Daily Practice - 11+ Entrance

A solid stands on a 2 by 2 grid with stack heights A1 = 2, B1 = 2, A2 = 1, B2 = 3. How many unit cubes make up the solid altogether?

A solid is rotated 90 degrees on the spot so that the face that used to be its right-hand side now faces the front; the new front elevation becomes identical to the old side elevation, read in the same order. If the solid's old side elevation (row 1 to row 3) was 2, 3, 1, what is the new front elevation?

A square sheet is folded in half vertically, then in half vertically again the same way, so the sheet is now a quarter of its original width but full height (4 layers thick). A hole is punched near the middle of the height, well away from any crease. How many holes will appear when the paper is fully unfolded?

A figure made only of straight lines shows a square of side 6cm with one diagonal drawn corner to corner. Which shape can be traced using only lines already in the figure: a right-angled triangle with legs 6cm and 6cm, or one with legs 3cm and 6cm?

Shape A: hexagon (6 sides) with 4 tally marks. Shape B: heptagon (7 sides) with 3 tally marks. Shape C: octagon (8 sides) with 2 tally marks. Shape D: pentagon (5 sides) with 5 tally marks. Shape E: square (4 sides) with 5 tally marks. Which is the odd one out?