Finding all possibilities Upper Primary

problem

Favourite

School fair necklaces

Age

5 to 11

Challenge level

How many possible symmetrical necklaces can you find? How do you know you've found them all?

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

Half time

Age

5 to 11

Challenge level

What could the half time scores have been in these Olympic hockey matches?

problem

Favourite

Buying a balloon

Age

7 to 11

Challenge level

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?

problem

Favourite

Fifteen cards

Age

7 to 11

Challenge level

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

problem

Cubes here and there

Age

7 to 11

Challenge level

How many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?

problem

Favourite

Trebling

Age

7 to 11

Challenge level

Can you replace the letters with numbers? Is there only one solution in each case?

problem

Favourite

Factor lines

Age

7 to 14

Challenge level

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

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?

problem

Favourite

Magic Vs

Age

7 to 11

Challenge level

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

problem

Favourite

Greater than or less than?

Age

7 to 11

Challenge level

Use the numbers and symbols to make this number sentence correct. How many different ways can you find?

problem

Favourite

All the digits

Age

7 to 11

Challenge level

This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?

problem

Favourite

Finding fifteen

Age

7 to 11

Challenge level

Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?

problem

Favourite

Button-up some more

Age

7 to 11

Challenge level

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

problem

Favourite

This Pied Piper of Hamelin

Age

7 to 11

Challenge level

Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

problem

Favourite

Reach 100

Age

7 to 11

Challenge level

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

problem

Favourite

5 on the clock

Age

7 to 11

Challenge level

On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?

problem

Favourite

Nine-pin triangles

Age

7 to 11

Challenge level

How many different triangles can you make on a circular pegboard that has nine pegs?

problem

Favourite

Inky cube

Age

7 to 14

Challenge level

This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?

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For younger learners

Finding all possibilities Upper Primary

School fair necklaces

Beads and bags

Half time

Buying a balloon

Fifteen cards

Cubes here and there

Trebling

Factor lines

Sealed solution

Magic Vs

Greater than or less than?

All the digits

Finding fifteen

Button-up some more

This Pied Piper of Hamelin

Reach 100

5 on the clock

Nine-pin triangles

Inky cube