Here you will find task for the 8. to 13. grade.

Here you will find exercises from classes 8 to 13.

Her finner du oppgaver fra klassetrinn 1 til 7

Her finner du oppgaver fra klassetrinn 8 til 13

Factorising further basic quadratics into linear factors.

Pythagoras' Theorem and naming sides of right angled triangle

rebelmaths

No description given

Solve $\displaystyle{ax ^ 2 + bx + c=0}$ by factorisation. 

Two questions testing the application of the Cosine Rule when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.

Algebra:  Quadratic Factorisation.

              Coefficient of squared term is 1.

Factorising basic quadratics into linear expressions

Factorising further basic quadratics into linear factors.

Find angle and side in a right angled triangle.

rebelmaths

Exam about types of angle - acute, right, obtuse, reflex.

No description given

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

ASDF

Basic Arithmetic

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Gitt vektorene  $\boldsymbol{A,\;B}$, finn vinkelen mellom dem.

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.

No description given

Find (hyperbolic substitution):
$\displaystyle \int_{b}^{2b} \left(\frac{1}{\sqrt{a^2x^2-b^2}}\right)\;dx$

This is a test of the Numbas math question examiner

$x_n=\frac{an^2+b}{cn^2+d}$. 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.

$I$ compact interval. $\displaystyle g: I\rightarrow I, g(x)=\frac{x^2}{(x-c)^{a/b}}$. Are there stationary points and local maxima, minima? Has $g$ a global max, global min? 

$g: \mathbb{R} \rightarrow \mathbb{R}, g(x)=\frac{ax}{x^2+b^2}$. Find stationary points and local maxima, minima. Using limits, has $g$ a global max, min? 

$I$ compact interval, $g:I\rightarrow I$, $g(x)=(x-a)(x-b)^2$. Stationary points in interval. Find local and global maxima and minima of $g$ on $I$. 

$I$ compact interval, $g:I\rightarrow I,\;g(x)=ax^3+bx^2+cx+d$. Find stationary points, local and global maxima and minima of $g$ on $I$

$I$ compact interval, $g:I\rightarrow I,\;g(x)=ax^3+bx^2+cx+d$. Find stationary points, local and global maxima and minima of $g$ on $I$