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National engineering competition for girls

• Talent 2030’s National Engineering competition for girls is a free competition that runs every year and offers girls the chance to win £500 for themselves and £500 for their school. The competition invites girls to solve the major challenges of the 21st century...

Cost of creating a new medicine

This animation provides an introduction to different phases of drug discovery and development, as well as issues influencing the cost and affordability of new medicines.

L Centre

An ‘L’ shape is shown and the task is to find the centre of mass using only a straight edge and pencil. The solution makes use of the fact that the centre of mass of two objects will lie on a line joining their individual centres of mass.

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Target Range

A cannon ball is fired and passes through two given points. The task is to discover the range of the cannon ball, the angle of projection, and the initial velocity. Solving the problem involves using the fact that the trajectory is a parabola, substituting in the coordinates given...

Shoot

A monkey is sitting in a tree and the aim is to shoot the monkey with a tranquilizer so that it can receive urgent medical attention. The monkey is very astute and will let go of the branch he is swinging from at the same instant you shoot your blowpipe. The question is, where you...

The investigation begins by looking at the area of three segments related to a quadratic. The first segment is the area between the curve and the x-axis. Each of the other segments are determined by the difference between the area of a trapezium formed by joining two points on the...

Find f(2)

The maximum value of a quadratic function is given, together with the value of f(3) and the information that this is equal to f(-1). The challenge is to determine the coefficients of the quadratic. This involves the use of symmetry and solution of a simultaneous equation.

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How Close

The coordinates of two points on a line are given. The task is to find the shortest distance from the line of a third given point. The task involves finding the equation of the line joining the first two points, and then calculating a normal to this line that passes through the...

Parabola in a Parallelogram

A parabola is given with the x-coordinate of the minimum point, and two points on the parallelogram shown. The points are joined and then a parallel line is drawn that is a tangent to the parabola. The task is to determine the ratio of the area bounded by the upper line and the...

Volume of a Tetrahedron

The coordinates of the vertices of a tetrahedron is given. The challenge is to work out the volume of the tetrahedron. This involves calculating the area of the base, working out the height, and then using the formula for the volume of a pyramid. The calculation uses a combination...