Write an expression (a^k1*a^k2)/a^k3 using a single positive index. Variable a is randomised and can be a number or a letter. k1,k2 and k3 are randomised and can be positive or negative numbers.

Part of HELM Book 1.2

Remove the brackets from (na)^k, or from n(a)^kwhere n is a number and a is a variable.

Part of HELM Book 1.2

Use the index laws to simplify 3 simple expressions;

n^a*n^b, n^a/n^b, (n^a)^b, where n is a randomised variable or number, and a and b are randomised nonzero integers.

Part of HELM Book 1.2

Part of HELM Book 1.1

Round a number to $n$ significant figures. Part of HELM Book 1.1

Round a number to $n$ decimal places. Part of HELM Book 1.1

Find reciprocal. Find a modulus. Find a factorial. Part of HELM Book 1.1

Part of HELM Book 1.1

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

A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.

A few quadratic equations are given, to be solved by completing the square. The number of solutions is randomised.

The number of patients arriving at a dentist’s surgery each afternoon follows
a Poisson distribution, with a mean of four patients per hour.
Calculate the probability that in a particular one-hour period

The number of patients arriving at a dentist’s surgery each afternoon follows
a Poisson distribution, with a mean of four patients per hour.
Calculate the probability that in a particular one-hour period

The student is shown a table with rows for each class in a school, and two columns of numbers: books, and children. They have to work out the column totals, and the number of books per child, and enter them in the table.

Natural numbers addition algorithm. 2 and 3 digit numbers. Carrying.

Decimals addition algorithm. 2 and 3 digit numbers. Carrying.

No description given

A quick practice set of problems for education students to take in preparation for their numeracy test.

Students are given a positive whole number less than one hundred and are asked to find either 1/10, 1/100 or 1/1000 of it.

Students are given a positive whole number less than one thousand and are asked to divide it by either 10, 100, 1000 or 1,000,000.

Students are given a number with two decimal places and are asked to multiply it by either 10, 100 or 1000.

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.

This question shows how to use the programming extension's run_code function to run some Python code and use its result in the marking of a non-code part type.

Python is used to calculate the correct answer for a number entry part type. This could be done

Use the product rule (number of ways of doing A and B = (no. for A)*(no. for B)) to count the number of ways of doing two independent tasks.

In the first part, the student must write an R function to compute the first $n$ terms of the series $\frac{1}{k!}$.

In the second part, they must use that function to calculate an approximation to $e$ using a given number of terms of the series.

Asks the student to calculate the sum of the triangular numbers (up to some randomised number). 

Steps guide the student through each step in the calculation.

The student must write code to filter a given list of numbers, returning only the positive elements.

A Eukleides diagram showing a list of numbers, each in their own box, with the sum drawn above.

A Eukleides diagram showing a list of numbers, each in their own box, with the sum drawn above.

Draws a diagram showing a randomly-chosen number of circles, packed in a box.