Daily Practice - 11+ Entrance

Shape 1 is a square of side 4cm. Shape 2 is a right-angled triangle with legs 4cm and 4cm, right angle at the bottom-left corner. Its 4cm base (the marked edge) is joined along the top edge of the square, triangle pointing up. What is the total height of the combined shape?

Shape A: square divided into 4 equal parts, 1 shaded black. Shape B: square divided into 4 equal parts, 2 shaded black. Shape C: square divided into 4 equal parts, 3 shaded black. Shape D: square divided into 4 equal parts, all 4 shaded black. Shape E: square divided into 3 equal parts, 2 shaded black. Which is the odd one out?

Top-left: white square. Top-right: black square. Bottom-left: white pentagon. What is the bottom-right cell?

Figure 1: hexagon (6 sides), unshaded. Figure 2: heptagon (7 sides), unshaded. Figure 3: square (4 sides), unshaded. What should the answer figure look like?

Figure 1: hexagon (6 sides) with 3 dots, shaded grey. Figure 2: octagon (8 sides) with 4 dots, shaded grey. Figure 3: square (4 sides) with 2 dots, shaded grey. Which follows the same rule: a decagon (10 sides) with 5 dots shaded grey, or a decagon (10 sides) with 5 dots shaded white?