Recovering original function given some information such as derivative and value at some point.

Convert numbers between 0 and 1 intro standard form/scientific notation.

Convert numbers between 0 and 1 intro standard form/scientific notation.

Convert numbers between 0 and 1 intro standard form/scientific notation.

Convert numbers between 0 and 1 intro standard form/scientific notation.

Written to help prepare pre-service teachers for the numeracy test in Australia called LANTITE.

Based on the Australian Core Skills Framework - numeracy - level 3 - personal and community sample activity:Accurately measures a range of quantities to follow a recipe or operating instructions
incorporating making a product of a smaller or larger size than specified, e.g. follows a recipe
for six people and can adjust it to cater for 24 people

Has an annoying plural issue

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Convert numbers between 0 and 1 intro standard form/scientific notation.

A question which asks students to encrypt a number using RSA, then to factor a small public key and find the decryption exponent.

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This question tests students' ability to use repeated squaring to perform modular exponentiation.  Moduli are random numbers between 30 and 70, the base is a number between 10 and 29.  To generate questions of approximately uniform difficult the exponent is taken to be 256 plus two smaller powers of 2. 

Simultaneous equations question. values for the coefficients are generated to be small numbers, random values are generated for the weights and the resultant energies are calculated for the question. Student needs to solve equations to find coefficients. Advice gives solution using method of elimination.

Question requires students to determine if the smallest angle of a triangle is smaller than a given value. Answer is Yes/No but students need to use cosine rule to find the smallest angle and to know that smallest angle is oppositeshortest side (otherwise they will need to find all angles of the triangle). Designed for a test where students upload handwritten working for each question as a check against guessing. Also designed to make it difficult for students to google or use AI to find the answer.

Question requires students to determine if the largest angle of a triangle is smaller than a given value. Answer is Yes/No but students need to use cosine rule to find the largest angle and to know that largest angle is opposite longest side (otherwise they will need to find all angles of the triangle). Designed for a test where students upload handwritten working for each question as a check against guessing. Also designed to make it difficult for students to google or use AI to find the answer.

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There are two parts: 

(3x)/4-x/5+x/3 and (3x/4)-(x/5+x/3).

The numbers are randomised to small, coprime, positive integers.

Calculate the time taken for a certain distance to be travelled given the average speed and the distance travelled.

Small, simple question.

Write a large number and a small number in scientific notation. (Numbers contain 5 digits). Indices range from -7 to +7, excluding 0 and 1

Part of HELM Book 1.2

Students are shown two decimals and asked to enter the correct sign to compare them: > or < or =.

This question was written by MESH (the Mathematics Education Support Hub) at Western Sydney University.

Students select the option which lists the four decimal weights of premature infants in order from smallest to highest.

This question was written by MESH (the Mathematics Education Support Hub) at Western Sydney University.

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Compute a 95% confidence interval for the population mean given a small sample, and compare it with a confidence interval for a different population.

Compute a 95% confidence interval for the population mean given a small sample, and compare it with a confidence interval for a different population.

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Convert numbers between 0 and 1 from standard form/scientific notation.

Convert numbers between 0 and 1 intro standard form/scientific notation.

Using the given information to complete the equation $y= A \cos{ \left( \frac{2 \pi}{P} x  \right) }+V $ that describes an electromagnetic wave and calculating the smallest angle, $x$, for which $y=y_0$.

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.

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