Working systematically

There are 549 NRICH Mathematical resources connected to Working systematically
On Target
problem

On Target

Age
7 to 11
Challenge level
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You have 5 darts and your target score is 44. How many different ways could you score 44?
The School Trip
problem

The School Trip

Age
5 to 7
Challenge level
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Lorenzie was packing his bag for a school trip. He packed four shirts and three pairs of pants. "I will be able to have a different outfit each day", he said. How many days will Lorenzie be away?
Is a Square a Rectangle?
problem

Is a Square a Rectangle?

Age
7 to 11
Challenge level
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How many rectangles can you find in this shape? Which ones are differently sized and which are 'similar'?
X is 5 squares
problem

X is 5 squares

Age
7 to 11
Challenge level
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Can you arrange 5 different digits (from 0 - 9) in the cross in the way described?
Teddy Bear Line-Up
problem

Teddy Bear Line-Up

Age
5 to 7
Challenge level
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What is the least number of moves you can take to rearrange the bears so that no bear is next to a bear of the same colour?
Buying a Balloon
problem

Buying a Balloon

Age
7 to 11
Challenge level
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Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?
A City of Towers
problem

A City of Towers

Age
5 to 7
Challenge level
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In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?
Three Way Mix Up
problem

Three Way Mix Up

Age
5 to 11
Challenge level
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Jack has nine tiles. He put them together to make a square so that two tiles of the same colour were not beside each other. Can you find another way to do it?
2, 4, 6, 8
problem

2, 4, 6, 8

Age
5 to 7
Challenge level
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Using the cards 2, 4, 6, 8, +, - and =, what number statements can you make?
Jumping Cricket
problem

Jumping Cricket

Age
5 to 7
Challenge level
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El Crico the cricket has to cross a square patio to get home. He can jump the length of one tile, two tiles and three tiles. Can you find a path that would get El Crico home in three jumps?