Daily Practice - 11+ Entrance

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?

Figure 1: square with a smaller white square centred inside it at exactly half its width. Figure 2: pentagon with a smaller white pentagon centred inside it at exactly half its width. Figure 3: hexagon with a smaller white hexagon centred inside it at exactly half its width. Which follows the same rule: an octagon with a smaller white octagon inside it at half its width, or an octagon with a smaller white octagon inside it at a third of its width?