Use a substitution to simplify an integral.

Several questions on rounding number and using approximations to estimate. Several real-world examples.

A demonstration of the random person extension, which picks representative names of people.

Integration by susbtitution. Use the letter C for the constant.

A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four such questions.

Calculating the area enclosed between a linear function and a quadratic function by integration. The limits (points of intersection) are not given in the question and must be calculated.

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Solving a quadratic equation of the form $ax^2+bx+c=0$.

A question made for the FYiMaths December meeting, to show off some of the more adventurous things you can do with Numbas.

Given random graph of cirlce, write locus in complex form. centre in 1st quadrant

Una partícula se proyecta hacia arriba de un plano rugoso a una velocidad dada. Dado el ángulo de la pendiente y el coeficiente de fricción, encuentre la distancia que recorre la partícula antes de llegar al reposo instantáneo.

Solve a trigonometric equation involving a conversion to tangent by division by cosine.

Friction

An exam set up to produce printed worksheets.

Given normal distribution $\operatorname{N}(m,\sigma^2)$ find $P(a \lt X \lt b),\; a \lt m,\;b \gt m$ and also find the value of $X$ corresponding to a given percentile $p$%. 

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Identify well-known fractional equivalents of decimals. Convert obscure decimals and recurring decimals into fractions.

Example of a dilution calculation involving mass concentration and molarity calculations.

This question provides practice at adding, subtracting, dividing and multiplying complex numbers in rectangular form.

A los estudiantes se les da la ecuación de una parábola y se les pide que identifiquen su gráfica. Se les da la curva parabólica, una exponencial, una hipérbola y una recta a elegir.

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Paired t-test to see if there is a difference between times taken to complete a task.

LSD and Tukey yardsticks on three treatments. Also one-way Anova test on same set of data.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students are shown an infographic, and need to calculate a percentage from the information supplied. There are 7 different versions of this question.

Used for LANTITE preparation (Australia). SP = Statistics & Probability strand. Students are shown an infographic, given the details of one man and asked how many routine screenings they should have. There are seven possible questions.

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are asked to find a fraction of a fraction. There are 9 different versions of this question.

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression. The word problem is about the costs of sweets in a sweet shop. The quantity of each type of sweet is randomised.

This question was modified from a Newcastle University question.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students must do a simple interest calculation (geven principal, rate and months, all of which are randomly generated) then subtract their answer from the supplied compound interest amount to find the difference.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students are given the number of years worked, and the price paid. They use the table to look up the percentage discount, then calculate the full price. The number of years and price paid are randomised.