List

Multiplying and Dividing

Ordering cards
problem
Favourite

Ordering cards

Age
5 to 11
Challenge level
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This problem is designed to help children to learn, and to use, the two and three times tables.
Let us divide!
problem
Favourite

Let us divide!

Age
7 to 11
Challenge level
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Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?
Highest and Lowest
problem
Favourite

Highest and lowest

Age
7 to 11
Challenge level
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Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
Would You Rather?
problem
Favourite

Would you rather?

Age
7 to 11
Challenge level
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Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

Trebling
problem
Favourite

Trebling

Age
7 to 11
Challenge level
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Can you replace the letters with numbers? Is there only one solution in each case?

What's in the Box?
problem
Favourite

What's in the box?

Age
7 to 11
Challenge level
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This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?

Shape Times Shape
problem
Favourite

Shape times shape

Age
7 to 11
Challenge level
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These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

What Do you Need?
problem
Favourite

What do you need?

Age
7 to 11
Challenge level
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Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?
How do you do it?
problem
Favourite

How do you do it?

Age
7 to 11
Challenge level
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This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.

Journeys in Numberland
problem
Favourite

Journeys in Numberland

Age
7 to 11
Challenge level
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Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

Jumping
problem
Favourite

Jumping

Age
7 to 11
Challenge level
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After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?

This Pied Piper of Hamelin
problem
Favourite

This Pied Piper of Hamelin

Age
7 to 11
Challenge level
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Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

Forgot the Numbers
problem
Favourite

Forgot the numbers

Age
7 to 11
Challenge level
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On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

One Wasn't Square
problem
Favourite

One wasn't square

Age
7 to 11
Challenge level
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Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.
All the Digits
problem
Favourite

All the digits

Age
7 to 11
Challenge level
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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?

Cycling Squares
problem
Favourite

Cycling squares

Age
7 to 11
Challenge level
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Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?
Andy's Marbles
problem
Favourite

Andy's marbles

Age
7 to 11
Challenge level
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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.

Route Product
problem
Favourite

Route product

Age
7 to 11
Challenge level
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Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

Table patterns go wild!
problem
Favourite

Table patterns go wild!

Age
7 to 11
Challenge level
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Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.
Gran, how old are you?
problem

Gran, how old are you?

Age
7 to 11
Challenge level
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When Charlie asked his grandmother how old she is, he didn't get a straightforward reply! Can you work out how old she is?
Four goodness sake
problem
Favourite

Four goodness sake

Age
7 to 11
Challenge level
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Use 4 four times with simple operations so that you get the answer 12. Can you make 15, 16 and 17 too?