8415 results.
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Students will assess their ability to solve problems involving logs and exponentials.
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Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.
The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.
This particular example has a negative gradient.
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Students will review and practice problems involving logs and exponentials.
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Students will practice writing the equations of a hyperbola and identifying key characteristics, as well as classifying conics from their non-standard equations.
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Finding unknown sides/angles in right-angled triangles. 6 different combinations of unknowns are included in this single question. Makes my previous questions redundant
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Four sinusoidal graphs are given. Student should select the one which is sine and cosine.
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$x$ is given and (sin(x),cos(x)) is plotted on a unit circle. Then the student is asked to determine sin(y) and cos(y), where y is closely related to x (e.g. y=-x, y=180+x, etc.)
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student is to re-arrange the equations $pV=nRT$ and $mgh = \frac{1}{2}mv^2$
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Find the nth term and sum of n terms of a Geometric progression.
[This needs to be updated to include the sum of a GP as well. I haven't checked the answers yet. - 15 Nov]
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Find the nth term and sum of n terms of an Arithmetic progression
[This has been updated to include the sum of an AP as well. I haven't checked the answers yet. - 15 Nov]
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$f(x)= ae^{-bt}+c$ is given and plotted. A few points are plotted on the curve. $x$-coordinates are provided for two of them and $y$-coordinate provided for third. Student is required to determine other coordinates.
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Student is asked to sketch $f(x)=\log_2(x)$, by plotting several points and selecting the correct graph.
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Solving 2nd order differential equation for pendulum, with and without damping.
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Students will find the inverse of log and exponential functions.
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Exam (6 questions) in Blathnaid's workspace
Practice questions on these topics.
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Practice identifying characteristics of an ellipse and writing their equation in standard form from an equation or graph.
