multiple choice testing csc, sec, cot  of  random(pi/6, pi/4, pi/3) radians

Calculations in $\mathbb{Z_n}$ for three values of $n$.     

Place value, addition, subtraction, multiplication of decimals.

This exercise will help you rearrange a linear equation to find the value of a given variable

This exercise will help you rearrange a linear equation to find the value of a given variable

Solving linear equations to find the value of x.

Given value of x^(1/n), x^(-1/n) find x.

multiple choice testing sin, cos, tan of  random(0,90,120,135,150,180,210,225,240,270,300,315,330) degrees

$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$.

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

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.

A block lies on rough horizontal ground. The coefficient of friction is given and students find the maximum value of friction $F_{\text{MAX}} = \mu R$ to determine if the block will move when three different magnitudes of force act on the block horizontally.

Finding the acceleration of a particle on an inclined plane which is at an angle to the horizontal. Smooth then with value for coefficient of friction.

Finding Cosine and Tangent values for an angle if Sine value is given. 

Functional value of a function at a point. 

Finding the values which satisfy an inequality containing two linear factors. 

Finding values which satisfy an inequality.

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.

These questions are asking you to use a non-calculator method to work out a percentage amount of a value.

A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.

A question testing the application of the Sine Rule when given two sides and an angle.  In this question the triangle is obtuse and the first angle to be found is obtuse.

A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.

Two sample t-test to see if there is a difference between scores on questions between two groups when the questions are asked in a different order.

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$x_n=\frac{an^2+b}{cn^2+d}$. Find the least integer $N$ such that $\left|x_n -\frac{a}{c}\right| < 10 ^{-r},\;n\geq N$, $2\leq r \leq 6$. Determine whether the sequence is increasing, decreasing or neither.

In this question, a locally extreme value (and its location) of a function will be determined.

This question plots a general amplitude modulated carrier signal defined by $v_s(t) = (V_{DC} + V_m \cos(2\pi f_m t))\cos(2\pi f_c t)$, where $V_{DC}$ is a DC offset, $V_m$ is the message amplitude, $f_m$ is the message frequency and $f_c$ is the carrier frequency ($f_c = 20f_m$ in this question). The student must identify the values of $V_{DC}$ and $V_m$ and enter these values into the appropriate gaps in the equation of the AM signal.

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Statistics and probability. 2 questions. Both simple regression. First with 8 data points, second with 10. Find $a$ and $b$ such that $Y=a+bX$. Then find the residual value for one of the data points.