Simple probability question. Counting number of occurrences of an event in a sample space with given size and finding the probability of the event.

Multiplication of 2-digit numbers expressed visually

quick shortcut

quick multiplication

Quiz covering basic arithmetic with complex numbers, solving a quadratic with complex solutions and converting to/from polar and rectangular forms.

Addition activity 1 for Eva.

Adding single digit numbers together.

Adding single digit numbers together.

Adding single digit numbers together.

Adding single digit numbers together.

Adding single digit numbers together.

Adding single digit numbers together.

Adding single digit numbers together.

Adding single digit numbers together.

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are given the total hours of work (randomised) and overtime (randomised) and asked to write an expression for the amount of pay earned.

Just showing how to use the stdev function from the stats extension to calculate the standard deviation of a list of numbers.

Student is given two whole numbers to add, they have to give the sum.

The numbers are in the range of -9 to 9.

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.

Application of the Poisson distribution given expected number of events per interval.

Finding probabilities using the Poisson distribution.

Identify the prime number

Questions around quadratic equations over finite fields of the form $\mathbb F_p$, $p$ a prime number.

Direct calculation of low positive and negative powers of complex numbers. Calculations involving a complex conjugate. Powers of $i$. Four parts.

Original: https://numbas.mathcentre.ac.uk/question/11788/arithmetics-of-complex-numbers-v/ by Newcastle University Mathematics and Statistics

Tramslated to German

Elementary examples of multiplication and addition of complex numbers. Four parts.

Original: https://numbas.mathcentre.ac.uk/question/11784/arithmetics-of-complex-numbers-i/ by Newcastle University Mathematics ans Statistics

Translated to German.

Composite multiplication and division of complex numbers. Two parts.

Original: https://numbas.mathcentre.ac.uk/question/11787/arithmetics-of-complex-numbers-iv/ by Newcastle University Mathematics and Statistics

Translated to German

Inverse and division of complex numbers.  Four parts.

Original: https://numbas.mathcentre.ac.uk/question/11786/arithmetics-of-complex-numbers-iii/ by Newcastle University Mathematics and Statistics

Translated to German.

Multiplication and addition of complex numbers. Four parts.

Original: https://numbas.mathcentre.ac.uk/question/11785/arithmetics-of-complex-numbers-ii/ by Newcastle University Mathematics and Statistics

Translated to German.

Some simple multiple choice questions on the field of complex numbers.

Given a probability mass function $P(X=i)$ with outcomes $i \in \{0,1,2,\ldots 8\}$, find the expectation $E$ and $P(X \gt E)$.

Solve for $x(t)$, $\displaystyle\frac{dx}{dt}=\frac{a}{(x+b)^n},\;x(0)=0$

The student is shown two number entry gaps on either side of a 'less than' sign. Their answer is marked correct if the first number is less than the second, using a custom marking algorithm.

This shows how to mark the gaps in a gap-fill part together, rather than independently.

To prevent students from giving a trivial answer for a part which is used later in adaptive marking, you can consider it as invalid.

Part a of this question has a custom marking algorithm which marks an answer of zero as invalid. Any other answer is used in adaptive marking for part b.