Which figure completes the analogy (first group of shapes is to the nested figure as the second group is to ?)? Choose from the options labelled in the figure.
Peter, Paul and Mary share out a certain sum of money between them. Peter gets 2/5, Paul gets 0.55 and Mary gets 45 pounds. How many pounds is the original sum of money? 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.
What number should replace the question mark? Three hexagons each hold six numbers: (4, 9, 6 along the top and 9, 9, 2 along the bottom), (2, 8, 7 and 5, 7, 4) and (3, 5, 8 and 7, ?, 6). Answer with a natural number.
Which is the missing section? (The grid has rows 20 19 18 17 16 / 31 28 ? 22 19 / 26 21 16 ? 6 / 26 22 18 14 ?.) Choose from the options labelled in the figure.
What number should replace the question mark? Three circles each have a centre number and four quarter numbers: centre 5 with 9, 7 (top) and 5, 8 (bottom); centre 18 with 15, 6 and 2, 11; centre ? with 6, 9 and 5, 17. Answer with a natural number.
Letters A to H are arranged around a circle with opposite letters joined. What letter is directly opposite the letter that is two letters away clockwise from the letter that is directly opposite the letter that is three letters away anti-clockwise from the letter E?
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 C, A, D and B are thrown in turn and Figure 1 turns into Figure 2. Which switch does not work at all?