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.

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

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.

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. Two cube-shaped flowerpots are shown, and their lengths given. The larger pot is either double or triple the length of the smaller pot. Students must work out the volume of the larger pot given the smaller one. There are eight potential questions.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students are given sales and years of service. They read the retainer and commission from two tables, then calculate before-tax income. The sales and years of service are randomly generated.

This is the simplest demonstration of the "code" part type I could think of: write Python to assign x = 1.

An alternative answer gives a hint if the student's code doesn't define x at all.

Questions on basic integration, including indefinite and definite.

Find $\displaystyle \int \frac{2ax + b}{ax ^ 2 + bx + c}\;dx$

Definite integation of basic functions.

A graph shows both the speed and acceleration of a car. Identify which line corresponds to which measurement, and calculate the acceleration during a portion of time.

abc

Rearraning the constant acceleration equation $v^2=u^2+2as$ to make $s$ the subject.

Rearraning the constant acceleration equation $v^2=u^2+2as$ to make $a$ the subject.

Rearraning the constant acceleration equation $v^2=u^2+2as$ to make $u$ the subject.

Rearraning the constant acceleration equation $s=ut+\frac{1}{2}at^2$ to make $a$ the subject.

Rearraning the constant acceleration equation $s=ut+\frac{1}{2}at^2$ to make $u$ the subject.

Rearraning the constant acceleration equation $v=u+at$ to make $t$ the subject.

Rearraning the constant acceleration equation $v=u+at$ to make $a$ the subject.

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Calculating the integral of a function of the form $ax^b$ using a table of integrals. 

Calculating the integral of a function of the form $a_1x^{b_1}+a_2x^{b_2}+a_3x^{b_3}$ using a table of integrals. 

Calculating the integral of a function of the form $\frac{a}{bx}$ using a table of integrals.

Integrating an exponential function of the form $ae^{bx}$ using a table of integrals / anti-derivatives.

Calculating the integral of a function of the form $a \sin(bx)$ using a table of integrals.

Calculating the integral of a function of the form $a \cos(bx)$ using a table of integrals.