The ages of two friends, when added together, make 63. One said: "I am twice as old as you were when I was as old as you are now." How old is the older friend? Answer with a natural number.
What number should replace the question mark? Five shapes hold numbers: an octagon 136, a hexagon ?, a pentagon 85, a square 68 and a triangle 51. Answer with a natural number.
Four cogs mesh in a chain, with 37, 19, 10 and 5 teeth. How many revolutions must the large (37-tooth) cog make to return all the cogs to their starting position? Answer with a natural number.
The first pair of figures is related in a certain way. Which option completes the second pair in the same way? Choose from the options labelled in the figure.
What number should replace the question mark? Each figure has a top number and left, middle and right numbers: top 7, left 3, middle 5, right 5; top 6, left 4, middle 8, right 8; top 2, left 1, middle 9, right 8; top 7, left 2, middle 3, right ?. Answer with a natural number.
The first pair of figures is related in a certain way. Which option completes the second pair in the same way? Choose from the options labelled in the figure.
What number should replace the question mark? Each row has five numbers around a central oval: 6, 8, [27], 7, 3; 9, 5, [21], 6, 4; 8, 7, [47], 9, 1; 6, 6, [20], 8, 2; 7, 9, [?], 5, 4. Answer with a natural number.