What number should replace the question mark? Three figures each have a top number and a two-by-two block of digits: 5 over 85/17, 4 over 76/19 and ? over 91/13. Answer with a natural number.
Switch A turns lights 1 and 2 on/off or off/on; B turns lights 2 and 4; C turns lights 1 and 3; D turns lights 3 and 4. Black = ON, white = OFF. Switches D, C, A and B are thrown in turn and Figure 1 turns into Figure 2. Which switch does not work at all?
What number should replace the question mark? A circle is divided into eight sectors holding the numbers 7, 4, 1, 7, 5, 8, 9, 7 (clockwise from top left), with outer numbers 13, ?, 16, 14, 11, 5, 8, 12 beside them. Answer with a natural number.
To which hexagon below can a dot be added so that it then meets the same conditions as the dot in the hexagon above? Choose from the options labelled in the figure.
You have 59 cubic blocks. What is the minimum number that needs to be taken away in order to construct a solid cube with none left over? Answer with a natural number.
What number should replace the question mark? A row of triangles holds numbers around shared corners: the bottom numbers 13, 14, 20 and 18 are each the sum of the four numbers either side of them. Answer with a natural number.
When the net above is folded to form a cube, which is the only one of the following that can be produced? Choose from the options labelled in the figure.
Which figure completes the analogy? (Three squares are combined into one square; the same is done to the second group of three squares.) Choose from the options labelled in the figure.
In the grid of letters shown (A-E, F-J, K-O, P-T in rows of five and U-Z in the last row), which letter is midway between the letter two letters below the letter immediately to the left of the letter G, and the letter three letters above the letter immediately to the right of the letter V?
When the net above is folded to form a cube, which is the only one of the following that can be produced? Choose from the options labelled in the figure.
Which is the missing section? (The grid is 6 by 6; the missing section fills the four central unknown cells.) Choose from the options labelled in the figure.
What number should replace the question mark? Three figures each have a top digit and a row of three digits: 7 over 9 2 8, 2 over 7 8 4 and 5 over 6 ? 9. Answer with a natural number.