31st March 2006 at 01:00
Puzzles to test mathematical skills, set by Anita Straker. Solutions below More brainteasers on

Crossnumber puzzle

These 12 numbers fit into the blue squares of the grid, with one digit in square.

10, 11, 20, 21, 304, 314, 516, 526, 37193, 48104, 57085, 69206 How can it be done?

Square dance

Make 9 squares with edges measuring 1, 4, 7, 8, 9, 10, 14, 15 and 18 centimetres.

Find a way of arranging them to make a rectangle.

SOLUTION Crossnumber puzzle (ages 6-11)

SOLUTIONS Square dance (ages 11 to 16) The rectangle measures 32cm by 33cm.

Younger students may need to be told these dimensions. Working clockwise, the 4 corners are filled with the squares with sides 18, 14, 9 and 15cm.

The 10cm square fits in the middle of one side, with the 9 and 14cm squares on either side of it. The other three squares fit in the middle.

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