Year 5 Visualising and representing

In this swimming pool, the steps go below the water. How could you number the steps below the water?

Can you replace the letters with numbers? Is there only one solution in each case?

Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?

What numbers would you put on this number line as it goes under the sea level?

This task offers opportunities to subtract fractions using A4 paper.

Watch this animation. What do you see? Can you explain why this happens?

Can you match these calculation methods to their visual representations?

Can you use four digits to make four two-digit numbers that add to 100?

Can you make square numbers by adding two prime numbers together?

Try adding fractions using A4 paper.

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?

Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?

Try out these calculations. Are you surprised by the results?