Area of black surface in the following image is ________ cm². Note: 1. All curves have same radii. 2. Use the value of pi as 22/7 [Figure: see page 4 of source PDF]

Twenty points are arranged on a plane as shown in the figure below. What is the highest number of squares that can be drawn using any four points as corners? [Figure: see page 4 of source PDF]

The image is a ceramic tile of dimension 20 cm x 20 cm. How many distinct patterns can you create by using two such ceramic tiles in a rectangular patch of 40 cm x 20 cm on the wall? [Figure: see page 5 of source PDF]

Figure to the left shows an unfolded pattern of a die. If four such identical dice are stacked one on top of another, as shown on the right, what is the sum of the numbers appearing on the faces which are parallel to the ground? [Figure: see page 3 of source PDF]

A cube is created by stacking 27 smaller cubes as shown in the figure. A plane, going through vertices A, B and C, cuts the cube as shown in the figure. How many smaller cubes will get cut? [Figure: see page 5 of source PDF]

The attached image shows a corridor floor that is covered with square tiles of the same size. How many tiles are covered by the green patch? [Figure: see page 3 of source PDF]

At most how many triangles can appear by adding two straight lines to the figure? [Figure: see page 6 of source PDF]

The figure shows illustrations of six metal rods which have internal or external screw thread patterns at their ends. The shaded portion in the figure shows the cross section view. What is the maximum length possible by connecting the rods? Threads cannot be connected partially.…

How many distinct motifs appear in the figure on the right? Flips and rotations are to be counted separately, for example the motifs P and Q are distinct. [Figure: see page 6 of source PDF]