Adding and Subtracting Fractions

Matching a straight line graph to its equation.

Simple Linear Equation.

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

Solving simple simultaneous equations.

Recall and use of formulae for volume and surface area of a sphere.

Recall and interpretation of formula for area of a parallelogram.

Distinguishing -(72) and (-7)2.

Adding and Subtracting Fractions

Questions on addition, subtraction, multiplication and powers of negative numbers.

These short questions concentrate on conversion  between decimals and percentages

These short questions allow you to practice converting between decimals and fractions

Equations of type ax-b = c.

Includes advice.

Information on inputting powers.

Instructions on inputting ratios of algebraic expressions. Could link to calculator input.

How to input x^2 and x*y.

Multiplication of $2 \times 2$ matrices.

Ball projected vertically within water of a swimming pool. Finding the acceleration, greatest height above the swimming pool floor reached, speed and time. Uses SUVAT equations and $F=ma$.

Questions about complex arithmetic; argument and modulus of complex numbers; complex roots of polynomials; de Moivre's theorem.

Questions on vector arithmetic and vector operations, including dot and cross product, as well as the vector equations of planes and lines.

Solve for $x$:  $\log_{a}(x+b)- \log_{a}(x+c)=d$

Solve for $x$: $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$. 

Make sure that your choice is a solution by substituting back into the equation.

Template question. The student is asked to perform a two factor ANOVA to test the null hypotheses that the measurement does not depend on each of the factors, and that there is no interaction between the factors.

Multiplication of $2 \times 2$ matrices.

Instructions on inputting ratios of algebraic expressions.

Instructions on inputting ratios of algebraic expressions.

Financial Mathematics

Fixed base. Chain base. Laspeyres Price and Quantity. Paache Price and Quantity. Interpretation. 

rebelmaths

6 questions which introduce the student to the Numbas system.

rebelmaths