More work on differentiation with trigonometric functions

Straightforward solving linear equations question.

Adapted from 'Simultaneous equations by substitution 3 with parts' by Joshua Boddy.

A simultaneous equations question with integers only

Solve for $x$: $\displaystyle ax ^ 2 + bx + c=0$.

Using the chain rule within product rule problems.

Solve for $x$: $\displaystyle ax ^ 2 + bx + c=0$.

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                                           

Given mean and sd of 1000 sample returns on a scale of 1 to 7 together with a given score, find the z-score.

Also find the 95% confidence interval for the population mean.

A simultaneous equations question with integers only

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.

r digits are picked at random (with replacement) from the set $\{0,\;1,\;2,\ldots,\;n\}$. Probabilities that 1) all $\lt k$, 2) largest is $k$?

Basic calculation exercise using distance, mpg and cost per litre (with the conversion factor for gallons to litres given).

Based on a generic test QTS question.

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                                           

Simple trig equations with radians

Simple trig equations with radians

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Using BODMAS within mathematical expressions

Using BODMAS within mathematical expressions

Addition, multiplication and division of fractions.

Calculation of area & circumference of circle, given its radiua.

A block lies on rough horizontal ground. The coefficient of friction is given and students find the maximum value of friction $F_{\text{MAX}} = \mu R$. This is then used to determine the magnitude of force that must be exceeded to achieve movement when the force is applied horizontally and at two different angles to the horizontal.

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

Finding the stationary points of a cubic with two turning points

Finding the stationary points of a cubic with two turning points

Given th original formula the student enters the transformed formula

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

No description given

Given th original formula the student enters the transformed formula

Some practice collecting like terms of algebraic expressions, with detailed advice.