Horizontal and vertical shifts and scales of a random cubic spline

aleatorio de función cubica

No description given

This test checks that students understand the principles of double entry bookkeeping

Useful for students' revision. Assesses ability to apply the algorithms correctly. Question has randomised values.

Given a quantity per day, how many per week

ARR

compound interest

Decreasing a number by a percentage

proportion as %

% of number

original amount

compound interest

CI only

%

PV

No description given

Solve for $x$ each of the following equations: $n^{ax+b}=m^{cx}$ and $p^{rx^2}=q^{sx}$.

Rearrange some expressions involving logarithms by applying the relation $\log_b(a) = c \iff a = b^c$.

Solve for $x$: $c(a^2)^x + d(a)^{x+1}=b$ (there is only one solution for this example).

Asks students to calculate a Legendre symbol.

Asks students to calculate a Legendre symbol.

This is a set of practice questions for the non-right-angle trig component of the Australian year 12 Mathematics Standard 2 course.

It asks questions about

• finding sides and angles of right angle triangles,
• finding areas of triangles,
• using the sine rule,
• using the cos rule,
• bearings, and
• radial surveys.

No description given

$A$ a $3 \times 3$ matrix. Using row operations on the augmented matrix $\left(A | I_3\right)$ reduce to $\left(I_3 | A^{-1}\right)$.

This is the test description. Placeholder text can be changed per test.

Solve unknown on one side

Find $\displaystyle \frac{d}{dx}\left(\frac{m\sin(ax)+n\cos(ax)}{b\sin(ax)+c\cos(ax)}\right)$. Three part question.

Solve for $x$ each of the following equations: $n^{ax+b}=m^{cx}$ and $p^{rx^2}=q^{sx}$.

Solve for $x$: $c(a^2)^x + d(a)^{x+1}=b$ (there is only one solution for this example).