These activities are part of our Primary collections, which are problems grouped by topic.
Approaching Midnight
Discuss and Choose
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.
Dicey Perimeter, Dicey Area
Brush Loads
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.
Torn Shapes
Twice as Big?
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
Area and perimeter
What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
Olympic Starters
Look at some of the results from the Olympic Games in the past. How do you compare if you try some similar activities?
Through the Window
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?
Number Lines in Disguise
Making Boxes
Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?
Wonky Watches
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.
Numerically Equal
Can you draw a square in which the perimeter is numerically equal to the area?
Two Clocks
These clocks have only one hand, but can you work out what time they are showing from the information?
How Much Did it Cost?
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
Oh! Harry!
Next size up
The challenge for you is to make a string of six (or more!) graded cubes.
The time is ...
Watch the clock
Fitted
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?
5 on the clock
Ribbon Squares
What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?