Exploring and noticing
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problemFind another number that is one short of a square number and when you double it and add 1, the result is also a square number. -
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problemArranging the tables
There are 44 people coming to a dinner party. There are 15 square tables that seat 4 people. Find a way to seat the 44 people using all 15 tables, with no empty places. -
problemFavouriteEgyptian rope
The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?
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problemPizza cut
Using only six straight cuts, find a way to make as many pieces of pizza as possible. (The pieces can be different sizes and shapes). -
problemFavouriteWonky watches
Mandeep's watch loses two minutes every hour. Adam's watch gains one minute every hour. Can you work out what time they arrived at the airport?
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problemFavouriteMake 100
Find at least one way to put in some operation signs to make these digits come to 100.
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problemFavouriteForgot the numbers
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?
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problemFavouritePumpkin pie problem
Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?
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problemFavouriteAmy's dominoes
Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?