Page 30 - 新思维数学学生用书7 样章

Project 1 Mixed-up properties

Project 1

Mixed-up properties

Here are nine property cards:

Their difference is a Their highest common Their product has
factor of their sum factor (HCF) is 1 exactly 4 factors

Their sum is a Their lowest common
Their difference is prime
square number multiple (LCM) is 12

They are both They are both prime Their product is a
factors of 30 cube number

Here are six number cards:

2 3 4 5 6 7

Can you find a way to arrange the property cards and the number cards in a grid, so
that each property card describes the pair of numbers at the top of the column and

on the left of the row?
For example, the cell marked * could contain the card ‘They are both prime’ because
2 and 5 are both prime.

Can you find more than one way to arrange the
4 5 7 cards?

Which cards could go in lots of different places?
2 *
Which cards can only go in a few places?
Could you replace the six numbers with other
3
numbers and still complete the grid?

6

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