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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.