Working systematically

There are 604 NRICH Mathematical resources connected to Working systematically

problem

Favourite

Integrated product sudoku

Age

11 to 16

Challenge level

This Sudoku puzzle can be solved with the help of small clue-numbers on the border lines between pairs of neighbouring squares of the grid.

problem

Favourite

Thirsty?

Age

5 to 7

Challenge level

Can you lay out the pictures of the drinks in the way described by the clue cards?

problem

Favourite

Curious number

Age

7 to 11

Challenge level

Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

problem

Favourite

Finding factors

Age

14 to 16

Challenge level

Can you find the hidden factors which multiply together to produce each quadratic expression?

problem

Favourite

2, 4, 6, 8

Age

5 to 7

Challenge level

Using the cards 2, 4, 6, 8, +, - and =, what number statements can you make?

problem

Favourite

What's possible?

Age

14 to 16

Challenge level

Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?

problem

Favourite

Heads and feet

Age

5 to 7

Challenge level

On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?

problem

Favourite

Square corners

Age

7 to 11

Challenge level

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

problem

Favourite

Counting cards

Age

7 to 11

Challenge level

A magician took a suit of thirteen cards and held them in his hand face down. Every card he revealed had the same value as the one he had just finished spelling. How did this work?

problem

Favourite

Eggs in baskets

Age

5 to 7

Challenge level

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?

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Working mathematically

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For younger learners

Working systematically

Integrated product sudoku

Thirsty?

Curious number

Finding factors

2, 4, 6, 8

What's possible?

Heads and feet

Square corners

Counting cards

Eggs in baskets