This is part of our collection of Short Problems.
You may also be interested in our longer problems on Functions and Graphs: Age 14-16.
We have put together a selection of these short problems as printable worksheets:
Printable worksheet: Age 14-16 ⭐⭐⭐ Printable worksheet solutions
2 out of 3
What is the area of the triangle formed by these three lines?
2 out of 3
How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?
3 out of 3
The curve $y=x^2-6x+11$ is rotated through $180^\circ$ about the origin. What is the equation of the new curve?
3 out of 3
Sketch the graph of the curve $y^2 = x(2-x)$
3 out of 3
A triangle of area 64 square units is drawn inside the parabola $y=k^2-x^2$. Find the value of $k$.
3 out of 3
Can you find the gradients of the lines that form a triangle?
3 out of 3
Use the information about the triangles on this graph to find the coordinates of the point where they touch.
3 out of 3
Which of these lines comes closer to the origin?
