This question tests a student's ability to multiply two fractions. Some of the numerators or denominators will be negative.

This question tests a student's ability to multiply two fractions.

This question tests a student's ability to raise a positive base to a negative exponent.

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En linje 

En linje med en tilfeldig $x$- og $y$- skjæring plottes, og du må dra to punkter til de stedene der linja krysser $x$- og $y$- aksene.

Integration by Substitution

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Basic indefinite integrals, Basic definite integrals, integration by substitution

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Basic indefinite integrals, Basic definite integrals, integration by substitution

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Integration by Substitution

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Integration by Substitution

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Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

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5 questions on indefinite integration. Includes integration by parts and integration by substitution.

5 questions on indefinite integration. Includes integration by parts and integration by substitution.

Construct a line through two points in a GeoGebra worksheet. Change the line by setting the positions of the two points when the worksheet is embedded into the question.

Working with powers

This question tests a student's ability to raise a negative base to a negative exponent.

Questions about Pythagoras' theorem

Several quadratics are given and students are asked to complete the square.

This question asks you to place a point on a number line. The number is a multiple of pi.

This question asks you to place a point on a number line. The number is a multiple of pi.

This question asks you to place a point on a number line. The number is a multiple of sqrt{2}/2.

This question asks you to place a point on a number line. The number is a multiple of sqrt{2}/4.

Differentiate $ \sin(ax+b) e ^ {nx}$.

Two double integrals with numerical limits

Find the stationary point $(p,q)$ of the function: $f(x,y)=ax^2+bxy+cy^2+dx+gy$. Calculate $f(p,q)$.

Definite Integrals

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Given $f(x)=(x+b)^n$. Find the gradient and equation of the chord between $(a,f(a))$ and $(a+h,f(a+h))$ for randomised values of $a$, $b$ and $h$.

Given a graph, the student is asked to determine the quadratic function.

Finding values which satisfy an inequality.

This question tests a student's ability to subtract a fraction from another one with the same denominator.