A simple ideal gas law question, that asks the student to calculate one of the four variables. he question can ask for either L atm, or kPa m3, and either K or C for temp.

A random heating question, that randomly picks a material, and then heats it through either one or two phase changes, provides an example graph of the heating with scaled temperature ranges (though not with scaled latent and specific heats), and a table with the suitable constants.

Using simple substitution to find $\lim_{x \to a} bx+c$, $\lim_{x \to a} bx^2+cx+d$ and $\displaystyle \lim_{x \to a} \frac{bx+c}{dx+f}$ where $d\times a+f \neq 0$.

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

Using simple substitution to find $\lim_{x \to a} bx+c$, $\lim_{x \to a} bx^2+cx+d$ and $\displaystyle \lim_{x \to a} \frac{bx+c}{dx+f}$ where $d\times a+f \neq 0$.

Given two complex numbers, find by inspection the one that is a root of a given quartic real polynomial and hence find the other roots. 

Two shops each have different numbers of jumper designs and colours. How many choices of jumper are there?

Intorduction to using the defnition to prove simple stamtements.

Converting into a ratio

Converting into a ratio

A few simple functions are provided of the form ax, x+b and cx+d. Values of the functions, inverses and compositions are asked for. Most are numerical but the last few questions are algebraic.

Students seem to struggle with Sigma notation, this is a simple question to ensure they understand the index can change without affecting the sum.

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve. 

Rearranging simple equations to solve for x.

Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.

Given a number evaluate simple power, negative power, to one half.

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

Small, simple question.

Given a number evaluate simple power, negative power, to one half.

Permutation of n objects; choosing e.g. 3 from 5.

Simple addition 3

Simple addition, is it true?

The simplest case. Divisor is single digit. There is no remainder. 

Given a number evaluate simple power, negative power, to one half.

Simple Linear Equation.

$ \dfrac{n}{a} \pm b = c$

Footballer expects to score in a/b matches.

The simplest case. Divisor is single digit. There is no remainder. 

The simplest case. Divisor is single digit. There is no remainder. 

Simple Percentages

rebelmaths

This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator.

Solve simple two step linear equations with feedback.