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.

Multiplying mixed numbers

Convert Index form into an Ordinary number

Marks two gaps correrct, if the numbers meet a specific condition (here: product is a given number).

Marks two gaps correrct, if the numbers meet a specific condition (here: product is a given number).

Given two numbers, find the gcd, then use Bézout's algorithm to find $s$ and $t$ such that $as+bt=\operatorname{gcd}(a,b)$. 

Given the original price of a smartphone and the rate at which it decreases, calculate its price after a given number of months. In the second part, calculate the time remaining until the price goes below a certain point.

Multiplication of $2 \times 2$ matrices.

Template question. The student is asked to perform a two factor ANOVA to test the null hypotheses that the measurement does not depend on each of the factors, and that there is no interaction between the factors.

Given two numbers, find the gcd, then use Bézout's algorithm to find $s$ and $t$ such that $as+bt=\operatorname{gcd}(a,b)$. Finally, find all solutions of an equation $\mod b$.

Given two numbers, find the gcd, then use Bézout's algorithm to find $s$ and $t$ such that $as+bt=\operatorname{gcd}(a,b)$. Finally, find all solutions of an equation $\mod b$.