Musa Mammadov

SUVAT equation questions, for mechanics page in wiki. Uses $v=u+at$ and $s=((u+v)/2)t$.

A few quadratic equations are given, to be solved by completing the square. The number of solutions is randomised.

A quadratic equation (equivalent to $(x+a)^2-b$) is given and sketched. Three equations are given that can be solved using the graph. There is a chance there will only be one solution.

Finding X-Y intercepts for quadratic and cubic equations.

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Solve a logarithmic equation

Simple derivatives

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Rate of change problem involving velocity & acceleration

Converting Radians to Degrees

rebelmaths

A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.

Addition, subtraction and multiplication by a scalar for 2 x 2 matrices.

This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator.

Multiplication of $2 \times 2$ matrices.

Recovering original function given some information such as derivative and value at some point.

Find $\displaystyle \int ae ^ {bx}+ c\sin(dx) + px ^ {q} + k/x \;dx$.

Questions testing rather basic understanding of the index laws.

$x$ 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.) Also find values and sign of cos/tan/sin(x).

Divisor is single digit. There is a remainder which we express as a decimal by continuing the long division process. Rounding is required to one decimal place. The working suggests determining the second decimal place so the student knows whether to round up or down.

Finding the coordinates and determining the nature of the stationary points on a polynomial function

Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

Questions testing rather basic understanding of the index laws.

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

More work on differentiation with trigonometric functions

Introduction to using the product rule

Differentiating exponentials and Logs

Converting Degrees to Radians

rebelmaths

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.

Definite Intgerals

Definite Integrals

Differentiate $\displaystyle \ln((ax+b)^{m})$