In square PQRS, M is the midpoint of PS and N is the midpoint of SR. If the area of $$\Delta SMN$$ is 18, then the area of $$\Delta QMN$$ is

Rhombus PQRS is inscribed in rectangle JKLM, as shown. (A rhombus is a quadrilateral with four equal side lengths.)

Segments PZ and XR are parallel to JM. Segments QW and Y S are parallel to JK.

If JP = 39, JS = 52, and KQ = 25, what is the perimeter of rectangle WXYZ?

Two circles each have radius 10 cm. They overlap so that each contains exactly 25% of the other’s circumference, as shown. The area of the shaded region is closest to...

Several three-legged tables and four-legged tables have a total of 23 legs. If there is more than one table of each type, what is the number of three-legged tables?

Twelve 1 by 1 squares form a rectangle, as shown. What is the total area of the shaded regions?

The numbered net shown is folded to form a cube. What is the product of the numbers on the four faces sharing an edge with the face numbered 1?

In the diagram, two circles overlap. The area of the overlapped region is $$\frac{3}{5}$$   of the area of the small circle and $$\frac{6}{25}$$   of the area of the large circle. The ratio of the area of the small circle to the area of the large circle is

A square piece of paper has a dot in its top right corner and is lying on a table. The square is folded along its diagonal, then rotated 90◦ clockwise about its centre, and then finally unfolded, as shown.

The resulting figure is...