Grade 8Mathpractice16 questions

Pythagoras’ theorem

Grade 8: square numbers and roots, find the hypotenuse, find a shorter side, real-life problems.

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Free to play. Teams answer on one screen; your phone is the remote. No student devices.

Questions

  1. What is 12²?

    • 112
    • 124
    • 144
    • 24
    Show answer144

  2. What is the square root of 81?

    • 18
    • 7
    • 8
    • 9
    Show answer9

  3. The square root of 50 is 25. (True or false?)

    Show answerFalse

  4. √40 lies between which two consecutive whole numbers? (Answer out loud)

    Show answer6 and 7

  5. A right triangle has legs 3 cm and 4 cm. How long is the hypotenuse?

    • 12 cm
    • 5 cm
    • 6 cm
    • 7 cm
    Show answer5 cm

  6. A right triangle has legs 5 cm and 12 cm. How long is the hypotenuse?

    • 11 cm
    • 13 cm
    • 15 cm
    • 17 cm
    Show answer13 cm

  7. The hypotenuse is the longest side of a right triangle. (True or false?)

    Show answerTrue

  8. A right triangle has legs 4 cm and 6 cm. Its hypotenuse is exactly…

    • 10 cm
    • √20 cm
    • √40 cm
    • √52 cm
    Show answer√52 cm

  9. A right triangle has hypotenuse 10 cm and one leg 6 cm. The other leg is…

    • 4 cm
    • 7 cm
    • 8 cm
    • 9 cm
    Show answer8 cm

  10. A right triangle has hypotenuse 17 cm and one leg 8 cm. Find the other leg in cm. (Answer out loud)

    Show answer15 cm

  11. In a right triangle with hypotenuse c and legs a and b, c² = a² − b². (True or false?)

    Show answerFalse

  12. A right triangle has hypotenuse 20 cm and one leg 12 cm. The other leg is…

    • 14 cm
    • 16 cm
    • 18 cm
    • 8 cm
    Show answer16 cm

  13. A 5 m ladder leans on a wall, its foot 3 m from the wall. How high does it reach?

    • 2 m
    • 4 m
    • 6 m
    • 8 m
    Show answer4 m

  14. A rectangular field is 40 m by 30 m. How long is its diagonal?

    • 35 m
    • 50 m
    • 60 m
    • 70 m
    Show answer50 m

  15. Mia walks 9 km east, then 12 km north. How far is she from the start in a straight line? (Answer out loud)

    Show answer15 km

  16. Which set of side lengths forms a right triangle?

    • 4, 5, 6
    • 5, 6, 7
    • 6, 7, 8
    • 9, 12, 15
    Show answer9, 12, 15

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