Lois Rollings

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

Converting integers from one base to another. Includes binary to decimal.

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Introduces students to the floor and ceiling functions

Find the inverse of a composite function by finding the inverses of two functions and then the composite of these; and by finding the composite of two functions then finding the inverse. The question then concludes by asking students to compare their two answers and verify they're equivalent.

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This question summarizes the definitions of surjective and injective, and applies them to prove the existance of an inverse.

Slightly harder introductory exercises about the power set.

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

A question to test basic differentiation of functions, including powers of x, trig, log and exponential functions.

Introductory exercise about power sets.

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Drug Calculations

Drug Calculations

Question on drug calculations

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A really simple question which asks the student to multiply two matrices.

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Find $c$ and $d$ such that $x^2+ax+b = (x+c)^2+d$.

Composite functions.

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Introductory exercise about subsets using custom grading code.

Simple exercises introducing the fundamental set operations, and NUMBAS syntax for sets.

Using Jsxgraph to draw the vector field for a differential equation of the form $\frac{dy}{dx}=f(x,y)=x^2-y^2$, and also by moving the point $(x_0,y_0)$ you can see the solution curves going through that point.

If you want to modify $f(x,y)$ simply change the definition of  $f(x,y)$ and that of the variable  str in the user defined function testfield in Extensions and scripts. You have to use javascript notation for functions and powers in the definition of $f(x,y)$.

Compute the weighted average salary in a department, given four salary levels and the percentages of staff earning them.

(Added to calculator test.)

Using three -part ratio and amounts of each colour available, calculate how much of a particular shade of paint can be made.

Income tax

rebelmaths

This question asks you to work out one value as a percentage of another.  You are expected to do these without the help of a calculator.

Given the ratio of ingredients and the total amount of ingredients work out how much of one of the ingredients is needed.