The Problem with Problem Solving at Stage 2

problem

Favourite

Build it up

Age

7 to 11

Challenge level

Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.

problem

Favourite

Zios and Zepts

Age

7 to 11

Challenge level

On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

problem

Teddy Town

Age

5 to 11

Challenge level

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

problem

Tea Cups

Age

7 to 14

Challenge level

Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.

problem

Favourite

Baravelle

Age

7 to 16

Challenge level

What can you see? What do you notice? What questions can you ask?

problem

Favourite

Multiplication Squares

Age

7 to 11

Challenge level

Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

problem

Favourite

Consecutive Numbers

Age

7 to 14

Challenge level

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

problem

Favourite

Beads and bags

Age

5 to 11

Challenge level

How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?

problem

Favourite

Andy's Marbles

Age

7 to 11

Challenge level

Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.

problem

Favourite

Fifteen cards

Age

7 to 11

Challenge level

Can you use the information to find out which cards I have used?

problem

Favourite

Take three numbers

Age

7 to 11

Challenge level

What happens when you add three numbers together? Will your answer be odd or even? How do you know?

problem

Favourite

Sealed Solution

Age

7 to 11

Challenge level

Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

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For younger learners

The Problem with Problem Solving at Stage 2

Build it up

Zios and Zepts

Teddy Town

Tea Cups

Baravelle

Multiplication Squares

Consecutive Numbers

Beads and bags

Andy's Marbles

Fifteen cards

Take three numbers

Sealed Solution