List

The problem with problem solving at Stage 2

Baravelle
problem
Favourite

Baravelle

Age
7 to 16
Challenge level
filled star filled star empty star

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

Multiplication Squares
problem
Favourite

Multiplication squares

Age
7 to 11
Challenge level
filled star empty star empty star

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.

Consecutive Numbers
problem
Favourite

Consecutive numbers

Age
7 to 14
Challenge level
filled star empty star empty star

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

Beads and bags
problem
Favourite

Beads and bags

Age
5 to 11
Challenge level
filled star empty star empty star
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?
Andy's Marbles
problem
Favourite

Andy's marbles

Age
7 to 11
Challenge level
filled star filled star empty star

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.

Fifteen cards
problem
Favourite

Fifteen cards

Age
7 to 11
Challenge level
filled star empty star empty star
Can you use the information to find out which cards I have used?
Take three numbers
problem
Favourite

Take three numbers

Age
7 to 11
Challenge level
filled star empty star empty star

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

Sealed Solution
problem
Favourite

Sealed solution

Age
7 to 11
Challenge level
filled star filled star empty star
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?