Logic Masters · Ages 11 to 12
Pythagoras MCQ
Find the hypotenuse of a right-angled triangle using Pythagoras, choosing from four options. A Grade 7–8 geometry worksheet with answer keys.
The learning journey
Every activity is one step. Here is where this one fits.
- PlayLearn the idea in a game
- Practise(you are here)Lock it in on paper
- ReviewCome back and keep it sharp
- MasterTake on a harder challenge
- AchieveEarn a certificate
About Pythagoras MCQ
Pythagoras MCQ introduces Grade 7 and 8 learners to one of the most famous results in mathematics: in a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides. Each question gives the two shorter sides and asks the student to find the hypotenuse, choosing the correct length from four options. The triangles are built from whole-number Pythagorean triples such as 3-4-5 and 5-12-13, so answers come out as exact integers and students can focus on understanding and applying the theorem rather than wrestling with decimals or square roots. Pythagoras is a cornerstone of lower-secondary geometry across the US, UK, Canada and Australia, opening the door to trigonometry, coordinate geometry and countless real-world distance problems. The multiple-choice format is well suited here because the distractors are designed around common mistakes, such as simply adding the two sides, helping students recognise and avoid those errors. The five levels vary the triangles so the worksheet stays fresh. Each page prints cleanly on a standard A4 sheet, and every level downloads with its own answer key giving the correct option and length. There is no advertising and no sign-up.
Common questions
- Are the answers whole numbers?
- Yes, the triangles use Pythagorean triples so the hypotenuse is always a whole number.
- What grade is this for?
- Grade 7 to Grade 8 learners aged 11 to 13.
- Is an answer key included?
- Yes, every level gives the correct option and length.
A hand for grown-ups
- Before you start
- Point out a few shapes in the room first. Geometry starts with noticing, and it is everywhere.
- While they work
- Encourage them to turn shapes around and look from different angles — literally, with a real object if there is one.
- Afterwards
- Go on a shape hunt around the house together. Naming real shapes cements the vocabulary.
- Watch out for
- Thinking a rotated square is a "diamond", or that size changes what a shape is. Turning a real cut-out shows it is the same shape.
- Away from the screen
- Spot shapes on a walk, build with blocks, fold paper into shapes. Talk about corners and sides.
Where to go next
Chosen by the skills this activity practises.