
Exploring and noticing
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problemThink of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?
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problem
Skeleton shapes
How many balls of modelling clay and how many straws does it take to make these skeleton shapes?
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problem
Cycling squares
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?
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problem
Two primes make one square
Can you make square numbers by adding two prime numbers together?
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problem
A puzzling cube
Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?
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problem
Shopping basket
The items in the shopping basket add and multiply to give the same amount. What could their prices be?
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problem
Multiplication squares
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.
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problem
Reach 100
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.
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problem
All the digits
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?
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problem
One wasn't square
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.