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These activities are part of our Primary collections, which are problems grouped by topic.
Here's a strategy game with lots to explore. Can you find out enough to guarantee a win, no matter what the settings?
This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.
These clocks have been reflected in a mirror. What times do they say?
Look at some of the results from the Olympic Games in the past. How do you compare if you try some similar activities?
In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?
What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.
These rectangles have been torn. How many squares did each one have inside it before it was ripped?
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?
Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?
The challenge for you is to make a string of six (or more!) graded cubes.
These clocks have only one hand, but can you work out what time they are showing from the information?
My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?
Stuart's watch loses two minutes every hour. Adam's watch gains one minute every hour. Use the information to work out what time (the real time) they arrived at the airport.
Can you put these mixed-up times in order? You could arrange them in a circle.
Can you draw a square in which the perimeter is numerically equal to the area?
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?
What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?
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?
During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?