a: Write down the y intercept of L1.
• 10M.1.sl.TZ2.4b: Write down the gradient of L1.
• 10M.2.sl.TZ1.2a.i: Find the coordinates of A.
• 11N.1.sl.TZ0.7b: Calculate the gradient of the line AB.
• 10N.2.sl.TZ0.2a: Find the gradient of AB.
• 10N.2.sl.TZ0.2b: L1 passes through C and is parallel to AB. Write down the y-intercept of L1.
• 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.TZ1.9b: Find the gradient of line L.
• 09N.1.sl.TZ0.10a: Find the gradient of the line AB.
• 09M.1.sl.TZ1.4b: Calculate the gradient of the line AB.
• 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 \({L_1}\) .
• 09M.1.sl.TZ1.4a: Write down the y-intercept of the line AB.
• 09M.2.sl.TZ1.3a: Calculate the gradient of line CD.
• 11M.1.sl.TZ2.5a: Calculate the gradient of \(L\) .
• 09M.1.sl.TZ2.7a: Find the coordinates of P and of Q.
• 09M.1.sl.TZ2.9a: Calculate the gradient of the line AB.
• 09M.1.sl.TZ2.9b, i: Given that the line AC is perpendicular to the line AB write down the gradient of the line AC.
• 09M.1.sl.TZ2.11b: Let L be the line with equation y = 3x + 2. Write down the gradient of a line parallel to L.
• 13M.1.sl.TZ1.10b: Find the gradient of L1.
• 13M.2.sl.TZ1.4f: Points A and B lie on the graph of f . The x-coordinates of A and B are 1 and 7...
• 13M.1.sl.TZ2.8a: Write down the gradient of the line L1.
• 13M.2.sl.TZ2.5d: (i) Write down the midpoint of the line segment OB. (ii) Find the gradient of the line segment OB.
• 07M.1.sl.TZ0.10a: Determine the (i) coordinates of M, the midpoint of P and Q. (ii) gradient of the line drawn...
• 07M.1.sl.TZ0.10b: The perpendicular line drawn through M meets the y-axis at R (0, k). Find k.
• 07N.2.sl.TZ0.5a: Find the gradient of the line L.
• 08N.1.sl.TZ0.7a: Find the gradient of \({L_1}\) .
• 08N.2.sl.TZ0.5d: Let \({L_1}\) be the tangent to the curve at \(x = 2\). Let \({L_2}\) be a tangent to the curve,...
• 08M.2.sl.TZ1.1e: Write down the gradient of the line \(g(x) = x + 0.5\) .
• 08M.1.sl.TZ2.6a: Write down the gradient of the line \(y = 3x + 4\).
• 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...
• 10M.2.sl.TZ1.2a.ii: Find the coordinates of B.
• 10N.1.sl.TZ0.4: The following diagrams show six lines with equations of the form y =mx +c. In the table below...
• 14M.1.sl.TZ2.7a: Use the diagram above to calculate the gradient of the ramp.
• 14M.1.sl.TZ2.7b: The gradient for a safe descending wheelchair ramp is \( - \frac{1}{{12}}\). Using your answer...
• 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.TZ1.9b: Find the gradient of the line AB.
• 15M.1.sl.TZ1.3b: Calculate the gradient of \({L_1}\).
• 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...
• 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.TZ0.6c: 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...