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Question P4–P5–P6 Gap and difference

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Flower pots rearranged in rows — the nursery

In a garden nursery, flower pots were arranged in rows with exactly 15 pots in each row. The gardener bought 10 more pots and rearranged all the pots. There are now exactly 10 pots in each row and 8 more rows than before. How many flower pots are there in the nursery now?

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Gap and difference

Share the same things two ways. One way leaves too many, the other too few.

In this one. The extra rows' capacity minus the pots actually added is the number of pots redistributed from the old rows.

5 to a row3 chairs left over4 rowsfive chairs in eachspare3 chairs with no row7 to a row5 places short4 rowsseven in each — wider rowsgaps5 empty places, not 5 chairsThe swing3 over + 5 short = 8per roweach row gains 2, so 8 ÷ 2 = 4 rows

How to spot it

Objects are grouped two different ways with a leftover in one arrangement and a shortage in the other, using words like 'left over' and 'short of'.

Common mistake

Children combine the leftover and the shortfall in the wrong direction. The gap must then be divided by the difference in group size, not by either group size.

Practise a similar question

Challenging In a school hall, chairs were arranged in rows such that there were exactly 9 chairs in each row. For a concert, Mr Ong brought 6 more chairs into the school hall and rearranged all the chairs. There are now exactly 7 ch…
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