Pythagoras Quiz

Here are some questions about Pythagoras' Theorem.
Can you figure out the answers?
[Don't forget to include the units and leave no spaces]

What is the name for the longest side of a right angled triangle?
What is the length of the longest side of a right angled triangle if the two shorter sides are 3cm and 4cm?
What is the length of the longest side of a right angled triangle if the two shorter sides are 6cm and 8cm?
What is the length of the longest side of a right angled triangle if the two shorter sides are 5cm and 12cm?

Find the length of AB to 1 decimal place.

Find the length of EG to 1 decimal place.

Find the length of JK to 1 decimal place.
A rectangular swimming pool is 21m wide and 50m long. Calculate the length of a diagonal to 1 decimal place.
A ladder is 6m long. How far from the base of a wall should it be placed if it is to reach 5m up the wall? Give your answer correct to 1 decimal place
One side of a right angled triangle is 10cm. The other two sides are both of length x. Calculate x to 3 significant figures.

See also Pythagoras Basics



Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

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Comment recorded on the 14 October 'Starter of the Day' page by Inger Kisby, Herts and Essex High School:

"Just a quick note to say that we use a lot of your starters. It is lovely to have so many different ideas to start a lesson with. Thank you very much and keep up the good work."

Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

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Tran Towers

Tran Towers

A mathematical adventure game in the enigmatic home of Transum. Create your own map as you go deeper and deeper into this maze of rooms looking for the clues to find the treasure room.


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