Resources by Something in Common

Criss-crossing

In this resource students are given four coordinate points and asked to find the equation of the lines that connect them. The four lines intersect to form a rectangle- can students find the area of the rectangle?

Each student worksheet contains different coordinate points, but the solutions all have...

Cross Bear!

This problem is an interesting variation on ‘Goldilocks and the Three Bears’. All three bears start eating their porridge at the same time but at different rates. The time is given for Daddy...

Crossed Lines

The equations of two intersecting lines are given. The challenge is to use Pythagoras’ theorem to show that the triangle formed by the lines and the y-axis is a right-angle. The point of intersection is determined by solving simultaneous equations.

Each example is derived from a pair of perpendicular lines....

Cubic, Tangent, Circle

The graph of a cubic function with three real roots is drawn. A circle is then drawn so that the circumference of the circle passes through two adjacent roots. A tangent to...

Cuboid faces

In this teacher presentation and collection of student worksheets, the area of each face of a cuboid is given. Students are then asked to calculate the volume.

Each student worksheet contains a different cuboid, but the solutions all have something in common. The teacher presentations highlights two possible...

Cuboid faces

In this teacher presentation and collection of student worksheets, the area of each face of a cuboid is given. Students are then asked to calculate the volume.

Each student worksheet contains a different cuboid, but the solutions all have something in common. The teacher presentations highlights two possible...

Determine the diagonals

In this resource students are given a quadrilateral with one angle of 60 degrees and varying side lengths- with two of the sides of equal length. The challenge is to calculate the lengths of the diagonals.

Each student worksheet contains a different quadrilateral, but the solutions all have something in...

Equal tangents

In this problem students are given two circles with tangents that meet at a point P. The distance along the tangents from the circles to the point P are equal in length. The challenge is to describe the relationship between the x and y coordinates of the point P, given the coordinates of the centre of the circles...

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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Four Crescents

A diagram is shown with a circle, centred on a rectangle with given dimensions.  Semi-circular arcs are drawn with the sides of the rectangle as diameters. The areas between the semi-circles and the circles form crescents. The task is to calculate the area of the crescents.

When working on the numerical...