5 questions which introduce the student to the Numbas system:

1. Input 1

2. Input 2

3. Input 3         

4. Input 4       

5. Input 5                                                                                  

This task is part of a set of three assessment tasks for 7.RP.2.

7.RP.2 Robot Races asks students to "explain what a point (x,y) on the graph of a proportional relationship means in terms of the situation" and to "compute unit rates associated with ratios of fractions." Students also need to compare the speeds of the robots.

Given two ordered sets of vectors $S,\;T$ in $\mathbb{R^5}$ find the reduced echelon form of the matrices given by $S$ and $T$ and hence determine whether or not they span the same subspace.

These 5 questions will introduce the student to the Numbas system-

1. Input 1          

2. Input 2

3. Input 3

4. Input 4     

5. Input 5                                           

Using BODMAS within mathematical expressions

Using BODMAS within mathematical expressions

Find eigenvalues and eigenvectors of a $2 \times 2$ matrix.

Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.

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

Solve a pair of linear equations by writing an equivalent matrix equation.

This exercise will help you do advanced mathematical operations using fractions.

Two questions on solving systems of simultaneous equations.

For 'Equations of motions' page on the wiki, under kinematics. Includes questions using the SUVAT equations.

Four questions on statics of a particle.

Practice using the log rules to add and subtract logarithms

Rearrange equations to make $x$ the subject.

Two questions on solving systems of simultaneous equations.

Version 1.0 (July 2016)

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.

Financial Mathematics

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

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6 questions which introduce the student to the Numbas system.

rebelmaths

Differential equations.

rebelmaths

Practice using the log rules to add and subtract logarithms

Version 1.0 (July 2016)

Given ratio of ingredients in a preparation, and amounts of each ingredient, work out how much of the preparation you can make.

Based on question 5 from section 3 of the maths-aid workbook on numerical reasoning.

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