Students are shown a right angled triangle and asked to find the value of an angle using a trig identity.

The triangle is a fixed image, but the angles and side lengths are randomly selected.

The angle is to be given in degrees and minutes.

There are 4 orientations of the triangle in the diagram. The orientation is randomly chosen.

Students are shown a right angled triangle and asked to compute a side length using a trig identity.

The triangle is a fixed image, but the angles and side lengths are randomly selected.

The angle is given in degrees and minutes, and students are asked for the side length correct to 1 decimal place.

There are 4 different triangle orientations that can display.

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

Integrating a polynomial functions which describe the rate of change of a population over time to find and use an equation that describes the total population according to time.

Given the probabilities that each of four out of five friends will win a round of mini-golf, work out the probability that the fifth friend won't win, then use that to find the probability that they will win.

Find the original price before a discount by dividing the new price by the percentage discount.

Given normal distribution $\operatorname{N}(m,\sigma^2)$ find $P(a \lt X \lt b),\; a \lt m,\;b \gt m$ and also find the value of $X$ corresponding to a given percentile $p$%. 

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are asked to find a fraction of a fraction. There are 9 different versions of this question.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students must do a simple interest calculation (geven principal, rate and months, all of which are randomly generated) then subtract their answer from the supplied compound interest amount to find the difference.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students are given the number of years worked, and the price paid. They use the table to look up the percentage discount, then calculate the full price. The number of years and price paid are randomised.

Find $\displaystyle \int \frac{2ax + b}{ax ^ 2 + bx + c}\;dx$

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

Finding the cost including VAT

rebelmaths

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force acts in the positive $x$ and positive $y$ direction.

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ and negative $y$ direction.

Find a perpendicular vector to a pair of vectors.

Finding a vector when given the magnitude of the vector and a parallel vector.

Given the coordinates of three 2-dimensional points $A$, $B$ and $C$, find the vectors $\vec{AB}$, $\vec{AC}$ and $\vec{CB}$.

Find the $x$ and $y$ components of the resultant force on an object, when multiple forces are applied at different angles.

Calculating a section of a sector of a circle when given the arc length and angle of the sector of the circle. This question requires the use of the formulas to find the area of a sector of a circle and to find the area of a triangle. 

Finding the area of a circle when given the arc length and angle of a sector of the circle.

Finding the radius of a circle when given the arc length and angle of a sector of the circle.

Finding the transformation of a function with a modulus, from $f(x)=nx-m|x|$ to $af(x)$.

Finding the transformation of an exponential function $f(x)=e^{nx}$ to $af(x)$.

Finding the transformation of a function $f(x)=\frac{nx^2}{x+c}$ to $af(x)$.

Finding the transformation of a quadratic function $f(x)=ax^2+bx+c$ to $nf(x)$.

Finding the transformation of a linear function $f(x)=mx+c$ to $af(x)$.

Finding the transformation of a function with a modulus, from $f(x)=nx-m|x|$ to $f(x)+a$.

Finding the transformation of an exponential function $f(x)=e^{nx}$ to $f(x)+a$.

Finding the transformation of a function $f(x)=\frac{nx^2}{x+c}$ to $f(x)+a$.