DP Mathematical Studies Questionbank

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Directly related questions

• 18M.1.sl.TZ2.14c: Find the x-coordinate of the point at which the normal to the graph of f has...
• 18M.1.sl.TZ2.14b: Find the gradient of the graph of f at \(x =  - \frac{1}{2}\).
• 18M.1.sl.TZ2.14a: Find f'(x)
• 18M.1.sl.TZ1.5c: Find the equation of the line DC. Write your answer in the form ax + by + d = 0 where a , b and d...
• 18M.1.sl.TZ1.5b: Find the gradient of the line DC.
• 18M.1.sl.TZ1.5a: Write down the coordinates of C, the midpoint of line segment AB.
• 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.
• 17M.1.sl.TZ2.13c: Draw the line \(N\) on the diagram above.
• 17M.1.sl.TZ2.13b: Find the equation of \(N\). Give your answer in the form \(ax + by + d = 0\) where \(a\), \(b\),...
• 17M.1.sl.TZ2.13a: Write down the value of \(f(1)\).
• 17M.2.sl.TZ1.6e: Find the \(y\)-coordinate of the local minimum.
• 17M.2.sl.TZ1.6d.ii: Hence justify that \(g\) is decreasing at \(x =  - 1\).
• 17M.2.sl.TZ1.6d.i: Find \(g’( - 1)\).
• 17M.2.sl.TZ1.6c: Use your answer to part (a) and the value of \(k\), to find the \(x\)-coordinates of the...
• 17M.2.sl.TZ1.6b.ii: Find the equation of the tangent to the graph of \(y = g(x)\) at \(x = 2\). Give your answer in...
• 17M.2.sl.TZ1.6b.i: Show that \(k = 6\).
• 17M.2.sl.TZ1.6a: Find \(g'(x)\).
• 17M.1.sl.TZ1.11c: Determine the equation of \({L_2}\). Give your answer in the form \(ax + by + d = 0\), where...
• 17M.1.sl.TZ1.11b: Find the \(y\)-coordinate of P.
• 17M.1.sl.TZ1.11a: Write down the gradient of \({L_1}\).
• 16M.1.sl.TZ2.12e: Find the equation of \({L_3}\) . Give your answer in the form \(ax + by + d = 0\) , where \(a\) ,...
• 16M.1.sl.TZ2.12d: The line \({L_3}\) is perpendicular to \({L_1}\) and passes through the point \(( -...
• 16M.1.sl.TZ2.12c: The line \({L_2}\) is parallel to \({L_1}\) and passes through the point \((0,\,\,3)\) . Write...
• 16M.1.sl.TZ2.12b: Write down the gradient of \({L_1}\) .
• 16M.1.sl.TZ2.12a: The equation of the straight line \({L_1}\) is \(y = 2x - 3.\) Write down the \(y\)-intercept of...
• 16M.1.sl.TZ1.7d: Write your answer to part (c) in the form \(ax + by + d = 0\)  where \(a\), \(b\) and...
• 16M.1.sl.TZ1.7b: The line \({L_2}\) is perpendicular to \({L_1}\) and intersects \({L_1}\) at point...
• 16M.1.sl.TZ1.7a: The equation of line \({L_1}\) is \(y = 2.5x + k\). Point \({\text{A}}\) \(\,(3,\, - 2)\) lies on...
• 16M.1.sl.TZ1.7c: Find the equation of \({L_2}\). Give your answer in the form \(y = mx + c\) .
• 16N.1.sl.TZ0.14b: Find the coordinates of P.
• 16N.1.sl.TZ0.14a: Find \(\frac{{{\text{d}}y}}{{{\text{d}}x}}\).
• SPM.1.sl.TZ0.9c: The point \({\text{P}}(3{\text{, }}9)\) lies on the curve \(y = {x^2}\) . Find the equation of...
• 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.2.sl.TZ1.5e: The graph of \(y = f(x)\) has a local minimum point at \(x = 4\). Find the equation of the...