203 results for "under".

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• Question

Given the following three vectors $\textbf{v}_1,\;\textbf{v}_2,\;\textbf{v}_3$ Find out whether they are a linearly independent set are not. Also if linearly dependent find the relationship $\textbf{v}_{r}=p\textbf{v}_{s}+q\textbf{v}_{t}$ for suitable $r,\;s,\;t$ and integers $p,\;q$.

• Question

Real numbers $a,\;b,\;c$ and $d$ are such that $a+b+c+d=1$ and for the given vectors $\textbf{v}_1,\;\textbf{v}_2,\;\textbf{v}_3,\;\textbf{v}_4$ $a\textbf{v}_1+b\textbf{v}_2+c\textbf{v}_3+d\textbf{v}_4=\textbf{0}$. Find $a,\;b,\;c,\;d$.

• Question

Questions testing understanding of numerators and denominators of numerical fractions, and reduction to lowest terms.

• Question

$X \sim \operatorname{Binomial}(n,p)$. Find $P(X=a)$, $P(X \leq b)$, $E[X],\;\operatorname{Var}(X)$.

• Question

$W \sim \operatorname{Geometric}(p)$. Find $P(W=a)$, $P(b \le W \le c)$, $E[W]$, $\operatorname{Var}(W)$.

• Question

$Y \sim \operatorname{Poisson}(p)$. Find $P(Y=a)$, $P(Y \gt b)$, $E[Y],\;\operatorname{Var}(Y)$.

• Question

Questions testing understanding of numerators and denominators of numerical fractions, and reduction to lowest terms.

• Question

Questions testing rather basic understanding of the index laws.

• Index Laws 1
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Question

Questions testing understanding of the index laws.

• Index Laws 2
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Question

Questions testing understanding of the index laws.

• Index Laws 3
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Questions testing understanding of the index laws.

• Index Laws 4
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Questions testing understanding of the index laws.

• Question

Questions testing understanding of the precedence of operators using BIDMAS, applied to integers. These questions only test DMAS. That is, only Division/Multiplcation and Addition/Subtraction.

• Question

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

• Question

Questions testing understanding of the precedence of operators using BIDMAS applied to integers. These questions only test IDMAS. That is Indices, Division/Multiplication and Addition/Subtraction.

• Question

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

• Question

Questions testing understanding of numerators and denominators of numerical fractions.

• Exam (16 questions)

Refresher questions on topics in algebra that students beginning a maths undergraduate course should be familiar with.

• 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.

• Surds simplification
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.

• Identify independent events
Should not be used
Question

This question assesses the students understanding of what it means for two events to be independent or dependent. Specifically, if two events are independent then the outcomes of one event do not affect the outcomes of the other event.

• Question

This question assesses

• the students ability to apply both theoretical and experimental probability to calculate expected values
• the students understanding of how to calculate the relative frequency of an outcome

The question also helps to show students how using experimental probability and theoretical probability results in different expected values of an outcome.

• Question

This question tests the students ability to calculate the area of different 2D shapes given the units and measurements required. The formulae for the areas are available if required but students are encouraged to try to remember them themselves.

The shapes are: a rectangle, a parallelogram, a right-angled triangle, and a trapezium.

Author of gif: Picknick
https://commons.wikimedia.org/wiki/File:Parallelogram_area_animated.gif

• Question

This question provides an example of an initial bank account investment with a fixed return and tests the student's understanding of an application of intercepts.

• 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 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.