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Double Digit

Choose two digits and arrange them to make two double-digit numbers. Now add your double-digit numbers. Now add your single digit numbers. Divide your double-digit answer by your single-digit answer. Try lots of examples. What happens? Can you explain it?

Upsetting Pitagoras

Find the smallest integer solution to the equation 1/x^2 + 1/y^2 = 1/z^2

Rudolff's Problem

A group of 20 people pay a total of £20 to see an exhibition. The admission price is £3 for men, £2 for women and 50p for children. How many men, women and children are there in the group?

Times Right

Age 11 to 16
Challenge Level

Fill these boxes with the digits 1, 2, 3, 4, 5, 6, 7 and 8 using each digit only once, so that the expression is correct. How many different solutions can you find?

Is it possible to do this with the digits 0 to 7? What about using the digits 2 to 9?

Printable NRICH Roadshow resource.