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Small tomato seedlings in pink pots.
problem

Find From Factors

11 to 14

Weekly Problem 35 - 2006
A number has exactly eight factors, two of which are 21 and 35. What is the number?

Small tomato seedlings in pink pots.
problem

Factor Sum

11 to 14

Given any positive integer n, Paul adds together the factors of n, apart from n itself. Which of the numbers 1, 3, 5, 7 and 9 can never be Paul's answer?

Small tomato seedlings in pink pots.
problem

Subtracting to 2008

11 to 14

Can you work out the sum of the missing digits in this subtraction?

Small pepper seedlings in turquoise pots.
problem

Contact Circles

14 to 16

These four touching circles have another circle hiding amongst them...

Small pepper seedlings in turquoise pots.
problem

Net Result

11 to 14

The net shown here is cut out and folded to form a cube. Which face is then opposite the face marked X?

Small pepper seedlings in turquoise pots.
problem

Guillotine

11 to 14

Weekly Problem 9 - 2006
What fraction of the area of the rectangle is shaded?

Small pepper seedlings in turquoise pots.
problem

Exactly Three-Quarters

11 to 14

Weekly Problem 30 - 2007
Three-quarters of the area of the rectangle has been shaded. What is the length of x?

Small pepper seedlings in turquoise pots.
problem

Flagged Up

11 to 14

Weekly Problem 31 - 2008
The flag is given a half turn anticlockwise about the point O and is then reflected in the dotted line. What is the final position of the flag?

Small tomato seedlings in yellow pots.
problem

Birthday Party

11 to 14

The 30 students in a class have 25 different birthdays between them. What is the largest number that can share any birthday?

Playing with factors and multiples
article

Playing With Factors and Multiples

5 to 11

This article for primary teachers outlines why developing an intuitive 'feel' for numbers matters, and how our activities focusing on factors and multiples can help.

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