Find the common ratio of a given geometric sequence, write down the formula for the nth term and use it to calculate a given term in the sequence.

Used for LANTITE preparation (Australia).SP = Statistics & Probability strand. Students are shown a divided bar chart and asked one of seven possible true/false questions.

Used for LANTITE preparation (Australia). SP = Statistics & Probability strand. NC = Non Calculator strand. Students are shown a table of lunch options, given a child's food preferences and asked how many combinations are possible. There are seven possible questions.

Used for LANTITE preparation (Australia). SP  Statistics & Probability strand. NC = Non Calculator strand. Students are shown a table and asked one of seven possible questions.

Used for LANTITE preparation (Australia). SP = Statistics & Probability strand. Students are shown an ngram and asked one of eight possible questions.

Used for LANTITE preparation (Australia). SP = Statistics & Probability strand. Students are shown a bar chart with error bars and asked one of five possible questions.

Used for LANTITE preparation (Australia). SP = Statistics & Probability strand. Students are shown an infographic and asked one of six possible questions.

Used for LANTITE preparation (Australia). SP  Statistics & Probability strand. Students are shown a BMI chart and asked one of seven possible questions.

Used for LANTITE preparation (Australia).  SP = Statistics & Probability strand. Students are shown an unuaual chart and asked one of seven possible questions. The Advice for this question is general in nature.

Used for LANTITE preparation (Australia). SP = Statistics & Probability strand. Students are shown a stacked bar chart and asked one of seven possible questions.

Used for LANTITE preparation (Australia). NC = Non Calculator strand. SP  Statistics & Probability strand. Students are shown an area chart and asked one of seven possible questions.

Used for LANTITE preparation (Australia). NC = Non Calculator strand. SP = Statistics & Probability strand. Students are given the experimental probability in ratio form in a sentence, and asked to write it as a decimal. There are 7 different versions of this question.

Used for LANTITE preparation (Australia). NC = Non Calculator strand. SP = Statistics & Probability strand.This question provides a list of data to the student. They are asked to find the difference between the mean and the median. This question was based on a Newcastle Uni question which also asked the mode, hence the surplus legacy variables (too tricky to delete).

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are asked to obtain a percentage from an infographic, then choose the fraction which is closest. There are 7 different versions of this question.

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are given the gifted proportion as a decimal, and the proportion of those who receive support as a decimal, and are required to find the proportion of the whole school who are gifted but do not receive support (as a decimal). There are 9 versions of this question.

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are given two probabilities in ratio form, and are required to select the higher probability. There are 7 different versions of this question.

This question was modified from a Newcastle University question. Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students need to work out a ratio and simplify it.

Simple exercises introducing the fundamental set operations, and NUMBAS syntax for sets.

Rationalise the denominator with increasingly difficult examples involving compound denominators. 

Translated to German, made some minor changes to Advice section.

Original: https://numbas.mathcentre.ac.uk/question/22555/rationalising-the-denominator-surds/ by Lauren Richards

Separable 1st order ODE with exponentials

Simple exercises introducing the fundamental set operations, and NUMBAS syntax for sets.

Factorise $x^2+bx+c$ into 2 distinct linear factors and then find $\displaystyle \int \frac{a}{x^2+bx+c }\;dx$ using partial fractions or otherwise.

No description given

Determine the largest possible domain of a rational function.

$A$ a $3 \times 3$ matrix. Using row operations on the augmented matrix $\left(A | I_3\right)$ reduce to $\left(I_3 | A^{-1}\right)$.

Demonstration of adaptive marking: the student must first add up the number of apples to buy, then work out how much that would cost. Adaptive marking carries an incorrect number of apples into the cost calculation.

Nursing question. Determine mg/mL or mcg/mL concentration. Division has a remainder.

No description given

No description given

Find $\displaystyle I=\int \frac{2 a x + b} {a x ^ 2 + b x + c}\;dx$ by substitution or otherwise.