Daily Practice - 11+ Entrance

Calculate the time difference between 07:35 and 12:10.

Shape 1: a small white square. Shape 2: a medium grey square. Shape 3: a large black square. Shape 4: a small white square (the pattern repeats). Shape 5: a medium grey square. What does Shape 6 look like?

The same solid (centre stack height 3, all eight surrounding stacks height 2, on a 3 by 3 grid) is lifted, dipped completely in paint so every outward-facing surface, including the underside, is coloured, then rebuilt in exactly the same arrangement. How many individual unit cubes have exactly 1 painted face?

A solid stands on a 3 by 2 grid with heights A1 = 0, B1 = 2, C1 = 1, A2 = 1, B2 = 0, C2 = 3. Which squares are shaded in the plan?

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?