Daily Practice - 11+ Entrance

A square sheet of paper is folded in half diagonally, corner to corner, so the bottom-left corner lands exactly on the top-right corner. A hole is punched 2cm from the crease, well inside the folded triangle. How many holes appear once unfolded, and are they the same distance from the crease as the original hole?

Shape 1 is a rectangle 6cm wide and 2cm tall. Shape 2 is a rectangle 2cm wide and 3cm tall. Shape 2's marked 2cm edge joins along part of Shape 1's top edge, flush with the right-hand end. What is the combined shape's height at its tallest point?

Shape A: unshaded triangle. Shape B: unshaded square. Shape C: shaded black pentagon. Shape D: unshaded hexagon. Shape E: unshaded heptagon. Which is the odd one out?

A 3 by 3 grid uses a single rule running in reading order (left to right, row 1, then row 2, then row 3): the figure rotates 45 degrees clockwise from each cell to the next, starting at 0 degrees in the top-left cell. What is the rotation of the bottom-right (9th) cell?

Figure 1: small white pentagon. Figure 2: large black pentagon. Figure 3: small white hexagon. What should the answer figure look like?