This question displays one of 10 graphs. It asks the student to either 

(a) count the vertices, or

(b) count the edges, or

(c) state how many vertices a spanning tree would contain, or

(d) state how many edges a spanning tree would contain, or

(e) state the degree of a selected (randomly chosen) vertex.

Show a list of the factors of a number.

Works by testing each number up to $n$ for divisibility by $n$, so won't do well with really big numbers. Certainly fast enough for numbers up to 4 or 5 digits.

Given the cost of hiring a room for a given number of hours, compare with competing prices given per hour and per minute.

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

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

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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). 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). 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.

Guides the student through the process of writing an integer in binary. They can pick any number they like, then choose from a selection of methods, or just do their own method and have the answer checked.

Topics: Trigonometeric equations and complex numbers
Students must complete the exam within 90 mins (standard time).
Questions have variables to produce randomised questions.

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

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

Inverse and division of complex numbers.  Four parts.

Multiplication and addition of complex numbers. Four parts.

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

Convert from km to metres, km/h to m/s, rounding to whole numbers and sig fig.

This question gives information for students on how to answer number entry parts, with some opportunities to try submitting answers.

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Testing -(-3) +(-2) etc. One part.

Round numbers to a given number of decimal places.

Round numbers to a given number of significant figures.

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Shows how the "decimal" data type can represent very small numbers with more precision than the default "number" data type.