A question to practice functions, graphs and domains

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.

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

Calculating gradients - polynomials

Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions. 

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.

No description 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.

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.

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.

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

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

End of chapter exercises for Engineering Statics: Open and Interactive 

MECE3930U: Heat Transfer Assignment 2

Please follow the Numbas guidance first if you did not attend the Numbas session.

Friction

Friction

Friction

No description given

MECE3930U: Heat Transfer Assignment -1

Please follow the Numbas guidance first if you did not attend the Numbas session.

MECE3930U: Heat Transfer Assignment 3

Please follow the Numbas guidance first if you did not attend the Numbas session.

Number of attempts = 5

Time to complete: unlimited

All answers should be provided without the units, but attention must be paid to the unit instructions in each question. For example, if your answer is 100.3 W/m2K, type 100.3 only.

All answers must be rounded to one digit, unless otherwise stated. For example, if your answer is 100.27, type 100.3.

Counting the number of significant figures. 

No description given

Pythagoras' Theorem and naming sides of right angled triangle

rebelmaths

No description given

No description given

This exam assesses AC Circuit Theory.

No description given