List

Multiplying and dividing

Ordering cards
problem

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.
Highest and Lowest
problem

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

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

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

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

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

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

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

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

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?

Let us divide!
problem

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?
Forgot the Numbers
problem

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?

problem

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

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?

problem

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

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

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

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.

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?

This Pied Piper of Hamelin
problem

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!

Four goodness sake
problem

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?