224 results authored by Maria Aneiros - search across all users.

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• Question

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.

• Question

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 positive gradient.

• Exam (19 questions)

No description given

• Exam (49 questions)

Maths 1 B week 1 to week 6 content

• Exam (4 questions)

Questions on differentiation from first principles, and continuity and differentiability.

• Question

Problem on a closed cylindrical tank having minimum surface area

• Question

Another practical application of differentiation

• Question

No description given

• Question

Compute a table of values for a quadratic function. A JSXgraph (the graph paper) plot shows the curve going through the entered values. The student input is now disconnected from the graph so that they slide the points usually after they input the values and the answer fields are not updated.

• Exam (16 questions)

No description given

• Question

Given two complex numbers, find by inspection the one that is a root of a given quartic real polynomial and hence find the other roots.

• Question

Find the determinant of a $4 \times 4$ matrix.

• Question

Find the determinant of a $3 \times 3$ matrix.

• Question

Find the first 3 terms in the MacLaurin series for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$.

• Question

Find the first 3 terms in the Taylor series at $x=c$ for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$.

• Question

Basic rules of derivatives

• Question

Given a randomised log function select the possible ways of writing the domain of the function.

• Question

Rearranging equations to change the subject

• Question

Find the inverse of a composite function by finding the inverses of two functions and then the composite of these; and by finding the composite of two functions then finding the inverse. The question then concludes by asking students to compare their two answers and verify they're equivalent.

• Question

A few simple functions are provided of the form ax, x+b and cx+d. Values of the functions, inverses and compositions are asked for. Most are numerical but the last few questions are algebraic.

• Question

Substitute values into formulae for the area or volume of various geometric objects.

• Question

Given a randomised square root function select the possible ways of writing the domain of the function.

• Question

Given a randomised rational function select the possible ways of writing the domain of the function.

• Question

Multiple choice question. Given a randomised polynomial select the possibe ways of writing the domain of the function.

• Maria's copy of Odd Functions
Needs to be tested
Question

A graphical introduction to the concept of even functions a symmery

• Maria's copy of Even Functions
Needs to be tested
Question

A graphical introduction to the concept of even functions a symmery

• Question

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve.

• Question

No description given

• Question

Represent a given probability to a decimal, fraction or percentage.

• Question

Calculating the square root of a complex number using De Moivre.