How much longer are the edges (the linear scale factor of the enlargement)?
How much bigger is the area (the area scale factor of the enlargement)?
Now look at the illustration of the 3-dimensional solids. One is […]
The total world population in 2017 is 7.5 billion (7,500,000,000). What percentage of the world population is without safe drinking water?
The world […]
Which cup would you fill with water if you are really thirsty and want a lot to drink?
For your company, you have to design spinning tops made from two pieces glued together, a hemisphere and a cone, and you have to plan how they will be manufactured, packaged and sold.
(1) The radius of the circular surface where the pieces are glued together is 3 cm. The slant […]
Which holds the most? Which holds the least? How could you find out? Explore!
Find the area and circumference of the circle.
Find the area and the perimeter of the triangle.
What do you notice about the ratios of the two areas and the ratios […]
How many other cuboids with whole number dimensions have the same volume?
Do any of them have the same surface area?
Which has the biggest surface area? Which has the smallest?
How many have a square cross section?
The external dimensions of the stand are 10 cm by 10 cm.
What are the volume and surface area of the stand?
The sketch below shows how I marked […]
Imagine dipping the large cube into a pot of yellow paint so the whole outer surface is covered. What is its surface area?
Now imagine breaking the […]
Make boxes with different volumes by varying the sizes of the squares that you cut […]