192 results for "under".

### Refine by Refine by

• #### Topics

• Question

Find roots and the area under a parabola

• Question

This question aims to test understanding and ability to use the laws of indices involving an unkown parameter.

• Question

Questions testing understanding of the precedence of operators using BIDMAS. That is, they test Brackets, Indices, Division/Multiplication and Addition/Subtraction.

• Question

Three graphs are given with areas underneath them shaded. The student is asked to calculate their areas, using integration.  Q1 has a polynomial. Q2 has exponentials and fractional functions. Q3 requires solving a trig equation and integration by parts.

• Question

Graphs are given with areas underneath them shaded. The student is asked to select the correct integral which calculates its area.

• Exam (5 questions)

5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

• Question

JSXGraph code based on original by Christian Lawson-Perfect

• Question

Questions testing understanding of the precedence of operators using BIDMAS. That is, they test Brackets, Indices, Division/Multiplication and Addition/Subtraction.

• Question

This question tests the student's understanding of what is and is not a surd, and on their simplification of surds.

• Question

An applied example of the use of two points on a graph to develop a straight line function, then use the t estimate and predict. MCQ's are also used to develop student understanding of the uses of gradient and intercepts as well as the limitations of prediction.

• Question

Round random numbers to the closest whole number, 1 to 3 decimals places. Also rounding that could show common misunderstandings.

• Question

This question aims to test understanding and ability to use the laws of indices.

• Question

This question aims to test understanding and ability to use the laws of indices.

• Question

This question aims to test understanding and ability to use the laws of indices.

• Exam (5 questions)

5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

• Question

Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the $x$-axis. The second graph has some area above and some below the $x$-axis.

• Question

Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the $x$-axis. The second graph has some area above and some below the $x$-axis.

• Question

Find roots and the area under a parabola

• Question

No description given

• Question

No description given

• Question

Find the area under a porabola.

• Question

Find the area under a curve. The step is given.

• Question

Calculate statistics from a table of unpaired data and conclude whether or not they are from the same underlying population and interpret the result.

• Question

Customised for the Numbas demo exam

Motion under gravity. Object is projected vertically with initial velocity $V\;m/s$. Find time to maximum height and the maximum height. Now includes an interactive plot.

• Question

Use $\cos^2\theta+\sin^2\theta=1$ and/or an understanding on the unit circle definitions to determine $\cos\theta$ given $\sin\theta$ and the quadrant theta is in.

• Question

Use $\cos^2\theta+\sin^2\theta=1$ and/or an understanding on the unit circle definitions to determine $\sin\theta$ given $\cos\theta$ and the quadrant theta is in.

• Question

This question aims to assess the student's understanding of the difference between biased and unbiased events and also to assess the student's understanding of the fact that the experimental probability tends towards the theoretical probability as the number of trials increases.

• Question

Students seem to struggle with Sigma notation, this is a simple question to ensure they understand the index can change without affecting the sum.

• Question

Three graphs are given with areas underneath them shaded. The student is asked to calculate their areas, using integration.  Q1 has a polynomial. Q2 has exponentials and fractional functions. Q3 requires solving a trig equation and integration by parts.

• Question

Three graphs are given with areas underneath them shaded. Student is asked to determine the minimum and maximum $x$-values of the regions. This will involve solving a linear equation and two trigonmetric equations.