Daily Practice - 11+ Entrance

A solid stands on a 2 by 3 grid with heights A1 = 1, B1 = 0, C1 = 2, A2 = 3, B2 = 1, C2 = 0. How many individual unit cubes are touching the table?

The plan of a solid on a 2 by 3 grid (columns A, B; rows 1, 2, 3) shades squares A1, B1, A2 and B3, leaving B2 and A3 blank. Which of these two options cannot be the front elevation: bars of 1, 1 (columns A, B) or bars of 0, 1 (columns A, B)?

A square sheet measures 8cm by 8cm. It is folded in half horizontally, bottom half folded up onto the top half. A hole is punched 1cm from the crease and 2cm from the left edge, on the folded top half. Where do the two holes appear, measured from the left edge and the bottom edge?

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?